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q-Classical Orthogonal Polynomials: A General Difference Calculus Approach

✍ Scribed by R. S. Costas-Santos; F. Marcellán

Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
517 KB
Volume
111
Category
Article
ISSN
0167-8019

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We derive the fourth-order q-difference equation satisfied by the first associated of the q-classical orthogonal polynomials. The coefficients of this equation are given in terms of the polynomials tr and z which appear in the q-Pearson difference equation Dq(tr p)= zp defining the weight p of the q

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We derive the fourth-order difference equation satisfied by the associated order r of classical orthogonal polynomials of a discrete variable. The coefficients of this equation are given in terms of the polynomials a and z which appear in the discrete Pearson equation A(ap)= zp defining the weight