Abel-Rothe type generalizations of Jacobi's triple product identity

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dc.creatorSchlosser, Michael J.
dc.date2003-02-24
dc.date2003-06-16
dc.date.accessioned2026-07-07T06:31:20Z
dc.date.available2026-07-07T06:31:20Z
dc.descriptionUsing a simple classical method we derive bilateral series identities from terminating ones. In particular, we show how to deduce Ramanujan's 1-psi-1 summation from the q-Pfaff-Saalschuetz summation. Further, we apply the same method to our previous q-Abel-Rothe summation to obtain, for the first time, Abel-Rothe type generalizations of Jacobi's triple product identity. We also give some results for multiple series.
dc.description14 pages, mistake in appendix corrected; to appear in "Theory and Applications of Special Functions, A volume dedicated to Mizan Rahman", M. E. H. Ismail and E. Koelink (eds.), Dev. Math
dc.identifierhttps://arxiv.org/abs/math/0302270
dc.identifierhttp://arxiv.org/abs/math/0302270
dc.identifierDev. Math. 13 (2005), 383-400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98575
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subject33D15 (Primary) 33D67 (Secondary)
dc.titleAbel-Rothe type generalizations of Jacobi's triple product identity
dc.typetext

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