Lommel polynomial

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The polynomial of degree in which for and any is defined by


Here is the Bessel function (cf. Bessel functions) and is the hypergeometric series. The Lommel polynomials satisfy the relations


[1] W. Magnus, F. Oberhettinger, R.P. Soni, "Formulas and theorems for the special functions of mathematical physics" , Springer (1966)
How to Cite This Entry:
Lommel polynomial. A.B. Ivanov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098