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On the asymptotic distribution of the zeros of Hermite, Laguerre, and Jonquière polynomials

✍ Scribed by Wolfgang Gawronski


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
677 KB
Volume
50
Category
Article
ISSN
0021-9045

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Asymptotic Formulas for the Zeros of the
✍ X.-S. Jin; R. Wong 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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 :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