ON GENERATING FUNCTIONS OF BIORTHOGONAL POLYNOMIALS SUGGESTED BY LAGUERRE POLYNOMIALS (original) (raw)
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The polynomial sets {Y"(x; k)} and { Z"(x; &)}, discussed by Joseph D. E. Konhauser, are biorthogonal over the interval (0, oo) with respect to the weight function x a e~x, where a >-1 and A: is a positive integer. The object of the present note is to develop a fairly elementary method of proving a general multilinear generating function which, upon suitable specializations, yields a number of interesting results including, for example, a multivariable hypergeometric generating function for the multiple sum: involving the Konhauser biorthogonal polynomials;
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