Volume no :9, Issue no: 1, -2 May and June 2011

Journal of Mathematical Sciences: Advances and Applications

ON SUBCLASSES OF P-VALENT FUNCTIONS INVOLVING CERTAIN FRACTIONAL DERIVATIVE OPERATOR

Author's: SOMIA MUFTAH AMSHERI and VALENTINA ZHARKOVA
Pages: [49] - [62]
Received Date: Received June 23, 2011
Submitted by:

Abstract

In the present paper, we derive some subordination and superordination results for p-valent functions in the open unit disk, involving certain fractional derivative operator. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Keywords

p-valent function, differential subordination, differential superordination, Hadamard product, fractional derivative operators.