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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Certain meromorphic functions with the convolution operator

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pp. 945–951Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-2073XML
Received:
09 Oct 2024
Published Online:
08 May 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2073
Pages:
945–951

Abstract

We introduce and study a subclass of positive coefficient meromorphic univalent functions defined by a new operator Ψμβ,xk(s). We obtain partial sums, coefficient estimates, convolution properties, closure theorems, and δ-neighborhood for the class  Mμβ,x (μ,β,x,L,Y,d). We derive sufficient and necessary conditions for a function k(s) for the class Mμβ,x (μ,β,x,L,Y,d). A function k(s) is given a δ-neighborhood, and a correspondence is found between the Mμβ,x (μ,β,x,L,Y,d,ρ) class of functions and that δ-neighborhood. 

Keywords

Subject Classifications

30C45

References

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