Expansions over Legendre polynomials and infinite double series identities

Author:

Chu Wenchang,Campbell John M.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference21 articles.

1. Askey, R., Wilson, J.: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Mem. Am. Math. Soc. 54, 319 (1985)

2. Bailey, W.N.: Generalized Hypergeometric Series. Cambridge University Press, Cambridge (1935)

3. Campbell, J.M.: Ramanujan-like series for $$\frac{1}{\pi }$$ involving harmonic numbers. Ramanujan J. 46, 373–387 (2018)

4. Campbell, J.M.: New families of double hypergeometric series for constants involving $$\frac{1}{\pi ^2}$$. Ann. Polon. Math. 126, 1–20 (2021)

5. Campbell, J.M., Chu, W.: Double series transforms derived from Fourier-Legendre theory. Commun. Korean Math. Soc. 37, 551–566 (2022)

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1. On a higher-order version of a formula due to Ramanujan;Integral Transforms and Special Functions;2024-02

2. New Clebsch–Gordan‐type integrals involving threefold products of complete elliptic integrals;Mathematical Methods in the Applied Sciences;2023-07-08

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