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Journal articles on the topic 'Bazilevic function'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Jahangiri, Jay M., and Samaneh G. Hamidi. "Coefficients of Meromorphic Bi-Bazilevic Functions." Journal of Complex Analysis 2014 (March 9, 2014): 1–4. http://dx.doi.org/10.1155/2014/263917.

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A function is said to be bi-Bazilevic in a given domain if both the function and its inverse map are Bazilevic there. Applying the Faber polynomial expansions to the meromorphic Bazilevic functions, we obtain the general coefficient bounds for bi-Bazilevic functions. We also demonstrate the unpredictability of the behavior of early coefficients of bi-Bazilevic functions.

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2

Noor, Khalida I., and Sumayya A. Al-Bany. "On Bazilevic functions." International Journal of Mathematics and Mathematical Sciences 10, no. 1 (1987): 79–88. http://dx.doi.org/10.1155/s0161171287000103.

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LetB(β)be the class of Bazilevic functions of typeβ(β>0). A functionf ϵ B(β)if it is analytic in the unit discEandRezf′(z)f1−β(z)gβ(z)>0, wheregis a starlike function. We generalize the classB(β)by takinggto be a function of radius rotation at mostkπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. Fork=2, we obtain some of these results for the classB(β)of Bazilevic functions of typeβ.

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3

SAKAR, F. MUGE, and H. OZLEM GUNEY. "Coefficient bounds for M-fold symmetric analytic bi-Bazilevič functions using by Faber polynomial expansion." Creative Mathematics and Informatics 29, no. 1 (2020): 81–89. http://dx.doi.org/10.37193/cmi.2020.01.10.

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A function is said to be bi-univalent in the open unit disc D, if both the function f and its inverse are univalent in the unit disc. Besides, a function is said to be bi-Bazilevic in ˘ D, if both the function f and its inverse are Bazilevic there. The behaviour of these types of functions are unpredictable ˘ and not much is known about their coefficients. In this study, we determined coefficient estimates for the Taylor Maclaurin coefficients of the class on m-fold symmetric bi-Bazilevic functions. We also, use the Faber Polynomial expansions to obtain these coefficient estimates associated w

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4

S, Chinthamani, and Lokesh P. "The Extension of Chebyshev Polynomial Bounds Involving Bazilevic Function." Indian Journal of Science and Technology 16, no. 27 (2023): 2040–46. https://doi.org/10.17485/IJST/v16i27.icrms-207.

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Abstract <strong>Objectives:</strong> To propose a new class of bi-univalent function based on Bazilevic Sakaguchi function using the trigonometric polynomials Tn ( q;eiq ) and to find the Taylor – Maclaurin coefficient inequalities and Fekete – Szego inequality for upper bounds. <strong>Methods:</strong> The Chebychev’s polynomial has vast applications in GFT. The powerful tool called convolution (Or Hadamard product), subordination techniques are used in designing the new class. In establishing the core results, derivative tests, triangle inequality and appro

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5

Hamzat, Jamiu Olusegun. "Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–10. https://doi.org/10.9734/ARJOM/2017/33818.

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The focus of the present paper is to obtain the sharp upper bounds of <em>a<sub>2 </sub></em>(α<em>)</em> and <em>a<sub>3 </sub></em>(α<em>)</em> for functions belonging to the Bazilevic class <em>B</em>(<em>α,n,γ,ø</em>) associated with modified sigmoid function. The connection of these bounds to the celebrated Fekete-Szego functional | <em>a<sub>3</sub></em>(α<em>)-</em> <em>µa<sup>2</sup><sub>2</sub></em><sub> </sub>(α<em>)</em>| follows as simple consequence.

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6

Chinthamani, S., and P. Lokesh. "The Extension of Chebyshev Polynomial Bounds Involving Bazilevic Function." Indian Journal Of Science And Technology 16, no. 27 (2023): 2040–46. http://dx.doi.org/10.17485/ijst/v16i27.icrms-207.

