Applications of an operator $H({α,β})$ to the Lauricella multivariable hypergeometric functions

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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.descriptionBy making use of some techniques based upon certain inverse new pairs of symbolic operators, the author investigate several decomposition formulas associated with Lauricella's hypergeometric functions $F_A^{(r)}, F_B^{(r)}, F_C^{(r)}$ and $F_D^{(r)}$ in $r$ variables. In the three-variable case some of these operational representations are constructed and applied in order to derive the corresponding decomposition formulas when $r = 3$ . With the help of these new inverse pairs of symbolic operators, a total 20 decomposition formulas and integral representations are found.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0810.2632
dc.identifierhttp://arxiv.org/abs/0810.2632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171575
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject33C65
dc.titleApplications of an operator $H({α,β})$ to the Lauricella multivariable hypergeometric functions
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