# The quantized Jacobi polynomials

Aplikace matematiky (1987)

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

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topLukš, 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

top- 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
- A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, North Holland, Amsterdam 1982. (1982) Zbl0497.46053MR0681693
- H. Bateman A. Erdélyi, Higher Transcendental Functions, Vol. 2. McGraw-Hill. New York 1953. (1953) Zbl0143.29202MR0058756
- M. Weber A. Erdélyi, 10.2307/2308188, Amer. Math. Monthly, Washington, 59 (1952), 163-168. (1952) Zbl0046.29902MR0054094DOI10.2307/2308188
- Radhakrishna C. Rao, Linear Statistical Inference and Its Applications, J. Wiley, New York 1973. (1973) MR0346957
- A. Ralston, A First Course in Numerical Analysis, McGraw-Нill, New York 1965. (1965) Zbl0139.31603
- 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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