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7

Olusegun, Hamzat. "Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–10. http://dx.doi.org/10.9734/arjom/2017/33818.

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8

Bukhari, Syed Zakar Hussain, Abbas Kareem Wanas, Mohamed Abdalla, and Sidra Zafar. "Region of variablity for Bazilevic functions." AIMS Mathematics 8, no. 11 (2023): 25511–27. http://dx.doi.org/10.3934/math.20231302.

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<abstract><p>Let $ \mathcal{H} $ be the family of analytic functions defined in an open unit disk $ \mathbb{U = }\left \{ z:|z| &lt; 1\right \} $ and</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \mathcal{A} = \left \{ f\in \mathcal{H}:f(0) = f^{^{\prime}}(0)-1 = 0, { \ \ \ \ \ }(z\in \mathbb{U})\right \} . $\end{document} </tex-math></disp-formula></p> <p>For $ A\in \mathbb{C}, B\in \lbrack-1, 0) $ and $ \gamma \in \left(\frac{-\pi} {2}, \frac{\pi}{2}\right), $ a function $ h\in $ $ \mathcal{P}_{\gamm

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9

Wanas, Abbas, Grigore Sălăgean, and Ágnes Orsolya. "Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials." Filomat 37, no. 4 (2023): 1037–44. http://dx.doi.org/10.2298/fil2304037w.

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In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.

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10

Santhiya, S., and K. Thilagavathi. "Applications of the Neutrosophic Poisson Distribution for Bi-Univalent Functions Involving the Modified Caputo’s Derivative Operator." Fractal and Fractional 7, no. 1 (2022): 35. http://dx.doi.org/10.3390/fractalfract7010035.

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This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic Poisson distribution with the modified Caputo’s derivative operator. We also discuss Fekete–Szego’s function problem in this family. Examples are given to support our case for the neutrosophic Poisson distribution. The fields of physics, mechanics, engineering, and biology all make extensive use of fractional derivatives.

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11

Hamzat, Jamiu Olusegun, and Malik Adekunle Olayiwola. "Initial Coefficients Estimates for Certain Generalized Class of Analytic Functions Involving Sigmoid Function." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–11. https://doi.org/10.9734/ARJOM/2017/33819.

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For function <em>F</em> <sub><em>a</em>,<em>n</em> </sub>(<em>Z</em>)of Bazilevic type, initial coefficients | <em>a<sub> j</sub></em><sub>+1</sub>(α<em>)</em> | , | <em>a<sub> j</sub></em><sub>+2</sub>(α<em>)</em> | and | <em>a<sub> j</sub></em><sub>+3</sub>(α<em>)</em>| for certain generalized class of analytic functions involving logistic sigmoid function are obtained. Further, the Fekete-Szego functional | <em>a<sub> j</sub></em><sub>+2</sub>(α<em>)-</em> <em>µa<sup>2</sup><sub>j</sub></em><sub>+1</sub>(α<em>)</em>| is also considered for functions belonging to the said class of analytic f

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12

Marjono, Estelita Maria Fernandes Gaspar та Rahmalia Firdausi Tamara. "Subordinateness of the subclass of Bazilevic functions B_2(α)". Hilbert Journal of Mathematical Analysis 1, № 2 (2023): 93–99. http://dx.doi.org/10.62918/hjma.v1i2.12.

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In 1999 Marjono has published about the subordinateness of subclass of Bazilevic functions. However, the value of β(γ) is not the largest one. In this paper we present our work with my student Estelita Maria from Universidade Timor Loro Sa’e and Rahmalia Firdausi Tamara to find the largest β(γ). This result was obtain by using the similar way with the theorem before and stressing in optimize approaching and also by using the maximum modulus principles as mention in Remark 1.9. For an analytic, normalized function f such that f(0) = f′(0)−1 = 0, there is a largest number β∗(γ) such that subordi

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13

Kareem Wanas, Abbas, and Alb Lupas Alina. "Applications of Horadam Polynomials on Bazilevic Bi-Univalent Function Satisfying Subordinate Conditions." Journal of Physics: Conference Series 1294 (September 2019): 032003. http://dx.doi.org/10.1088/1742-6596/1294/3/032003.

