A certain subclass of meromorphic functions with positive coefficients associated with Hurwitz-Lerch zeta function

Bolineni Venkateswarlu; P. Thirupathi Reddy; S Sridevi; S Sujatha

Bolineni Venkateswarlu GITAM University
P. Thirupathi Reddy Kakatiya Univeristy
S Sridevi GSS, GITAM University, Doddaballapur- 562 163, Bengaluru Rural, Karnataka, India
S Sujatha Department of Mathematics, GST, GITAM University, doddaballapura, Nagadevanahalli, NH-207

Abstract

The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a HurwitzLerch zeta function and obtain coefficient inequality, convex linear
combinations, extreme point, radii of close-to-convexity, star likeness, convexity, Hadamard product and integral transforms for the functions f in this class.