Symmetric and Asymmetric Double Series via Expansions over Legendre Polynomials

By examining Fourier–Legendre series pairs F(y) and G(y), fifteen classes of symmetric and asymmetric bivariate series will systematically be investigated. A compendium of 360 remarkable summation formulae will be established. They may serve as a complementary work to the paper by Chu and Campbell (...

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Bibliographic Details
Published inAxioms Vol. 14; no. 4; p. 287
Main Authors Bai, Mei, Chu, Wenchang
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 11.04.2025
Subjects
Analysis
Asymmetry
Bivariate analysis
Fourier series
Fourier–Legendre series
gamma function
hypergeometric series
Legendre polynomial
Polynomials
product integration
Series
symmetric double series
Symmetry
China
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Summary:By examining Fourier–Legendre series pairs F(y) and G(y), fifteen classes of symmetric and asymmetric bivariate series will systematically be investigated. A compendium of 360 remarkable summation formulae will be established. They may serve as a complementary work to the paper by Chu and Campbell (The Ramanujan Journal (2023)).
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms14040287