Relevant bibliographies by topics / Bazilevic function

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Bazilevic function'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Bazilevic function"

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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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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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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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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>&nbsp;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 &ndash; Maclaurin coefficient inequalities and Fekete &ndash; Szego inequality for upper bounds.&nbsp;<strong>Methods:</strong>&nbsp;The Chebychev&rsquo;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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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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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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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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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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&lt;abstract&gt;&lt;p&gt;Let $ \mathcal{H} $ be the family of analytic functions defined in an open unit disk $ \mathbb{U = }\left \{ z:|z| &amp;lt; 1\right \} $ and&lt;/p&gt; &lt;p&gt;&lt;disp-formula&gt; &lt;label/&gt; &lt;tex-math id="FE1"&gt; \begin{document}$ \mathcal{A} = \left \{ f\in \mathcal{H}:f(0) = f^{^{\prime}}(0)-1 = 0, { \ \ \ \ \ }(z\in \mathbb{U})\right \} . $\end{document} &lt;/tex-math&gt;&lt;/disp-formula&gt;&lt;/p&gt; &lt;p&gt;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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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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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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Dissertations / Theses on the topic "Bazilevic function"

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El-Ashwah, R. M. "On Bazilevic and close-to-convex functions." Thesis, Swansea University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636777.

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Denote by S the class of functions f which are regular, normalised and univalent in the unit disc. The subclasses of S, consisting of functions which are Convex, Starlike, Close-to-Convex and Bazilevic, are denoted by C, S<SUP></SUP>, K and B(α,β), respectively. In Chapter 1 known results for the class S and its subclasses, which are needed in the thesis, are listed. The class B<SUB>1</SUB>(α) is the subject of investigation in Chapter 2 in which results concerning coefficients and length-area estimates are given. Growth estimates for the logarithmic derivative and the second integral mean of
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Book chapters on the topic "Bazilevic function"

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Noor, Khalida Inayat. "On Generalized p-valent Non-Bazilevic Type Functions." In Trends in Mathematics. Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-2113-5_10.

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Sahoo, Pravati, and R. N. Mohapatra. "A Survey On Some Special Classes of Bazilevič Functions and Related Function Classes." In Trends in Mathematics. Springer India, 2014. http://dx.doi.org/10.1007/978-81-322-2113-5_4.

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Aharonov, Dov. "Bazilevič theorem and the growth of univalent functions." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078340.

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"10. Bazilevič Functions." In Univalent Functions. De Gruyter, 2018. http://dx.doi.org/10.1515/9783110560961-010.

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"11. B1(α) Bazilevič Functions." In Univalent Functions. De Gruyter, 2018. http://dx.doi.org/10.1515/9783110560961-011.

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Conference papers on the topic "Bazilevic function"

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Saloomi, Mohammed H., Sondekola Rudra Swamy, Mohamed Al-Sultani, and Roaa Hatem Talib. "Quasi-Subordination on Pseudo and Bazilevic Bi-Univalent Functions Involving the Horadam Polynomials." In 2024 8th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT). IEEE, 2024. https://doi.org/10.1109/ismsit63511.2024.10757278.

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Lokesh, P., and S. Prema. "Quasi – subordination for a Bazilevic Sakaguchi function associated with k-analogue of Bessel function." In 5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0136948.

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Marjono, Saadatul Fitri, Ratno Bagus E. Wibowo та Ni Made Asih. "Distortion theorem for a subclass of Bazilevic functions B1(α)". У INTERNATIONAL CONFERENCE ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS 2022 (IConMAA 2022): Analysis, Uncertainty, and Optimization. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0191782.

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Pulala, Sumalatha, R. B. Sharma, and M. Haripriya. "Second Hankel determinant for Bazilevic functions subordinate to k-Fibonacci sequence." In SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS (SICME2019). Author(s), 2019. http://dx.doi.org/10.1063/1.5097538.

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Al-Khafaji, Saba N., Ali Al-Fayadh, and Mohaimen Muhammed Abbood. "The application of quasi-subordination for non-bazilević functions." In 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0104284.

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Suman Kumar, V., R. B. Sharma, and M. Haripriya. "Third Hankel determinant for Bazilevic functions related to a leaf like domain." In THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112273.

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Asih, Ni Made, Marjono Marjono, Sa’adatul Fitri та Ratno Bagus E.W. "Coefficient Estimates in the Class of Bazilevic Functions ℬ1(α) Related to the Lemniscate Bernoulli". У Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021). Atlantis Press, 2022. http://dx.doi.org/10.2991/apr.k.220503.008.

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Tielen, Roel, Matthias Möller, and Kees Vuik. "Multigrid Reduced in Time for Isogeometric Analysis." In VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12219.

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Isogeometric Analysis [1] has become increasingly popular as an alternative to the Finite Element Method. Solving the resulting linear systems when adopting higher order B-spline basis functions remains a challenging task, as most (standard) iterative methods have a deteriorating preformance for higher values of the approximation order p.Recently, we succesfully applied p-multigrid methods to discretizations arising in IsogeometricAnalysis [2]. In contrast to h-multigrid methods, where each level of the multigrid hierarchycorresponds to a different mesh width h, the p-multigrid hierarchy is co
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