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- W4313304701 abstract "Through an application of a remarkable result due to Mishev in 2018 concerning the inverses for a class of transformations of sequences of complex numbers, we obtain a very simple proof for a famous series for $frac{1}{pi}$ due to Ramanujan. We then apply Mishev's transform to provide proofs for a number of related hypergeometric identities, including a new and simplified proof for a family of series for $frac{1}{pi}$ previously obtained by Levrie via Fourier--Legendre theory. We generalize this result using Mishev's transform, so as to extend a result due to Guillera on a Ramanujan-like series involving cubed binomial coefficients and harmonic numbers." @default.
- W4313304701 created "2023-01-06" @default.
- W4313304701 creator A5066938892 @default.
- W4313304701 date "2022-12-26" @default.
- W4313304701 modified "2023-09-23" @default.
- W4313304701 title "Applications of a class of transformations of complex sequences" @default.
- W4313304701 doi "https://doi.org/10.48550/arxiv.2212.13305" @default.
- W4313304701 hasPublicationYear "2022" @default.
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