Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We show how asymptotic representations can be derived by using the generating functions of the polynomials. For example, we discuss the asymptotic representation of the Meixner-Pollaczek, Jacobi, Meixner, and Krawtchouk polynomials in terms of Laguerre polynomials
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NW...
This is a second paper on finite exact representations of certain polynomials in terms of Hermite po...
It is well known that some orthogonal polynomials can be expressed in terms of Hermite polynomials t...
AbstractMany limits are known for hypergeometric orthogonal polynomials that occur in the Askey sche...
AbstractIt has been recently pointed out that several orthogonal polynomials of the Askey table admi...
Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We s...
AbstractIt has been recently pointed out that several orthogonal polynomials of the Askey table admi...
Hermite polynomials are considered as approximants in asymptotic representations of certain other po...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractThe object of this paper is to prove combinatorially several (13 of them) limit formulas rel...
Several orthogonal polynomials have limit forms in which Hermite polynomials show up. Examples are l...
AbstractThe object of this paper is to prove combinatorially several (13 of them) limit formulas rel...
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1 we give th...
It is well known that some orthogonal polynomials can be expressed in terms of Hermite polynomials t...
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NW...
This is a second paper on finite exact representations of certain polynomials in terms of Hermite po...
It is well known that some orthogonal polynomials can be expressed in terms of Hermite polynomials t...
AbstractMany limits are known for hypergeometric orthogonal polynomials that occur in the Askey sche...
AbstractIt has been recently pointed out that several orthogonal polynomials of the Askey table admi...
Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We s...
AbstractIt has been recently pointed out that several orthogonal polynomials of the Askey table admi...
Hermite polynomials are considered as approximants in asymptotic representations of certain other po...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractIt has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeom...
AbstractThe object of this paper is to prove combinatorially several (13 of them) limit formulas rel...
Several orthogonal polynomials have limit forms in which Hermite polynomials show up. Examples are l...
AbstractThe object of this paper is to prove combinatorially several (13 of them) limit formulas rel...
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1 we give th...
It is well known that some orthogonal polynomials can be expressed in terms of Hermite polynomials t...
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NW...
This is a second paper on finite exact representations of certain polynomials in terms of Hermite po...
It is well known that some orthogonal polynomials can be expressed in terms of Hermite polynomials t...