On the Asymptotics of the Tricomi–Carlitz Polynomials and Their Zero Distribution (I)
✍ Scribed by Goh, William M. Y.; Wimp, Jet
- Book ID
- 118199463
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1994
- Tongue
- English
- Weight
- 679 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0036-1410
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📜 SIMILAR VOLUMES
In this paper, we improve our previous results concerning the asymptotic distribution of the zeros of the Tricomi-Carlitz polynomials. Our approach is a probabilistic one, motivated by the fact that the central limit theorem is simply a version of the weak law of laxge numbers whose distribution is
The polynomials P, and Q,~ having degrees n and m, respectively, with P, monic, that solve the approximation problem Pn(z)e -z + Qm(z) = C(z n+m+l ) will be investigated for their asymptotic behavior, in particular in connection with the distribution of their zeros. The symbol C means that the left-