Addition Theorems Via Continued Fractions

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dc.creatorIsmail, Mourad E. H.
dc.creatorZeng, Jiang
dc.date2007-12-23
dc.date.accessioned2026-07-07T08:51:09Z
dc.date.available2026-07-07T08:51:09Z
dc.descriptionWe show connections between a special type of addition formulas and a theorem of Stieltjes and Rogers. We use different techniques to derive the desirable addition formulas. We apply our approach to derive special addition theorems for Bessel functions and confluent hypergeometric functions. We also derive several additions theorems for basic hypergeometric functions. Applications to the evaluation of Hankel determinants are also given .
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/0712.3902
dc.identifierhttp://arxiv.org/abs/0712.3902
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144840
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subject33D15, 33 C15, 30E05. 05A15
dc.titleAddition Theorems Via Continued Fractions
dc.typetext

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