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- W1988099056 abstract "In the present paper, we have established the following relation involving Kampe de Ferietâs double hypergeometric function of superior order [ Fleft [ {begin {array}{*{20}{c}} p 1 q 0 end {array} left | {begin {array}{*{20}{c}} {{a_1}, cdots ,{a_p}} {b, - bâ} {{c_1}, cdots ,{c_q}} cdots end {array} } right | - xy, - y} right ] = sum limits _{n = 0}^infty {frac {{prod limits _{j = 1}^p {{{({a_j})}_n}} }}{{prod limits _{j = 1}^q {{{({b_j})}_n}} }}frac {{{{( - 1)}^n}{{( - bâ)}_n}}}{{n!}}{;_2}{F_1}left [ {begin {array}{*{20}{c}} { - n,b;} {1 + bâ - n;} end {array} x} right ]{y^n},} ] which yields a number of interesting generating formulae for Jacobi and related polynomials. A large number of special cases have been also discussed." @default.
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- W1988099056 date "1972-01-01" @default.
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- W1988099056 title "Generating functions for Jacobi and related polynomials" @default.
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- W1988099056 doi "https://doi.org/10.1090/s0002-9939-1972-0348161-x" @default.
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