A Remark on Certain Differential Inequalities Involving $p$-Valent Functions

Authors

  • Sukhwinder Singh Billing

DOI:

https://doi.org/10.4208/ata.2012.v28.n1.7

Keywords:

$p$-valent function, uniformly starlike function, uniformly convex function, uniformly close-to-convex function.

Abstract

In the present paper, we study certain differential inequalities involving $p$-valent functions and obtain sufficient conditions for uniformly $p$-valent starlikeness and uniformly $p$-valent convexity. We also offer a correct version of some known criteria for uniformly $p$-valent starlike and uniformly $p$-valent convex functions.

Published

2012-03-01

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Section

Articles

How to Cite

A Remark on Certain Differential Inequalities Involving $p$-Valent Functions. (2012). Analysis in Theory and Applications, 28(1), 58-64. https://doi.org/10.4208/ata.2012.v28.n1.7