Sharp Coefficient Bounds for a Class of Analytic Functions Related to Exponential Function

In this paper, we introduce a new class of analytic functions, denoted by S(ν,φϑ,e), and provide illustrative examples to elucidate its properties. This class generalizes the starlike and convex functions previously defined by Khatter et al. in relation to the exponential function. A significant contribution of this work is the derivation of sharp bounds for various coefficient-related problems within this class. The computational challenges involved in deriving these bounds were effectively addressed using MathematicaTM codes. Additionally, figures illustrating the geometric properties and essential computations have been incorporated into the paper.

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Publication Details

Journal
Mathematics
Published
2025-12-03
DOI
https://doi.org/10.3390/math13233878
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

Sharp Coefficient Bounds for a Class of Analytic Functions Related to Exponential Function

Mathematics
Analytic and geometric function theory
article

Sharp Coefficient Bounds for a Class of Analytic Functions Related to Exponential Function

article en

Abstract

In this paper, we introduce a new class of analytic functions, denoted by S(ν,φϑ,e), and provide illustrative examples to elucidate its properties. This class generalizes the starlike and convex functions previously defined by Khatter et al. in relation to the exponential function. A significant contribution of this work is the derivation of sharp bounds for various coefficient-related problems within this class. The computational challenges involved in deriving these bounds were effectively addressed using MathematicaTM codes. Additionally, figures illustrating the geometric properties and essential computations have been incorporated into the paper.

MathematicsVol. 13(23)
Bursa Uludağ Üni̇versi̇tesi̇ (TR), University of Al-Qadisiyah (IQ)
Openalex Percentile: Top 29%
Analytic and geometric function theory
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