On starlikeness of regular Coulomb wave functions

DOI10.1090/proc/16180OpenAlexW4283318336MaRDI QIDQ5889215

Pranav Kumar, Árpád Baricz, Sanjeev Singh

Publication date: 19 April 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16180

zbMATH Keywords

starlikenesscontinued fractionCoulomb wave functions\(J\)-fraction

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Continued fractions and generalizations (11J70) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Uses Software

• DLMF

Cites Work

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• Univalence of Bessel Functions
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• Univalence and convexity properties for confluent hypergeometric functions
• Univalent Solutions of W″ + pW = 0
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• A general continued fraction expansion
• [https://portal.mardi4nfdi.de/wiki/Publication:5830786 Schlicht Solutions of W � � + pW = 0]
• Univalence and convexity properties for Gaussian hypergeometric functions

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