Two-index multidimensional Gegenbauer polynomials and their integral representations
The authors make use of a recently introduced integral representation of multivariable Chebyshev polynomials in order to derive a number of new results concerning, among other things, addition and duplication theorems for some families of two-index multidimensional Gegenbauer (or ultraspherical) polynomials. (C) 2003 Elsevier Science Ltd. All rights reserved.
gegenbauer (or ultraspherical) polynomials multidimensional polynomials bessel functions hermite-kampe de feriet (hkdf) polynomials addition and multiplication theorems free electron lasers