Coefficient Inequalities for $p$-Valent Functions

Coefficient Inequalities for $p$-Valent Functions

Year:    2018

Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 112–126

Abstract

In the present paper, the authors introduce a new subclass of $p$-valent analytic functions with complex order defined on the open unit disk $\mathbb{U}=\{z:z∈\mathbb{C}\ \text{and}\ |z|<1\}$ and obtain coefficient inequalities for the functions in these classes. Applications of these results for the functions defined by the convolution are also obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2018.v34.n2.2

Analysis in Theory and Applications, Vol. 34 (2018), Iss. 2 : pp. 112–126

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    $p$-valent function subordination coefficient inequalities convolution.