A Subclass of Analytic Functions Involving Certain Mathieu-Type Series

In our present work, we first study certain Mathieu-type series and then define a new subclass of Pascu-type analytic functions. Also some inheriting results like the Fekete-Szegö functional, radius problems, a number of sufficient conditions and results related to partial sums are derived. Some new and known consequences of our main results are also given.

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Publication Details

Journal
Advances in Analysis and Applied Mathematics
Published
2025-12-31
DOI
https://doi.org/10.62298/advmath.29
Primary Topic
Analytic and geometric function theory
Type
article
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article

A Subclass of Analytic Functions Involving Certain Mathieu-Type Series

Sania Asif, Bilal Khan, Gangadharan Murugusundaramoorthy
Advances in Analysis and Applied Mathematics
Analytic and geometric function theory
article

A Subclass of Analytic Functions Involving Certain Mathieu-Type Series

Sania Asif, Bilal Khan, Gangadharan Murugusundaramoorthy
article en

Abstract

In our present work, we first study certain Mathieu-type series and then define a new subclass of Pascu-type analytic functions. Also some inheriting results like the Fekete-Szegö functional, radius problems, a number of sufficient conditions and results related to partial sums are derived. Some new and known consequences of our main results are also given.

Advances in Analysis and Applied Mathematics
Henan Academy of Sciences (CN), Vellore Institute of Technology University (IN)
Reduced inequalities
Openalex Percentile: Top 18%
Analytic and geometric function theory
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