| Title:
|
The quantized Jacobi polynomials (English) |
| Author:
|
Lukš, Antonín |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
32 |
| Issue:
|
6 |
| Year:
|
1987 |
| Pages:
|
417-426 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials. (English) |
| Keyword:
|
Clebsch-Gordan coefficients |
| Keyword:
|
weight approximating |
| Keyword:
|
Jacobi polynomials |
| Keyword:
|
orthogonal polynomials |
| Keyword:
|
curve fitting |
| MSC:
|
33A65 |
| MSC:
|
33C45 |
| MSC:
|
42C05 |
| MSC:
|
65D10 |
| MSC:
|
65D20 |
| idZBL:
|
Zbl 0644.33018 |
| idMR:
|
MR0916058 |
| DOI:
|
10.21136/AM.1987.104273 |
| . |
| Date available:
|
2008-05-20T18:33:17Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104273 |
| . |
| Reference:
|
[1] N. Y. Vilenkin: Special Functions and Representation Theory of Groups.Nauka, Moscow 1965. (In Russian; English translation: Amer. Math. Soc., Providence 1968.) |
| Reference:
|
[2] A. S. Holevo: Probabilistic and Statistical Aspects of Quantum Theory.North Holland, Amsterdam 1982. Zbl 0497.46053, MR 0681693 |
| Reference:
|
[3] H. Bateman A. Erdélyi: Higher Transcendental Functions.Vol. 2. McGraw-Hill. New York 1953. MR 0058756 |
| Reference:
|
[4] M. Weber A. Erdélyi: On the finite difference analogue of Rodrigues' formula.Amer. Math. Monthly, Washington, 59 (1952), 163-168. MR 0054094, 10.1080/00029890.1952.11988094 |
| Reference:
|
[5] Radhakrishna C. Rao: Linear Statistical Inference and Its Applications.J. Wiley, New York 1973. MR 0346957 |
| Reference:
|
[6] A. Ralston: A First Course in Numerical Analysis.McGraw-Нill, New York 1965. Zbl 0139.31603 |
| Reference:
|
[7] B. P. Demidovich I. A. Maron E. Z. Shuvalova: Numerical Methods of Analysis. Approximation of Functions, Differential and Integral Equations.Nauka, Moscow 1967 (in Russian). |
| . |
