Coefficient Problems on Bi-Univalent Functions With \((p,q)\)-Gegenbauer Polynomial

In this paper, our main aim is to study a new subclass of bi-univalent functions and to obtain initial coefficient bounds of starlike and convex bi-univalent functions involving \((p,q)\)-Gegenbauer polynomials. Also, we aim at obtaining sharp bound for Fekete-Szegö functional.

Authors

Institutions

Publication Details

Journal
Communications in Mathematics and Applications
Published
2024-11-30
DOI
https://doi.org/10.26713/cma.v15i3.2742
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Coefficient Problems on Bi-Univalent Functions With \((p,q)\)-Gegenbauer Polynomial

M. Ruby Salestina, N. B. Gatti, R. Govinda Raju
Communications in Mathematics and Applications
Differential Equations and Boundary Problems
article

Coefficient Problems on Bi-Univalent Functions With \((p,q)\)-Gegenbauer Polynomial

M. Ruby Salestina, N. B. Gatti, R. Govinda Raju
article en

Abstract

In this paper, our main aim is to study a new subclass of bi-univalent functions and to obtain initial coefficient bounds of starlike and convex bi-univalent functions involving \((p,q)\)-Gegenbauer polynomials. Also, we aim at obtaining sharp bound for Fekete-Szegö functional.

Communications in Mathematics and ApplicationsVol. 15(3)
University of Mysore (IN), Government of Karnataka (IN), Visvesvaraya Technological University (IN)
Openalex Percentile: Top 52%
Differential Equations and Boundary Problems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.