On a New Subclass of Multivalent Functions Defined by Hadamard Product

Waggas Galib Atshan; Ali Hussein Battor; Azhar Jawad Kadhim

doi:10.24297/jam.v10i5.1625

On a New Subclass of Multivalent Functions Defined by Hadamard Product

Authors

Waggas Galib Atshan College of Computer Science and Mathematics, University of Al-Qadisiya ,Diwaniya, Iraq
Ali Hussein Battor College of Education for Girls University of Kufa, Najaf-Iraq
Azhar Jawad Kadhim College of Education for Girls University of Kufa, Najaf-Iraq

DOI:

https://doi.org/10.24297/jam.v10i5.1625

Keywords:

MultivalentFunction, Closure theorems, neighborhood, Partial Sums, Convolution, Distortion and growth bounds.

Abstract

In this paper we introduce and study the class of multivalent functions in the open unit disk U= {Z c₁|z|<1} which are defined by the convolution (or Hadamard product). Then we give the coefficient inequality, closure theorems, neighborhoods of theclass ,partial sums, weighted mean theorem, convolution, distortion and growth bounds.

Downloads

Download data is not yet available.

Author Biographies

Waggas Galib Atshan, College of Computer Science and Mathematics, University of Al-Qadisiya ,Diwaniya, Iraq

Department of Mathematics,

Ali Hussein Battor, College of Education for Girls University of Kufa, Najaf-Iraq

Department of Mathematics

Azhar Jawad Kadhim, College of Education for Girls University of Kufa, Najaf-Iraq

Department of Mathematics

Downloads

Published

2015-05-11

How to Cite

Atshan, W. G., Battor, A. H., & Kadhim, A. J. (2015). On a New Subclass of Multivalent Functions Defined by Hadamard Product. JOURNAL OF ADVANCES IN MATHEMATICS, 10(5), 3535–3540. https://doi.org/10.24297/jam.v10i5.1625