Hans Volkmer

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math.CA2024

Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series

Howard Cohl, Hans Volkmer

In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series…

math.CA2024

Bilateral discrete and continuous orthogonality relations in the $q^{- 1}$ -symmetric Askey scheme

Howard S. Cohl, Hans Volkmer

In the $q^{- 1}$ -symmetric Askey scheme, namely the $q^{- 1}$ -Askey--Wilson, continuous dual $q^{- 1}$ -Hahn, $q^{- 1}$ -Al-Salam--Chihara, continuous big $q^{- 1}$ -Hermite and continuous…

Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series

Bilateral discrete and continuous orthogonality relations in the q−1-symmetric Askey scheme

Bilateral discrete and continuous orthogonality relations in the $q^{- 1}$ -symmetric Askey scheme