Applications of the operator $H(α,β)$ to the Humbert double hypergeometric functions

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dc.creatorHasanov, A.
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:12:06Z
dc.date.available2026-07-07T10:12:06Z
dc.descriptionBy making use of some techniques based upon certain inverse new pairs of symbolic operators, the author investigate several decomposition formulas associated with Humbert hypergeometric functions $Φ_1 $, $Φ_2 $, $Φ_3 $, $Ψ_1 $, $Ψ_2 $, $Ξ_1 $ and $Ξ_2 $. These operational representations are constructed and applied in order to derive the corresponding decomposition formulas. With the help of these inverse pairs of symbolic operators, a total 34 decomposition formulas are found. Euler type integrals, which are connected with Humbert's functions are found.
dc.description11
dc.identifierhttps://arxiv.org/abs/0810.3796
dc.identifierhttp://arxiv.org/abs/0810.3796
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172076
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject33C15
dc.titleApplications of the operator $H(α,β)$ to the Humbert double hypergeometric functions
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