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On the Asymptotics of the Meixner—Pollaczek Polynomials and Their Zeros

✍ Scribed by X. Li; R. Wong

Publisher
Springer
Year
2001
Tongue
English
Weight
441 KB
Volume
17
Category
Article
ISSN
0176-4276

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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 :Ä 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