A subclass of strongly close-to-convex functions associated with generalized Janowski functions

In this paper, we introduce a new subclass of strongly close-toconvex functions by associating to generalized Janowski functions. We establish coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity for this class. The results established here will generalizes various earlier known results.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-03-24
DOI
https://doi.org/10.5269/bspm.66940
Primary Topic
Analytic and geometric function theory
Type
article
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article

A subclass of strongly close-to-convex functions associated with generalized Janowski functions

Gurcharanjit Singh, Gagandeep Singh
Boletim da Sociedade Paranaense de Matemática
Analytic and geometric function theory
article

A subclass of strongly close-to-convex functions associated with generalized Janowski functions

Gurcharanjit Singh, Gagandeep Singh
article en

Abstract

In this paper, we introduce a new subclass of strongly close-toconvex functions by associating to generalized Janowski functions. We establish coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity for this class. The results established here will generalizes various earlier known results.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Openalex Percentile: Top 77%
Analytic and geometric function theory
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A subclass of strongly close-to-convex functions associated with generalized Janowski functions — Gurcharanjit Singh, Gagandeep Singh · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS