Applications and $q$-Extensions of Hypergeometric Functions

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470476540

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Edited by Howard S. Cohl, Roberto S. Costas-Santos, Robert S. Maier
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AMERICAN MATHEMATICAL SOCIETY
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PAPERBACK
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254 x 178 mm
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Pages:
314

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Howard S. Cohl, National Institute of Standards and Technology, Gaithersburg, MD, Roberto S. Costas-Santos, Universidad Loyola Andalucia, Sevilla, Spain, and Robert S. Maier, University of Arizona, Tucson, AZ

Howard S. Cohl, Roberto S. Costas-Santos, and Robert S. Maier, Applications Jan Derezinski, Christian Gas, and Blazej Ruba, Generalized integrals of Macdonald and Gegenbauer functions Lina Ellis, Ikumi Ellis, Christoph Koutschan, and Sergei K. Suslov, On potentials integrated by the Nikoforov-Uvarov method Jeongsu Kyeong, Irina Mitrea, and Katharine Ott, On the Mellin symbol of singular integral operators associated with the biharmonic equation in infinite sectors Norman Lebovitz, Gravitational potentials of ellipsoidal masses Iswarya Sitiraju, Spherical distributions on the de Sitter space and their spectral singularities Howard S. Cohl, Roberto S. Costas-Santos, and Robert S. Maier, $q$-extensions George E. Andrews, The surprising first $q$-Appell function Gaurav Bhatnagar, Ramanujan's $q$-continued fractions Howard S. Cohl and Roberto S. Costas-Santos, Orthogonality of the big $-1$ Jacobi polynomials for non-standard parameters N. Hoshi, M. Katori, T. H. Koornwinder, and M. J. Schlosser, On an identity of Chaundy and Bullard. III. Basic and elliptic extensions Timothy Huber, James Mc Laughlin, and Dongxi Ye, Generalizations of some $q$-product identities of Ramanujan and others Luis Verde-Star, Discrete orthogonality of the polynomial sequences in the $q$-Askey scheme Jianan Xu, Ying Zhang, and Xinrong Ma, A new three-term relation for an indefinite sum of a very well poised basic hypergeometric series

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