Some decomposition formulas of generalized hypergeometric functions and formulas of an analytic continuation of the Clausen function

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dc.creatorHasanov, A.
dc.date2008-10-15
dc.date.accessioned2026-07-07T10:10:20Z
dc.date.available2026-07-07T10:10:20Z
dc.descriptionIn this paper, using similar symbolical method of Burchnall and Chaundy formulas of expansion for the generalized hypergeometric function were constructed. By means of the found formulas of expansion the formulas of an analytic continuation for hypergeometric function of Clausen is defined. The obtained formulas of an analytic continuation express known hypergeometric Appell function $ F_2 ({a;b_1, b_2 ;c_1, c_2 ;x,y}) $ which theory is well studied.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0810.2636
dc.identifierhttp://arxiv.org/abs/0810.2636
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171576
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject33C20
dc.titleSome decomposition formulas of generalized hypergeometric functions and formulas of an analytic continuation of the Clausen function
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