A new characterization of ultraspherical polynomials

R. Lasser; J. Obermaier

doi:10.1090/S0002-9939-08-09378-7

A new characterization of ultraspherical polynomials

R. Lasser
, J. Obermaier

Department of Mathematics

Helmholtz Zentrum München German Research Center for Environmental Health

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on [-1,1] via the special form of the representation of the derivatives p' _n+1(x) by pk (x), k = 0,..., n.

Original language	English
Pages (from-to)	2493-2498
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-08-09378-7
State	Published - Jul 2008

Keywords

Orthogonal polynomials
Ultraspherical polynomials

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10.1090/S0002-9939-08-09378-7

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title = "A new characterization of ultraspherical polynomials",

abstract = "We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on [-1,1] via the special form of the representation of the derivatives p' n+1(x) by pk (x), k = 0,..., n.",

keywords = "Orthogonal polynomials, Ultraspherical polynomials",

author = "R. Lasser and J. