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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Vydané v:Ricerche di matematica Ročník 73; číslo 3; s. 1385 - 1400
Hlavný autor: Kumar, Virendra
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.07.2024
Predmet:
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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Popis
Shrnutí: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