Moduli difference of successive inverse coefficients for certain classes of close-to-convex functions

In this paper, we answer the questions raised in the paper [On the difference of inverse coefficients of univalent functions, Symmetry, 2020, 12(12), art. 2040, 14pp] by Sim and Thomas, and aim to verify the conjecture posed therein in certain cases. For this purpose, we investigate sharp bounds on...

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Veröffentlicht in:Ricerche di matematica Jg. 73; H. 3; S. 1385 - 1400
1. Verfasser: Kumar, Virendra
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 01.07.2024
Schlagworte:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
30C45
Inverse coefficients
Analytic functions
30C50
Moduli difference of inverse coefficients
Close-to-convex functions
ISSN:0035-5038, 1827-3491
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Zusammenfassung:In this paper, we answer the questions raised in the paper [On the difference of inverse coefficients of univalent functions, Symmetry, 2020, 12(12), art. 2040, 14pp] by Sim and Thomas, and aim to verify the conjecture posed therein in certain cases. For this purpose, we investigate sharp bounds on moduli difference of successive inverse coefficients for certain classes of close-to-convex functions.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-021-00682-1