Univalence of Integral Operators Involving Mittag-Lefﬂer Functions

This paper introduces a new class T γ α,β,k (η) of analytic functions which is defined by means of a linear operator involving generalized Mittag-Leffler function H γ α,β,k (f ). The results investigated in this paper include, an inclusion relation for functions in the class T γ α,β,k (η) and also some subordination results of the linear operator H γ α,β,k (f ). Several consequences of our results are also pointed out. Mathematics Subject Classification (2010): 33E12, 30C45.

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“…Several properties of Mittag-Leffler function and generalized Mittag-Leffler function can be found e.g. in [2,3,4,6,7,8,9,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Some properties of a linear operator involving generalized Mittag-Leffler function

Frasin

Al-Hawary

Yousef

2020

Stud. Univ. Babes-Bolyai Math.

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“…There has been a growing focus on Mittag-Leffler-type functions in recent years based on the growth of possibilities for their application for probability, applied problems, statistical and distribution theory, among others. Further information about how the Mittag-Leffler functions are being utilised can be found in [12][13][14][15][16][17][18]. In most of our work related to Mittag-Leffler functions, we study the geometric properties, such as the convexity, close-to-convexity and starlikeness.…”

Section: Introductionmentioning

confidence: 99%

On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

Elhaddad

Darus

2019

Symmetry

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This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

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“…Many properties of analytic functions have been investigated by several authors(see [1][2][3][4][5][6][7][8][9][10][11]). In this paper, we derive certain geometric properties of analytic functions associated with the well-known Dziok-Srivastava operator.…”

Section: Introductionmentioning

confidence: 99%

Geometric Properties of Certain Analytic Functions Associated with the Dziok-Srivastava Operator

Yan

Liu

2019

Symmetry

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Univalence of Integral Operators Involving Mittag-Lefﬂer Functions

Cited by 40 publications

References 6 publications

Some properties of a linear operator involving generalized Mittag-Leffler function

Some properties of a linear operator involving generalized Mittag-Leffler function

On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

Geometric Properties of Certain Analytic Functions Associated with the Dziok-Srivastava Operator

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