Laguerre-type Bell polynomials

Laguerre-type Bell polynomials

We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite function. Incidentally, we generalize a result considered by L. Carlitz in order to obtain explicit relationships between Bessel functions and gener...

Laguerre-type exponentials and generalized Appell polynomials

General classes of two variables Appell polynomials are introduced by exploiting properties of an iterated isomorphism, related to the so called Laguerre-type exponentials. Further extensions to the multi-index and multivariable cases are mentioned. 2000 Mathematics Subject Classification. 33C45, 33C99, 30D05, 33B10.

Laguerre and Jacobi polynomials

We present results on co-recursive associated Laguerre and Jacobi polynomials which are of interest for the solution of the Chapman-Kolmogorov equations of some birth and death processes with or without absorption. Explicit forms, generating functions, and absolutely continuous part of the spectral measures are given. We derive fourth-order differential equations satisfied by the polynomials wi...

Monotonicity of zeros of Laguerre–Sobolev-type orthogonal polynomials

Article history: Received 15 December 2008 Available online 3 March 2010 Submitted by D. Waterman

Some Properties of Orthogonal Polynomials for Laguerre-Type Weights