Applications‎ ~‎of $Q$-hypergeometric and Hurwitz‎-Lerch Zeta Functions on Meromorphic Functions

Abstract

‎A new subclass of meromorphic univalent functions by using the q-hypergeometric and Hurwitz-Lerch Zeta functions is defined‎. ‎Also‎, ‎by applying the generalized Liu-Srivastava operator on meromorphic functions‎, ‎some geometric properties of the new defined subclass such as coefficient estimates‎, ‎extreme points‎, ‎convexity and connected set structure are investigated‎.

Keywords

• meromorphic function‎
• ‎convolution‎
• ‎$\lambda-$generalized‎
• ‎hurwitz-lerch zeta function‎
• ‎$q$-hypergeometric function