InforLorV4, PascalFrancis, Corpus, bibRecord, 000D41

Operator calculus approach to orthogonal polynomial expansions

Identifieur interne : 000D41 ( PascalFrancis/Corpus ); précédent : 000D40; suivant : 000D42

Operator calculus approach to orthogonal polynomial expansions

Auteurs : P. Feinsilver ; R. Schott

Source :

Journal of computational and applied mathematics [ 0377-0427 ] ; 1996.

RBID : Pascal:96-0296389

Descripteurs français

Pascal (Inist)
- Polynôme, Polynôme orthogonal, Approximation polynomiale, Opérateur mathématique.

English descriptors

KwdEn :
- Mathematical operators, Orthogonal polynomial, Polynomial approximation, Polynomials.

Abstract

Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

A01	`01`	`1`		`@0 0377-0427`
A02	`01`			`@0 JCAMDI`
A03		`1`		`@0 J. comput. appl. math.`
A05				`@2 66`
A06				`@2 1-2`
A08	`01`	`1`	`ENG`	`@1 Operator calculus approach to orthogonal polynomial expansions`
A11	`01`	`1`		`@1 FEINSILVER (P.)`
A11	`02`	`1`		`@1 SCHOTT (R.)`
A12	`01`	`1`		`@1 BROECKX (F.) @9 ed.`
A12	`02`	`1`		`@1 GOOVAERTS (M. J.) @9 ed.`
A12	`03`	`1`		`@1 PIESSENS (R.) @9 ed.`
A12	`04`	`1`		`@1 WUYTACK (L.) @9 ed.`
A14	`01`			`@1 Department of Mathematics, Southern Illinois University @2 Carbondale, IL 62901 @3 USA @Z 1 aut.`
A14	`02`			`@1 CRIN, Université de Nancy I, B.P. 239 @2 54506 Vandoeuvre-lès-Nancy @3 FRA @Z 2 aut.`
A15	`01`			`@1 Rijsuniversitair Centrum Antwerpen @2 Antwerpen @3 NLD @Z 1 aut.`
A20				`@1 185-199`
A21				`@1 1996`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 16270 @5 354000043376980140`
A44				`@0 0000 @1 © 1996 INIST-CNRS. All rights reserved.`
A45				`@0 8 ref.`
A47	`01`	`1`		`@0 96-0296389`
A60				`@1 P @2 C`
A61				`@0 A`
A64	`01`	`1`		`@0 Journal of computational and applied mathematics`
A66	`01`			`@0 NLD`
C01	`01`		`ENG`	`@0 Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.`
C02	`01`	`X`		`@0 001A02E06`
C02	`02`	`X`		`@0 001A02E17`
C03	`01`	`1`	`FRE`	`@0 Polynôme @3 P @5 01`
C03	`01`	`1`	`ENG`	`@0 Polynomials @3 P @5 01`
C03	`02`	`X`	`FRE`	`@0 Polynôme orthogonal @5 37`
C03	`02`	`X`	`ENG`	`@0 Orthogonal polynomial @5 37`
C03	`02`	`X`	`SPA`	`@0 Polinomio ortogonal @5 37`
C03	`03`	`X`	`FRE`	`@0 Approximation polynomiale @5 38`
C03	`03`	`X`	`ENG`	`@0 Polynomial approximation @5 38`
C03	`03`	`X`	`SPA`	`@0 Aproximación polinomial @5 38`
C03	`04`	`1`	`FRE`	`@0 Opérateur mathématique @5 39`
C03	`04`	`1`	`ENG`	`@0 Mathematical operators @5 39`
N21				`@1 204`

A30	`01`	`1`	`ENG`	`@1 International Congress on Computational and Applied Mathematics @2 6 @3 Leuven BEL @4 1994-07-26`

Format Inist (serveur)

NO :	PASCAL 96-0296389 INIST
ET :	Operator calculus approach to orthogonal polynomial expansions
AU :	FEINSILVER (P.); SCHOTT (R.); BROECKX (F.); GOOVAERTS (M. J.); PIESSENS (R.); WUYTACK (L.)
AF :	Department of Mathematics, Southern Illinois University/Carbondale, IL 62901/Etats-Unis (1 aut.); CRIN, Université de Nancy I, B.P. 239/54506 Vandoeuvre-lès-Nancy/France (2 aut.); Rijsuniversitair Centrum Antwerpen/Antwerpen/Pays-Bas (1 aut.)
DT :	Publication en série; Congrès; Niveau analytique
SO :	Journal of computational and applied mathematics; ISSN 0377-0427; Coden JCAMDI; Pays-Bas; Da. 1996; Vol. 66; No. 1-2; Pp. 185-199; Bibl. 8 ref.
LA :	Anglais
EA :	Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.
CC :	001A02E06; 001A02E17
FD :	Polynôme; Polynôme orthogonal; Approximation polynomiale; Opérateur mathématique
ED :	Polynomials; Orthogonal polynomial; Polynomial approximation; Mathematical operators
SD :	Polinomio ortogonal; Aproximación polinomial
LO :	INIST-16270.354000043376980140
ID :	96-0296389

Links to Exploration step

Pascal:96-0296389

Le document en format XML

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<ET>Operator calculus approach to orthogonal polynomial expansions</ET>
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Operator calculus approach to orthogonal polynomial expansions

Operator calculus approach to orthogonal polynomial expansions

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri