# Lommel polynomial

From Encyclopedia of Mathematics

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

or

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

#### References

[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: http://www.encyclopediaofmath.org/index.php?title=Lommel_polynomial&oldid=13245

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098