On certain classes of p-Valent functions by using complex-order and differential subordination.

Citation

Kilicman, Adem and Tehranchi, Abdolreza (2010) On certain classes of p-Valent functions by using complex-order and differential subordination. International Journal of Mathematics and Mathematical Sciences, 2010. pp. 1-12. ISSN 0161-1712

Abstract

The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1155/2010/275935
Publisher:	Hindawi Publishing Corporation
Keywords:	p-valent functions; Differential subordination; Analytical functions.
Depositing User:	Najwani Amir Sariffudin
Date Deposited:	16 Oct 2013 04:03
Last Modified:	22 Sep 2015 08:24
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2010/275935
URI:	http://psasir.upm.edu.my/id/eprint/15892
Statistic Details:	View Download Statistic

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