Recursive and Explicit Formulas for Expansion and Connection Coefficients in Series of Classical Orthogonal Polynomial Products

Authors

H. M. Ahmed Department of Mathematics, Faculty of Technology and Education, Helwan University, Cairo, Egypt https://orcid.org/0000-0002-5643-8357
Y. H. Youssri Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt https://orcid.org/0000-0003-0403-8797
W. M. Abd-Elhameed Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt https://orcid.org/0000-0002-6102-671X

DOI:

https://doi.org/10.37256/cm.5420244990

Keywords:

orthogonal polynomials, connection and linearization coefficients, moments formulas, generalized hypergeometric functions

Abstract

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Published

2024-11-06

How to Cite

Ahmed HM, Youssri YH, Abd-Elhameed WM. Recursive and Explicit Formulas for Expansion and Connection Coefficients in Series of Classical Orthogonal Polynomial Products. Contemp. Math. [Internet]. 2024 Nov. 6 [cited 2026 Feb. 8];5(4):4836-73. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/4990

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Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.