On the maximum value of a confluent hypergeometric function

Bujar Xh. Fejzullahu

doi:10.5802/crmath.256

Harmonic analysis

On the maximum value of a confluent hypergeometric function

Bujar Xh. Fejzullahu ¹

¹ Departament of Mathematics, University of Prishtina, Mother Teresa 5, 10000 Prishtinë, Kosovo

Comptes Rendus. Mathématique, Volume 359 (2021) no. 10, pp. 1217-1224.

Abstract

We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. As a consequence, we obtain new inequalities for the Gauss hypergeometric function.

Received: 2021-06-02
Accepted: 2021-08-08
Published online: 2022-01-04

DOI: 10.5802/crmath.256

Classification: 33C15, 33C20

Author's affiliations:

Bujar Xh. Fejzullahu ¹

¹ Departament of Mathematics, University of Prishtina, Mother Teresa 5, 10000 Prishtinë, Kosovo

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Bujar Xh. Fejzullahu},
     title = {On the maximum value of a confluent hypergeometric function},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1217--1224},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {10},
     year = {2021},
     doi = {10.5802/crmath.256},
     language = {en},
}

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Bujar Xh. Fejzullahu. On the maximum value of a confluent hypergeometric function. Comptes Rendus. Mathématique, Volume 359 (2021) no. 10, pp. 1217-1224. doi : 10.5802/crmath.256. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.256/

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