CERTAIN SUBCLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH GENERALIZED POLYLOGARITHM FUNCTIONS

S. R. SWAMY; J. NIRMALA

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P521

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P521

CERTAIN SUBCLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH GENERALIZED POLYLOGARITHM FUNCTIONS

S. R. SWAMY, J. NIRMALA

Citation :

S. R. SWAMY, J. NIRMALA, "CERTAIN SUBCLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH GENERALIZED POLYLOGARITHM FUNCTIONS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 205-223, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P521

Abstract

In the current work, we define a subclass Gp(α, λ, μ,x) of meromorphic univalent functions with generalized polyogarithm functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity, partial sums, and integral means inequality for the class Gp(α, λ, μ,x). Further, it is shown that the class Gp(α, λ, μ,x) is closed under convex linear combination.

Keywords

Meromorphic functions, meromorphically starlike functions, meromorphically convex functions, polylogarithm functions.

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