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|Author(s):||Howard S. Cohl; Connor M. MacKenzie;|
|Title:||Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals|
|Published:||April 30, 2013|
|Abstract:||We generalize generating functions for hypergeometric orthogonal polynomials, namely Jacobi, Gegenbauer, Laguerre, and Wilson polynomials. These generalizations of generating functions are accomplished through series rearrangement using connection relations with one free parameter for these orthogonal polynomials. We also use orthogonality relations to determine corresponding definite integrals.|
|Citation:||Journal of Mathematical Analysis and Applications|
|Pages:||pp. 211 - 225|
|Keywords:||Orthogonal polynomials, Generating functions, Connection coefficients, Generalized hypergeometric functions, Eigenfunction expansions, Definite integrals|
|DOI:||http://dx.doi.org/10.1016/j.jmaa.2013.04.067 (Note: May link to a non-U.S. Government webpage)|
|PDF version:||Click here to retrieve PDF version of paper (448KB)|