A new subclass of analytic functions involving Pascal distribution series

Document Type : Research Paper


1 Department of Mathematics, GSS, GITAM University, Doddaballapur-562 163, Bengaluru Rural, Karnataka, India

2 Department of Mathematics, Kakatiya Univeristy, Warangal-506 009, Telangana, India


In this work, we introduce and investigate a new class $ k- \widetilde{ U}ST_s (q , m , \gamma, \varsigma )$ of analytic functions in the open unit disc $U$ with negative coefficients. The aim of this study is to determine coefficient estimates, neighborhoods and partial sums for functions $u$ belonging to this class.