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14

Babu, O. S., C. Selvaraj, S. Logu, and Gangadharan Murugusundaramoorthy. "Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part." Boletim da Sociedade Paranaense de Matemática 34, no. 2 (2015): 63–73. http://dx.doi.org/10.5269/bspm.v34i2.22655.

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By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\

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15

Olatunji, S.O. "Sigmoid Function in the Space of Univalent lambda -Pseudo Starlike Function with Sakaguchi Type Functions." Journal of Progressive Research in Mathematics 7, no. 4 (2016): 1164–72. https://doi.org/10.5281/zenodo.3977286.

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In this work, the sigmoid function in the space of univalent lambda - peseudo starlike function with Sakaguchi type functions are investigated. The first few coefficient bounds for the class  (s,t,) / were obtained. Also, the relevant connections to Fekete-Szego theorem for this class were briefly discussed. Our results serves as a new generalization in this direction and it gives birth some existing subclasses of functions.

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16

A., A. Yusuf. "Subclass of a certain Bazilevic functions associated with Caratheodory functions normalized by other than unity with two radii." Asia Mathematika 5, no. 1 (2021): 76–82. https://doi.org/10.5281/zenodo.4722486.

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Following the approach in \cite{ref6}, we introduced a new subclass of Basilevic function associated with Caratheodory function other than unity define  by a new operator denoted by \(B^{n}_{\sigma, \gamma}(\lambda, \beta)\) and determine the radii of two disks in which the solution of a certain integral equation involving a function \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) is in \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) and for which each function \(f \in B^{n}_{\sigma, \gamma}(\lambda, \beta)\) is a \(\sigma-n\)-spiral univalent.

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17

Al-Oboudi, F. M. "-Bazilevic Functions." Abstract and Applied Analysis 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/383592.

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The aim of this paper is to define and study a class of Bazilevic functions using the generalized Salagean operator. Some properties of this class are investigated: inclusion relation, some convolution properties, coefficient bounds, and other interesting results.

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18

El-Ashwah, Rabha Md, and D. K. Thomas. "Growth results for a subclass of Bazilevič functions." International Journal of Mathematics and Mathematical Sciences 8, no. 4 (1985): 785–93. http://dx.doi.org/10.1155/s0161171285000862.

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Forα>0, letB(α)be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike functiong(z)≡zgives a proper subclassB1(α)ofB(α). ForB(α), correct growth estimates in terms of the area function are unknown. Several results in this direction are given forB1(12).

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19

Elhosh, M. M. "On a subclass of Bazilevic functions." Bulletin of the Australian Mathematical Society 39, no. 2 (1989): 167–70. http://dx.doi.org/10.1017/s0004972700002641.

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20

Fitri, Sa’adatul, and Derek K. Thomas. "Gamma-Bazilevič Functions." Mathematics 8, no. 2 (2020): 175. http://dx.doi.org/10.3390/math8020175.

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For γ ≥ 0 and α ≥ 0 , we introduce the class B 1 γ ( α ) of Gamma–Bazilevič functions defined for z ∈ D by R e z f ′ ( z ) f ( z ) 1 − α z α + z f ″ ( z ) f ′ ( z ) + ( α − 1 ) z f ′ ( z ) f ( z ) − 1 γ z f ′ ( z ) f ( z ) 1 − α z α 1 − γ > 0 . We shown that B 1 γ ( α ) is a subset of B 1 ( α ) , the class of B 1 ( α ) Bazilevič functions, and is therefore univalent in D . Various coefficient problems for functions in B 1 γ ( α ) are also given.

