The quantized Jacobi polynomials

Antonín Lukš

Aplikace matematiky (1987)

  • Volume: 32, Issue: 6, page 417-426
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Lukš, Antonín. "The quantized Jacobi polynomials." Aplikace matematiky 32.6 (1987): 417-426. <http://eudml.org/doc/15512>.

@article{Lukš1987,
abstract = {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.},
author = {Lukš, Antonín},
journal = {Aplikace matematiky},
keywords = {Clebsch-Gordan coefficients; weight approximating; Jacobi polynomials; orthogonal polynomials; curve fitting; Clebsch-Gordan coefficients; weight approximating; Jacobi polynomials},
language = {eng},
number = {6},
pages = {417-426},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The quantized Jacobi polynomials},
url = {http://eudml.org/doc/15512},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Lukš, Antonín
TI - The quantized Jacobi polynomials
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 6
SP - 417
EP - 426
AB - 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.
LA - eng
KW - Clebsch-Gordan coefficients; weight approximating; Jacobi polynomials; orthogonal polynomials; curve fitting; Clebsch-Gordan coefficients; weight approximating; Jacobi polynomials
UR - http://eudml.org/doc/15512
ER -

References

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  1. N. Y. Vilenkin, Special Functions and Representation Theory of Groups, Nauka, Moscow 1965. (In Russian; English translation: Amer. Math. Soc., Providence 1968.) (1965) Zbl0144.38003
  2. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, North Holland, Amsterdam 1982. (1982) Zbl0497.46053MR0681693
  3. H. Bateman A. Erdélyi, Higher Transcendental Functions, Vol. 2. McGraw-Hill. New York 1953. (1953) Zbl0143.29202MR0058756
  4. M. Weber A. Erdélyi, 10.2307/2308188, Amer. Math. Monthly, Washington, 59 (1952), 163-168. (1952) Zbl0046.29902MR0054094DOI10.2307/2308188
  5. Radhakrishna C. Rao, Linear Statistical Inference and Its Applications, J. Wiley, New York 1973. (1973) MR0346957
  6. A. Ralston, A First Course in Numerical Analysis, McGraw-Нill, New York 1965. (1965) Zbl0139.31603
  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). (1967) Zbl0158.33501

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