## Generating Functions of Jacobi and Related Polynomials |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

II Ultraspherical polynomials | 16 |

10 Two tranaformations on the generating function | 22 |

Hermite and Laguerre polynomials | 38 |

2 other sections not shown

### Common terms and phrases

2uxt absolutely convergent Alternate forms Appell polynomials arbitrary parameter Bessel function CHAPTER coefficients column of Table complex plane contour integral convergence definition derivation direct summation directly easily equation C2 equation of Section excess factorial functions Feldheim finding generating function finite set function equations hand side becomes Hence Hermite and Laguerre Hermite and ultraspherical Hermite polynomials hypergeometric hypergeometric functions iterated Jacobi polynomials k=o n=o known generating function Laguerre polynomials Laplace transform left hand side Legendre polynomials Magnus miscellaneous results n=c n n=o k=o n=o n oo n=o oo nomials non-positive integer noted obtained oc I n=o omitting the parameter p+2 q paper polynomial set reduces reduction formula relations representation right hand column right hand side Section 9 sults Szegb Szego 12 tion tn n=o ultraspherical polynomials ultraspherical set Watson's formula written