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Journal articles on the topic 'K-uniformly starlike function'

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Published: 2 June 2025
Last updated: 31 July 2025

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1

Panigrahi, T., and R. El-Ashwah. "Mapping properties of certain linear operator associated with hypergeometric functions." Boletim da Sociedade Paranaense de Matemática 39, no. 2 (2021): 223–36. http://dx.doi.org/10.5269/bspm.39670.

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The main object of the present paper is to nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k 􀀀ST () and k 􀀀UCV() respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results.
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2

Ramachandran, C., S. Annamalai, and Basem Frasin. "The q-difference operator associated with the multivalent function bounded by conical sections." Boletim da Sociedade Paranaense de Matemática 39, no. 1 (2021): 133–46. http://dx.doi.org/10.5269/bspm.32913.

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In this paper we obtain some inclusion relations of k - starlike functions, k - uniformly convex functions and quasi-convex functions. Furthermore, we obtain coe¢ cient bounds for some subclasses of fractional q-derivative multivalent functions together with generalized Ruscheweyh derivative.
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3

Vanitha, Lakshminarayanan, Chellakutti Ramachandran, and Teodor Bulboacă. "CLASSES OF k-UNIFORMLY CONVEX AND STARLIKE FUNCTIONS INVOLVING THE GENERALIZED FOX-WRIGHT FUNCTION." Far East Journal of Mathematical Sciences (FJMS) 99, no. 7 (2016): 1081–107. http://dx.doi.org/10.17654/ms099071081.

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4

E., E. Ali. "SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION." International Journal of Research - Granthaalayah 7, no. 9 (2019): 218–29. https://doi.org/10.5281/zenodo.3473005.

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A new operator n n n n f z z a z n n ( ) 4 ( ) ( ( 1) ) , 2 ( 1) 1 ( )               W    is introduced for functions of the form   n n n f z  z   a z  2 which are analytic in the open unit disk U  z C: z 1 . We introduce several inclusion properties of the new k-uniformly classes US ;k;   , UC;k; , UK;k; ,  and UK ;k; ,  of analytic functions defined by using the Wright function with the operator  W, and the main object of this paper is to investigate various inclusion relationships for these classes. In addition, we proved that a special pr
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5

Akbarally, Ajab, and Maslina Darus. "Applications of fractional calculus to $ k $-uniformly starlike and $ k $-uniformly convex functions of order $ \alpha $." Tamkang Journal of Mathematics 38, no. 2 (2007): 103–9. http://dx.doi.org/10.5556/j.tkjm.38.2007.81.

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A new subclass of analytic functions $ k-SP_\lambda(\alpha) $ is introduced by applying certain operators of fractional calculus to $k$-uniformly starlike and $ k $-uniformly convex functions of order $ \alpha $. Some theorems on coefficient bounds and growth and distortion theorems for this subclass are found. The radii of close to convexity, starlikeness and convexity for this subclass is also derived.
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6

Aqlan, Essam, Jay M. Jahangiri, and S. R. Kulkarni. "New classes of $k$-uniformly convex and starlike functions." Tamkang Journal of Mathematics 35, no. 3 (2004): 261–66. http://dx.doi.org/10.5556/j.tkjm.35.2004.207.

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Certain classes of analytic functions are defined which will generalize new, as well as well-known, classes of k-uniformly convex and starlike functions. We provide necessary and sufficent coefficient conditions, distortion bounds, extreme points and radius of starlikeness for these classes.
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7

Porwal, Saurabh, Poonam Dixit, Ritesh Agarwal, and Akhilesh Singh. "UNIFORMLY CONVEX AND STARLIKE PROBABILITY DISTRIBUTION." South East Asian J. of Mathematics and Mathematical Sciences 19, no. 03 (2023): 481–92. http://dx.doi.org/10.56827/seajmms.2023.1903.37.

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The purpose of the present paper is to introduce k− uniformly convex and k− uniformly starlike discrete probability distributions and obtain some results regarding moments, factorial moments and moment generating functions for these distributions.
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8

Seker, Bilal, Mugur Acu, and Sevtap Sumer Eker. "SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR." Bulletin of the Korean Mathematical Society 48, no. 1 (2011): 169–82. http://dx.doi.org/10.4134/bkms.2011.48.1.169.

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9

Sharma, R. B. "A Sub Class of K – Uniformly Starlike Functions with Negative Coefficients." IOSR Journal of Mathematics 7, no. 6 (2013): 74–82. http://dx.doi.org/10.9790/5728-0767482.

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10

Ali, Irfan, Yousaf Ali Khan Malghani, Sardar Muhammad Hussain, Nazar Khan, and Jong-Suk Ro. "Generalization of k-Uniformly Starlike and Convex Functions Using q-Difference Operator." Fractal and Fractional 6, no. 4 (2022): 216. http://dx.doi.org/10.3390/fractalfract6040216.

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In this article we have defined two new subclasses of analytic functions k−Sq[A,B] and k−Kq[A,B] by using q-difference operator in an open unit disk. Furthermore, the necessary and sufficient conditions along with certain other useful properties of these newly defined subclasses have been calculated by using q-difference operator.
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11

AGHALARY, RASOUL, and JAY M. JAHANGIRI. "INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS." Bulletin of the Korean Mathematical Society 42, no. 3 (2005): 623–29. http://dx.doi.org/10.4134/bkms.2005.42.3.623.

