Applications of extremal theorem and radius equation for a class of analytic functions

Xiong, Liangpeng; Liu, Xiaoli

doi:10.1515/ms-2016-0225

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which envelope kinds of subclasses as special cases (see, e.g. [5,6,8,9,21,22,24,25,27]). If f i = z + ∞ n=2 a n,i z n ∈ A (i = 1, 2), then the Hadamard product (or convolution) of f 1 and f 2 is defined by ( f 1 * f 2 )(z) = z + ∞ n=2 a n,1 a n,2 z n , z ∈ U. where q s + 1, q, s ∈ {0, 1, 2, ...}, z ∈ U (see, e.g.…”

Section: Introductionmentioning

confidence: 99%

Bounds of coefficients for classes of analytic functions related to hypergeometric functions

Xiong

2019

Filomat

Self Cite

View full text Add to dashboard Cite

The main purpose of the present paper is to give some sharp coefficients bounds for a certain class of univalent analytic functions in unit open disk, which was defined by using principle of differential subordination and generalized hypergeometric function. As applications, we investigate the almost starlike-type functions, parabolic starlike-type functions and uniformly convex-type functions with conic domain. Our results extend some earlier works related to Ma-Minda starlike and convex functions.

show abstract