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23311

SUBCLASSES OF ANALYTIC FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH q􀀀MITTAG LEFFLER FUNCTION

Article

Last updated: 22 Jan 2023

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Abstract

In the literature on geometric function theory, we can nd many interesting applications of a variety of convolution
operators which are de ned by means of a number of special functions and analytic number theory. The main object of
this paper is to examine two subclasses of multivalent functions of the form  f(z) = zp +
1X k=p+1
akzk;
which are analytic in the open unit disc U. We investigate convolution properties and coecient estimates for these
subclasses.

DOI

10.21608/joems.2018.2640.1015

Keywords

Multivalent functions, Hadamard product (or convolution), subordination between analytic functions, q-derivative operator, q-analogue of Mittag Leer function

Authors

First Name

Hanaa

Last Name

Zayed

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Affiliation

Department of Mathematics, Faculty of Science, Meno a University, Shebin Elkom 32511, Egypt

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First Name

Mohamed

Last Name

Aouf

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-

Affiliation

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

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Volume

26

Article Issue

2

Related Issue

4360

Issue Date

2018-04-01

Receive Date

2018-01-14

Publish Date

2018-04-01

Page Start

278

Page End

286

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_23311.html

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https://joems.journals.ekb.eg/service?article_code=23311

Order

6

Type

Original Article

Type Code

485

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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Article

Created At

22 Jan 2023