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21

London, R. R., and D. K. Thomas. "The Derivative of Bazilevic Functions." Proceedings of the American Mathematical Society 104, no. 1 (1988): 235. http://dx.doi.org/10.2307/2047493.

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22

NOOR, KHALIDA INAYAT, and KHALIL AHMAD. "ON HIGHER ORDER BAZILEVIC FUNCTIONS." International Journal of Modern Physics B 27, no. 04 (2012): 1250203. http://dx.doi.org/10.1142/s0217979212502037.

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A new class Bk(α, ρ, γ) of analytic functions defined in the unit disc is introduced. This class contains generalized Bazilevic functions of type α. Arclength problem, coefficient and distortion results are studied and also discussed the rate of growth of Hankel determinant for these functions.

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23

Breaz, Daniel, Kadhavoor R. Karthikeyan, Elangho Umadevi, and Alagiriswamy Senguttuvan. "Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator." Axioms 11, no. 12 (2022): 687. http://dx.doi.org/10.3390/axioms11120687.

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We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function. We obtain coefficient estimates and subordination conditions for starlikeness and Fekete–Szegö functional for functions belonging to the class.

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24

Sunday Oluwafemi Olatunji та Emmanuel Jesuyon Dansu. "Coefficient estimates for Bazileviˇc Ma-Minda functions in the space of sigmoid function". Malaya Journal of Matematik 4, № 03 (2016): 505–12. http://dx.doi.org/10.26637/mjm403/021.

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In this work, the authors investigated the coefficient estimates for Bazilevič Ma-Minda Functions for the class $T_n^\alpha(\lambda, \beta, l, \Phi)$. The first few coefficient bounds for this class were obtained and also the relevant connection to Fekete-Szegö theorem and were briefly discussed. Our results serve as a new generalization in this direction and gives birth to many corollaries.

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25

Ahuja, Om, Asena Çetinkaya, and Naveen Kumar Jain. "Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions." Journal of Mathematics 2022 (January 19, 2022): 1–7. http://dx.doi.org/10.1155/2022/2065034.

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In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazilevic̆ functions. We examine inclusion properties, radius problems, and an application of the generalized Bernardi–Libera–Livingston integral operator for this function class.

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26

Jahangiri, Massoud. "Disproof of a coefficient estimate related to Bazilevic functions." Bulletin of the Australian Mathematical Society 42, no. 1 (1990): 121–24. http://dx.doi.org/10.1017/s0004972700028215.

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27

Al-Khafaji, Saba N., Mohaimen Muhammed Abbood, and Ali Al-Fayadh. "Certain class of non-Bazilević functions associated with exponential function." Journal of Interdisciplinary Mathematics 24, no. 4 (2021): 1007–16. http://dx.doi.org/10.1080/09720502.2021.1884390.

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28

Thomas, D. K. "On a subclass of Bazilevič functions." International Journal of Mathematics and Mathematical Sciences 8, no. 4 (1985): 779–83. http://dx.doi.org/10.1155/s0161171285000850.

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LetB(α)be the class of normalised Bazilevič functions of typeα>0with respect to the starlike functiong. LetB1(α)be the subclass ofB(α)wheng(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging toB1(α).

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29

Shergill, Kuldeep Kaur, and Sukhwinder Singh Billing. "Starlikeness of meromorphic functions involving certain differential inequalities." Open Journal of Mathematical Analysis 5, no. 1 (2021): 64–68. http://dx.doi.org/10.30538/psrp-oma2021.0083.

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30

Khan, Nazar, Ajmal Khan, Qazi Zahoor Ahmad, Bilal Khan, and Shahid Khan. "Study of Multivalent Spirallike Bazilevic Functions." AIMS Mathematics 3, no. 3 (2018): 353–64. http://dx.doi.org/10.3934/math.2018.3.353.

