Algorithm 236: Bessel Functions of the First Kind

We consider polynomials which are orthogonal with respect to weight functions which are defined in terms of the modified Bessel functions I and I +1. These multiple orthogonal polynomials Pn ,c of type II were introduced earlier by the authors. The aim ...

Given a probability measure @m with infinite support on the unit circle @?D={z:|z|=1}, we consider a sequence of paraorthogonal polynomials h"n(z,@l) vanishing at z=@l where @l@?@?D is fixed. We prove that for any fixed z"0@?supp(d@m) distinct from @l, ...

Two doubly indexed families of homogeneous and isobaric polynomials in several indeterminates are considered: the (partial) exponential Bell polynomials B n , k and a new family S n , k Z X 1 , , X n - k + 1 such that X 1 - ( 2 n - 1 ) S n , k and B n , ...