Difference Equation for Modifications of Meixner Polynomials
β Scribed by R. Alvareznodarse; F. Marcellan
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 274 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
The zeros of the Meixner polynomial m n (x; ;, c) are real, distinct, and lie in (0, ). Let : n, s denote the s th zero of m n (n:; ;, c), counted from the right; and let :Γ n, s denote the sth zero of m n (n:; ;, c), counted from the left. For each fixed s, asymptotic formulas are obtained for both
has presented some invariants for difference equations and systems of difference equations of rational Ε½ . form with constant and periodic coefficients of certain period . We report that the presented invariants as well as their difference equations can be generalized.
Starting from the DΟ-Riccati difference equation satisfied by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourthorder difference equation satisfied by the associated of any integer order of orthogonal polynomials of the β-Laguerre-Hah