On Certain Subclasses of Meromorphic Functions with Positive Coefficients involving Generalized Liu-Srivastava Operator

N B Gatti; N Magesh; J Jothibasu; S Murthy

doi:10.56424/jts.v6i01.10447

N B Gatti PG Studies in Mathematics, Govt Science College,Chitradurga - 577501, Karnataka, India
N Magesh PG and Research Department of Mathematics,Government Arts College (Men) Krishnagiri - 635001, Tamilnadu, India
J Jothibasu PG and Research Department of Mathematics,Government Arts College (Men) Krishnagiri - 635001, Tamilnadu, India
S Murthy PG and Research Department of Mathematics,Government Arts College (Men) Krishnagiri - 635001, Tamilnadu, India

DOI: https://doi.org/10.56424/jts.v6i01.10447

Keywords: Meromorphic functions, Hadamard product (or convolution), meromorphic starlike functions, meromorphic convex functions, Liu-Srivastava operator.

Abstract

In this paper, making use of the generalized Liu-Srivastava operator, we introduce and study a new subclass ΣP ( α;β; ; λ; k) of meromorphically univalent functions. We obtain the coefficient estimates, distortion bounds, extreme points, radii of meromorphically starlikeness and convexity for functions in the class ΣP (α;β;γ; λ, k): Furthermore we obtain the partial sums for the same.