Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function. Estimates for the initial coefficients and Fekete–Szegő inequalities of the defined function classes are determined. Moreover, special cases of the classes have been discussed and stated as corollaries, which have not been discussed previously.

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Publication Details

Journal
Mathematics
Published
2025-05-14
DOI
https://doi.org/10.3390/math13101606
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

G. Murugusundaramoorthy, G. Thirupathi, Kadhavoor R. Karthikeyan, Daniel Breaz
Mathematics
Analytic and geometric function theory
article

Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

G. Murugusundaramoorthy, G. Thirupathi, Kadhavoor R. Karthikeyan, Daniel Breaz
article en

Abstract

Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function. Estimates for the initial coefficients and Fekete–Szegő inequalities of the defined function classes are determined. Moreover, special cases of the classes have been discussed and stated as corollaries, which have not been discussed previously.

MathematicsVol. 13(10)
Caledonian College of Engineering (OM), 1 Decembrie 1918 University (RO), Vellore Institute of Technology University (IN)
Openalex Percentile: Top 85%
Analytic and geometric function theory
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