Certain subclass of meromorphic functions with positive coefficients defined by new operator

Al-Saphory, Raheam A.; Maran, Ali H.; Juma, Abdul Rahman S.

doi:10.47974/JIM-1981

Open Access Research Article

Certain subclass of meromorphic functions with positive coefficients defined by new operator

^*Raheam A. Al-SaphoryCorresponding authorsaphory@tu.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesTikrit UniversitySalah Addin, IraqView full profile → , Ali H. Maranali.h.maran@st.tu.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesTikrit UniversitySalah Addin, IraqView full profile → , Abdul Rahman S. Jumaeps.abdulrahman.juma@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarAnbar, IraqView full profile →

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pp. 837–845Vol. 28Issue 3-AApril 2025DOI: 10.47974/JIM-1981XML

Received:: 08 May 2024
Published Online:: 08 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-1981
Pages:: 837–845

Abstract

This work deals with a new subclass of meromorphic functions in the case of positive coefficients.Thus, in order to rebuild a novel operator in the disc of type punctured U* = {z : z ∈ C, 0 <|z|< 1}. More precisely, various geometric characterizations are studied and demonstrated; like the regorous outcomesrelated to distortion and growth theorems, coefficient estimates, convex linear combinations, integral transforms, and radius of star likeness for the class wlρ,μ,τ(l, ɤ, ρ, μ, τ).

Keywords

Meromorphic function Convolution Convex linear combinations Distortion theorem Extreme points

Subject Classifications

Primary 93D15Secondary 93D20

References

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