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31

Nunokawa, Mamoru, and Janusz Sokół. "On Bazilevic functions and Umezawa’s lemma." Filomat 33, no. 6 (2019): 1575–82. http://dx.doi.org/10.2298/fil1906575n.

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We consider some properties on |z| = r < 1 of analytic functions in the unit disk |z| < 1. Applying Umezawa?s lemma, On the theory of univalent functions, Tohoku Math J. 7(1955) 212-228, we prove some suffcient conditions for functions to be in the class of Bazilevic functions and some related results.

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32

Noor, Khalida Inayat. "On Uniformly Bazilevic and Related Functions." Abstract and Applied Analysis 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/345261.

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We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. Some interesting results are derived as special cases.

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33

Trąbka-Więcław, Mamoru Nunokawa, Janusz Sokół, Katarzyna. "Some Remarks on Close-to-Convex and Strongly Convex Functions." MATHEMATICA SCANDINAVICA 116, no. 2 (2015): 309. http://dx.doi.org/10.7146/math.scand.a-21165.

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We consider questions of the following kind: When does boundedness of $|{\arg \{1+zp'(z)/p(z)\}}|$, for a given analytic function $p$, imply boundedness of $|{\arg\{p(z)\}}|$? The paper determines the order of strong close-to-convexity in the class of strongly convex functions. Also, we consider conditions that are sufficient for a function to be a Bazilevič function.

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34

Cho, Nak, Virendra Kumar, and Ji Park. "The Coefficients of Powers of Bazilević Functions." Mathematics 6, no. 11 (2018): 263. http://dx.doi.org/10.3390/math6110263.

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In the present work, a sharp bound on the modulus of the initial coefficients for powers of strongly Bazilević functions is obtained. As an application of these results, certain conditions are investigated under which the Littlewood-Paley conjecture holds for strongly Bazilević functions for large values of the parameters involved therein. Further, sharp estimate on the generalized Fekete-Szegö functional is also derived. Relevant connections of our results with the existing ones are also made.

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35

Seoudy, Tamer M., and Amnah E. Shammaky. "Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5869. https://doi.org/10.29020/nybg.ejpam.v18i2.5869.

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Making use of the principle of subordination, we define a certain subclass of p-valently Bazilevič and non-Bazilevič functionsassociated with the Lemniscate of Bernoulli. Also, subordination results, inclusion relationship, convolution properties, coefficients estimate and Fekete--Szegö inequalities for this subclass are derived.

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36

Halim, S. A. "Some Bazilevič functions of order beta." International Journal of Mathematics and Mathematical Sciences 14, no. 2 (1991): 283–88. http://dx.doi.org/10.1155/s0161171291000327.

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37

Irmak, Hüseyin, Krzysztof Piejko, and Jan Stankiewicz. "A note involvingp-valently Bazilević functions." International Journal of Mathematics and Mathematical Sciences 2005, no. 7 (2005): 1149–53. http://dx.doi.org/10.1155/ijmms.2005.1149.

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38

Ni Made Asih, Sa'adatul Fitri, Ratno Bagus Edy Wibowo та Marjono. "Hankel Determinant and Toeplitz Determinant on the Class of Bazileviˇc Functions Related to the Lemniscate Bernoulli". European Journal of Pure and Applied Mathematics 16, № 2 (2023): 1290–301. http://dx.doi.org/10.29020/nybg.ejpam.v16i2.4772.

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In this papers, we investigate the Hankel determinant and Toeplitz determinant for the class Bazileviˇc Function B1(α, δ) related to the Bernoulli Lemniscate function on the unit disk D = {z : |z| < 1} and obtain the upper bounds of the determinant H2(1), H2(2), T2(1), and investigate H2(1) using coefficients invers function. We used lemma from Charateodory-Toeplitz and Libera about sharp inequalities for functions with positive real part.

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39

Al-Rawashdeh, Waleed. "A Class of Non-Bazilevic Functions Subordinate to Gegenbauer Polynomials." International Journal of Analysis and Applications 22 (February 5, 2024): 29. http://dx.doi.org/10.28924/2291-8639-22-2024-29.

