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

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

2008-10-15

arxiv.org/abs/0810.2632v1

Physics

Mathematical Physics

12 pages

Scientific paper

By 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.

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