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

作者：Srivastava H M; Gaboury S^*; Ghanim F

来源：Applied Mathematics and Computation, 2015, 251: 35-45.

DOI：10.1016/j.amc.2014.11.049

• Analytic functions
• Starlike functions
• Convex functions
• Generalized Hurwitz-Lerch zeta function
• Srivastava-Gaboury operator
• Srivastava-Attiya operator

In this paper, we present a unified class of analytic functions defined by a new convolution operator J((lambda p),(mu q),b)(s,a,lambda) 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-Szeg problem for this new function class.

• 出版日期2015-1-15