A unified class of analytic functions involving a generalization of the Srivastava–Attiya operator

H.M. Srivastava, S. Gaboury and F. Ghanim

Applied Mathematics and Computation, 2015, vol. 251, issue C, 35-45

Abstract: In this paper, we present a unified class of analytic functions defined by a new convolution operator J(λp),(μq),bs,a,λ introduced recently by Srivastava and Gaboury (2014) which generalizes the well-known Srivastava–Attiya operator investigated by Srivastava and Attiya (2007). We derive coefficient inequalities, growth and distortion theorems, extreme points and Fekete–Szegö problem for this new function class.

Keywords: Analytic functions; Starlike functions; Convex functions; Generalized Hurwitz–Lerch zeta function; Srivastava–Gaboury operator; Srivastava–Attiya operator (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:35-45

DOI: 10.1016/j.amc.2014.11.049

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