IJPAM: Volume 92, No. 4 (2014)

NEIGHBORHOOD OF A CERTAIN FAMILY
OF MULTIVALENT FUNCTIONS WITH
NEGATIVE COEFFICIENTS

Jamal Salah
Department of Basic Sciences
College of Applied Sciences
A'Sharqiya University
Ibra, A'Sharqiya, OMAN


Abstract. By the use of the integration fractional operator introduced by authors $[11]$,we introduce and investigate two new subclasses of $p$-valently analytic functions of complex order.we obtain various results for each of these classes including coefficient inequalities and inclusion relationship involving the $(n,\delta)$-neighborhood of $p$-valenty analytic functions.

Received: February 26, 2014

AMS Subject Classification:

Key Words and Phrases: analytic functions, $p$-valent functions, coefficient inequalities, inclusion relations, neighborhood properties, $(n,\delta)$-neighborhood

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DOI: 10.12732/ijpam.v92i4.14 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 4
Pages: 591 - 597

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).