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math.CA2016★ 3 cited
Asymptotic formulae of two divergent bilateral basic hypergeometric series
Hironori Mori, Takeshi Morita
We provide new formulae for the degenerations of the bilateral basic hypergeometric function with using the -Borel-Laplace transformation. These are tho…
math.CA2016
Summation formulae for the bilateral basic hypergeometric series
Hironori Mori, Takeshi Morita
We give summation formulae for the bilateral basic hypergeometric series through Ramanujan's summation formula, which are generalizations of nontrivial iden…