Starlike Functions Associated with Bernoulli’s Numbers of Second Kind-Reference-Cited by-同舟云学术

Starlike Functions Associated with Bernoulli’s Numbers of Second Kind

Published:2023-08-03 Issue:8 Volume:12 Page:764
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Raza Mohsan¹^ORCID,Tariq Mehak¹,Ro Jong-Suk²³^ORCID,Tchier Fairouz⁴^ORCID,Malik Sarfraz Nawaz⁵^ORCID

Affiliation:

1. Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan

2. School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

3. Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak-gu, Seoul 06974, Republic of Korea

4. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

5. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Abstract

The aim of this paper is to introduce a class of starlike functions that are related to Bernoulli’s numbers of the second kind. Let φBS(ξ)=ξeξ−12=∑n=0∞ξnBn2n!, where the coefficients of Bn2 are Bernoulli numbers of the second kind. Then, we introduce a subclass of starlike functions 𝟊 such that ξ𝟊′(ξ)𝟊(ξ)≺φBS(ξ). We found out the coefficient bounds, several radii problems, structural formulas, and inclusion relations. We also found sharp Hankel determinant problems of this class.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/764/pdf

Reference32 articles.

1. Coen, L.E.S. (1996). Sums of Powers and the Bernoulli Numbers. [Master’s Thesis, Eastern Illinois University].

2. Convexity of some particular functions;Mocnu;Stud. Univ. Babes-Bolyai Math.,1984

3. The radius of convexity and starlikeness of a particular function;Serb;Math Montisnigri.,1996

4. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations. Monographs and Textbooks in Pure and Applied Mathematics, Dekker.

5. Li, Z., Ren, F., Yang, L., and Zhang, S. (1994). Proceeding of the Conference on Complex Analysis, International Press.

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