A Class of Starlike Functions Defined by the Dziok-Srivastava Operator

Silverman, Herb; Murugusundaramoorhty, Gangadharan; Vijaya, K.

doi:10.5666/kmj.2009.49.1.095

Cited by 4 publications

(4 citation statements)

References 16 publications

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“…The class T was introduced by Silverman [1] (see also [2], [3] and [18]). It is called the For two functions f and g analytic in U , we say that the function f is subordinate to g in U , and write…”

Section: ) (12)mentioning

confidence: 99%

A new class of analytic functions defined by convolution with varying argument

Hai¹,

Tang²,

Yu³

2013

Tamkang J. Math.

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Section: ) (12)mentioning

confidence: 99%

A new class of analytic functions defined by convolution with varying argument

Hai¹,

Tang²,

Yu³

2013

Tamkang J. Math.

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“…The theory about harmonic as well as analytic [1] univalent functions for (bi or just multi-types) [2][3][4][5][6] constitutes a few about the most significant ideas associated with complex analysis. Thus, a few unique elements are described within this theory to establish novel interesting certain groups or just subclasses [7][8][9] for special functions associated to multiple operators [10][11][12][13][14] that could have maximized as well as maximized a number real problem via a certain functional relative that results via the theory of conventional functions by way of a few characteristics for complex functions [15,16].…”

Section: Introductionmentioning

confidence: 99%

Higher-Order Derivatives of Differential Subordination of Multivalent Functions

Hameed,

Al-Dulaimi,

Joshua

2023

MMEP

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The research into theory for analytic univalent as well as multivalent functions is an ancient subject for mathematics, especially in complex analysis, which has attracted a great number for scholars due to utter elegance of the its geometrical characteristics as well as numerous research opportunities. The study of univalent functions is one of most important areas of complex analysis for only one and many variables. Researchers have been interested in the traditional study of this subject since at least 1907. During this time until now many researchers in the field of complex analysis, including as Euler, Gauss, Riemann, Cauchy, and many others, have developed. Geometric function theory is a combination or interplay of geometry and analysis. The main goal of this article is to investigate the principle for dependence as well as add an additional subset for polyvalent functions with a different operator that is related to derivatives of higher order. As a result, the findings were important in terms of various geometric properties, including coefficient estimation, distortion as well as growth borders, radii for starlikeness, convexity, as well as close-to-convexity.

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“…We say that f is majorized by g in U (see [7]) and write 5) if there exists a function ϕ(z), analytic in U such that…”

Section: ]mentioning

confidence: 99%

“…The class T was introduced by Silverman [3] (see also [4], [5] and [31]). It is called the class of functions with varying argument of coefficients.…”

Section: Introductionmentioning

confidence: 99%