Record number :
1548923
Title of article :
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
Author/Authors :
Area، نويسنده , , I. and Godoy، نويسنده , , E. and Ronveaux، نويسنده , , A. and Zarzo، نويسنده , , A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1998
Pages :
17
From page :
309
To page :
325
Abstract :
We present a simple approach in order to compute recursively the connection coefficients between two families of classical (discrete) orthogonal polynomials (Charlier, Meixner, Kravchuk, Hahn), i.e., the coefficients Cm(n) in the expression Pn(x) = ∑m=0nCm(n)Qm(x), where {Pn(x)} and {Qm(x)} belong to the aforementioned class of polynomials. This is done by adapting a general and systematic algorithm, recently developed by the authors, to the discrete classical situation. Moreover, extensions of this method allow to give new addition formulae and to estimate Cm(n)-asymptotics in limit relations between some families.
Keywords :
Orthogonal polynomials of a discrete variable , Connection problems
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
1998
Link To Document :
بازگشت