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In this paper, we introduce and investigate a class non-Bazilevic functions that associated by Gegenbauer Polynomials. The coefficient estimates of functions belonging to this class are derived. Moreover, we obtain the classical Fekete-Szegö inequality of functions belonging to this class.

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40

Cui, Qun-Fa, Zhi-Gang Wang, Xiao-Hong Chen, and Feng-Hua Wen. "Sufficient Conditions for Non-Bazilevič Functions." Abstract and Applied Analysis 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/154912.

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41

Ularu, N. "Coefficient Estimates for Bi-Univalent Bazilevic Functions." Analysis in Theory and Applications 30, no. 3 (2014): 275–80. http://dx.doi.org/10.4208/ata.2014.v30.n3.3.

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42

London, R. R., and D. K. Thomas. "Corrigendum to "The Derivative of Bazilevic Functions"." Proceedings of the American Mathematical Society 109, no. 4 (1990): 1143. http://dx.doi.org/10.2307/2048148.

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43

Lokesh, P., and B. Srutha Keerthi. "RESULTS ON BAZILEVIC SAKAGUCHI TYPE OF FUNCTIONS." Advances in Mathematics: Scientific Journal 9, no. 8 (2020): 5763–74. http://dx.doi.org/10.37418/amsj.9.8.44.

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44

Deng, Qin. "On the logarithmic coefficients of Bazilevic˘ functions." Applied Mathematics and Computation 217, no. 12 (2011): 5889–94. http://dx.doi.org/10.1016/j.amc.2010.12.075.

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45

London, R. R., and D. K. Thomas. "The derivative of Bazilevič functions." Proceedings of the American Mathematical Society 104, no. 1 (1988): 235. http://dx.doi.org/10.1090/s0002-9939-1988-0958074-x.

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46

Ponnusamy, S. "Differential sobordination and Bazilevič functions." Proceedings Mathematical Sciences 105, no. 2 (1995): 169–86. http://dx.doi.org/10.1007/bf02880363.

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47

Halim, S. A., and D. K. Thomas. "A note on Bazilevič functions." International Journal of Mathematics and Mathematical Sciences 14, no. 4 (1991): 821–23. http://dx.doi.org/10.1155/s0161171291001126.

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Forα>0, letB1(α)be the class of normalized analytic functions defined in the open unit discDsatisfyingRe(f(z)/z)α−1f′(z)>0forz∈D. The sharp lower bound forRe(f(z)/z)αis obtained and the result is generalized to some iterated integral operators.

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48

Nunokawa, Mamoru, Janusz Sokół, and Huo Tang. "Length problems for Bazilevič functions." Demonstratio Mathematica 52, no. 1 (2019): 56–60. http://dx.doi.org/10.1515/dema-2019-0007.

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Abstract:

Abstract Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r). Furthermore M(r) = max|z|=r |f (z)|.We present some relations between these notions for Bazilevič functions.

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49

Wanas, Abbas Kareem. "Coefficient Estimates for Bazilevic Functions of Bi-Prestarlike Functions." Miskolc Mathematical Notes 21, no. 2 (2020): 1031. http://dx.doi.org/10.18514/mmn.2020.3174.

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50

NOOR, KHALIDA INAYAT. "SOME CLASSES OF ANALYTIC FUNCTIONS RELATED WITH BAZILEVIC FUNCTIONS." Tamkang Journal of Mathematics 28, no. 3 (1997): 201–4. http://dx.doi.org/10.5556/j.tkjm.28.1997.4315.

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Abstract:

A certain class $M_k(\alpha,\beta)$ of analytic functions is introduced and it is shown that $M_2(\alpha ,\beta)$ is contained in the class of Bazilcvic functions. Some other properties of $M_k(\alpha,\beta)$ are also derived.

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