A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series
نویسندگان
چکیده
In this paper, we show that a closed-form formula for the generalized Clebsch–Gordan integral and Fourier–Legendre expansion theory allow to evaluate hypergeometric series involving powers of normalized central binomial coefficient $${\frac{1}{4^{n}}\genfrac(){0.0pt}0{2n}{n}}$$ .
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ژورنال
عنوان ژورنال: Ramanujan Journal
سال: 2021
ISSN: ['1572-9303', '1382-4090']
DOI: https://doi.org/10.1007/s11139-021-00496-7