Applications of the operator H(α, β) to the Humbert double hypergeometric functions
نویسندگان
چکیده
Applications of the operator H (α, β) to the Humbert double hypergeometric functions Abstract By 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 Φ1, Φ2, Φ3, Ψ1, Ψ2, Ξ1 and Ξ2. 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. MSC: primary 33C15.
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 61 شماره
صفحات -
تاریخ انتشار 2011