Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials

Nangho, Maurice Kenfack

doi:10.1007/978-3-030-36744-2_3

Maurice Kenfack Nangho³

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Abstract

The aim of this work is to show how to obtain generating functions for classical orthogonal polynomials and derive their hypergeometric representations.

This work was completed with the support of the AIMS-Volkswagen Stiftung Workshop 2018.

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References

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Authors and Affiliations

University of Dschang, Department of Mathematics and Computer Science, Dschang, Cameroon
Maurice Kenfack Nangho

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Maurice Kenfack Nangho
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Correspondence to Maurice Kenfack Nangho .

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Editors and Affiliations

University of Yaoundé I, Yaoundé, Cameroon; African Institute for Mathematical Sciences, Limbe, Cameroon
Mama Foupouagnigni
Institute for Mathematics, University of Kassel, Kassel, Germany
Wolfram Koepf

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Nangho, M.K. (2020). Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials. In: Foupouagnigni, M., Koepf, W. (eds) Orthogonal Polynomials. AIMSVSW 2018. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-36744-2_3

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DOI: https://doi.org/10.1007/978-3-030-36744-2_3
Published: 12 March 2020
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-36743-5
Online ISBN: 978-3-030-36744-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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