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12

Kanas, S., Ş. Altinkaya, and S. Yalçin. "Subclass of k-Uniformly Starlike Functions Defined by the Symmetric q-Derivative Operator." Ukrainian Mathematical Journal 70, no. 11 (2019): 1727–40. http://dx.doi.org/10.1007/s11253-019-01602-1.

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13

Bednarz, Urszula. "STABILITY OF THE HADAMARD PRODUCT OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS IN CERTAIN NEIGHBOURHOOD." Demonstratio Mathematica 38, no. 4 (2005): 837–46. http://dx.doi.org/10.1515/dema-2005-0407.

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14

Kanas, Stanisława. "Norm of pre-Schwarzian derivative for the class of k-uniformly convex and k-starlike functions." Applied Mathematics and Computation 215, no. 6 (2009): 2275–82. http://dx.doi.org/10.1016/j.amc.2009.08.021.

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15

Amsheri, Somia, and Valentina Zharkova. "Certain Subclass of k-Uniformly p-Valent Starlike and Convex Functions Associated with Fractional Derivative Operators." British Journal of Mathematics & Computer Science 2, no. 4 (2012): 242–54. http://dx.doi.org/10.9734/bjmcs/2012/1352.

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16

Salah, Jamal, Hameed Ur Rehman, and Iman Al Buwaiqi. "Inclusion Results of a Generalized Mittag-Leffler-Type Poisson Distribution in the k-Uniformly Janowski Starlike and the k-Janowski Convex Functions." Mathematics and Statistics 11, no. 1 (2023): 22–27. http://dx.doi.org/10.13189/ms.2023.110103.

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17

AOUF, MOHAMED KAMAL, NANJUNDAN MAGESH та JAGADESAN YAMINI. "Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order α and Type β with Varying Argument Coefficients". Kyungpook mathematical journal 55, № 2 (2015): 383–94. http://dx.doi.org/10.5666/kmj.2015.55.2.383.

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18

Amsheri, Somia Muftah, and Valentina Zharkova. "Certain Subclass of k-Uniformly p-Valent Starlike and Convex Functions Associated with Fractional Derivative Operators." December 8, 2012. https://doi.org/10.5281/zenodo.9015.

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In this paper, we introduce a new subclass k 􀀀 UCV ;;br /> ;br /> ; (p; ) of k-uniformly p-valent starlike andbr /> convex functions in the open unit disk using a fractional differential operator. We obtain coefficientbr /> estimates, distortion theorems, extermal properties, closure theorems, and inclusion properties.br /> The radii for k-uniformly starlikeness, convexity and close-to-convexity for functions belonging tobr /> this class are also determined./p> p>Note: Due to technical problem the abstract was not uploaded properly. Kindly see the PDF copy for the corre
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19

Bednarz, U., and S. Kanas. "Stability of the Integral Convolution of k-Uniformly Convex and k-Starlike Functions." Journal of Applied Analysis 10, no. 1 (2004). http://dx.doi.org/10.1515/jaa.2004.105.

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20

Singh Parihar, Ham. "INCLUSION RELATIONS FOR K-UNIFORMLY STARLIKE FUNCTIONS AND SOME LINEAR OPERATOR." Proyecciones (Antofagasta) 28, no. 2 (2009). http://dx.doi.org/10.4067/s0716-09172009000200006.

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21

Yaşar, Elif, and Sibel Yalçin. "Neighbourhoods of two new classes of harmonic univalent functions with varying arguments." Mathematica Slovaca 64, no. 6 (2014). http://dx.doi.org/10.2478/s12175-014-0283-x.

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AbstractIn this paper, two new classes of harmonic univalent functions with varying arguments are defined by using planar harmonic convolution operator involving hypergeometric functions. Those classes are of special interest because they contain various classes of well-known harmonic univalent functions such as the classes of k-starlike and k-uniformly convex harmonic univalent functions. The main purpose of this paper is to investigate neighbourhoods of the classes in question.
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22

Amini, Ebrahim, and Shrideh Al-Omari. "On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points." Afrika Matematika 36, no. 1 (2025). https://doi.org/10.1007/s13370-025-01254-4.

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23

Malik, Faroze Ahmad, Nusrat Ahmed Dar, and Chitaranjan Sharma. "Certain Properties of a Generalized Class of Analytic Functions Involving Some Convolution Operator." Earthline Journal of Mathematical Sciences, May 28, 2021, 49–76. http://dx.doi.org/10.34198/ejms.7121.4976.

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We use the concept of convolution to introduce and study the properties of a unified family $\mathcal{TUM}_\gamma(g,b,k,\alpha)$, $(0\leq\gamma\leq1,\,k\geq0)$, consisting of uniformly $k$-starlike and $k$-convex functions of complex order $b\in\mathbb{C}\setminus\{0\}$ and type $\alpha\in[0,1)$. The family $\mathcal{TUM}_\gamma(g,b,k,\alpha)$ is a generalization of several other families of analytic functions available in literature. Apart from discussing the coefficient bounds, sharp radii estimates, extreme points and the subordination theorem for this family, we settle down the Silverman's
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24

Noor, Khalida Inayat, Nasir Khan, Muhammad Arif, and Janusz Sokół. "On some subclasses k-uniformly Janowski starlike and convex functions associated with t-symmetric points." Hacettepe Journal of Mathematics and Statistics, December 31, 2019, 1–11. http://dx.doi.org/10.15672/hujms.588741.

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