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. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lommel_polynomial&oldid=47712
Lommel polynomial. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Lommel_polynomial&oldid=47712
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article