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Some characteristic property of the Meixner polynomials

✍ Scribed by Bruno Gabutti

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
464 KB
Volume
95
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

The Combinatorics of Meixner Polynomials
The Combinatorics of Meixner Polynomials: Linearization Coefficients
✍ A. de MΓ©dicis πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 202 KB

We describe various aspects of the Meixner polynomials. These include combinatorial descriptions of the moments, the orthogonality relation, and the linearization coefficients.

Asymptotic Formulas for the Zeros of the
Asymptotic Formulas for the Zeros of the Meixner Polynomials
✍ X.-S. Jin; R. Wong πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 147 KB

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