Some Geometric Properties for a Class of Analytic Functions Defined by Beta Negative Binomial Distribution Series
Abstract
In the present paper, we introduce and study a subclass of analytic and univalent functions associated with Beta negative binomial distribution series which is defined in the open unit disk U. We discuss some important geometric properties of this subclass, like, coefficient estimates, extreme points and integral representation. Also, we obtain results about integral mean associated with fractional integral.
References
S. Altinkaya and S. Yalçin, Poisson distribution series for certain subclasses of starlike functions with negative coefficients, Annals of Oradea University Mathematics Fascicola 24(2) (2017), 5-8.
N. E. Cho and M. K. Aouf, Some applications of fractional calculus operators to a certain subclass of analytic functions with negative coefficients, Tr. J. Math. 20 (1996), 553-562.
S. M. El-Deeb, T. Bulboaca and J. Dziok, Pascal distribution series connected with certain subclasses of univalent functions, Kyungpook Math. J. 59(2) (2019), 301-314.
L. E. Littlewood, On inequalities in the theory of functions, Proc. London Math. Soc. 23 (1925), 481-519. https://doi.org/10.1112/plms/s2-23.1.481
W. Nazeer, Q. Mehmood, S. M. Kang and A. U. Haq, An application of Binomial distribution series on certain analytic functions, Journal of Computational Analysis and Applications 26 (2019), 11-17.
S. Porwal and M. Kumar, A unified study on starlike and convex functions associated with Poisson distribution series, Afr. Mat. 27 (2016), 10-21. https://doi.org/10.1007/s13370-016-0398-z
H. M. Srivastava and S. S. Eker, Some applications of a subordination theorem for a class of analytic functions, Appl. Math. Letters 21(4) (2002), 394-399. https://doi.org/10.1016/j.aml.2007.02.032
A. K. Wanas and N. A. Al-Ziadi, Applications of Beta negative binomial distribution series on holomorphic functions, Earthline J. Math. Sci. 6(2) (2021), 271-292. https://doi.org/10.34198/ejms.6221.271292
A. K. Wanas and J. A. Khuttar, Applications of Borel distribution series on analytic functions, Earthline J. Math. Sci. 4(1) (2020), 71-82. https://doi.org/10.34198/ejms.4120.7182
This work is licensed under a Creative Commons Attribution 4.0 International License.
.jpg){kind=logo}
