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Asymptotic Formulas for the Zeros of the Meixner Polynomials

✍ Scribed by X.-S. Jin; R. Wong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
147 KB
Volume
96
Category
Article
ISSN
0021-9045

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✦ Synopsis

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 : n, s and :Γ„ n, s , as n Γ„ .

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