Certain Analytic Functions Defined by Generalized Mittag-Leffler Function Associated with Conic Domain

Author:

Attiya Adel A.12ORCID,Seoudy T. M.34,Aouf M. K.2,Albalahi Abeer M.1

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt

Abstract

In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q -analogue of Mittag-Leffler function associated with conic domain. A number of coefficient estimates of the functions in these classes have been obtained. Sufficient conditions for the functions belong to these classes are also considered.

Funder

University of Hail

Publisher

Hindawi Limited

Subject

Analysis

Reference42 articles.

1. Conic regions and k-uniform convexity

2. Conic regions and k-starlike functions;S. Kanas;Revue Roumaine de Mathématiques Pures et Appliquées,2000

3. On Some Relationships of Certain K − Uniformly Analytic Functions Associated with Mittag-Leffler Function

4. Conic regions and k-uniform convexity. II, Zeszyty Nauk;S. Kanas;Politech. Rzeszowskiej Mat.,1998

5. Alternative characterization of the class k−UCV and related classes of univalent functions;S. Kanas;Serdica,1999

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