In this paper, we show that a closed-form formula for the generalized Clebsch–Gordan integral and the Fourier–Legendre expansion theory allow to evaluate hypergeometric series involving powers of the normalized central binomial coefficient 14n(2nn).
A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series / Cantarini, M.. - In: RAMANUJAN JOURNAL. - ISSN 1382-4090. - (2021). [10.1007/s11139-021-00496-7]
A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series
Cantarini M.
2021-01-01
Abstract
In this paper, we show that a closed-form formula for the generalized Clebsch–Gordan integral and the Fourier–Legendre expansion theory allow to evaluate hypergeometric series involving powers of the normalized central binomial coefficient 14n(2nn).File in questo prodotto:
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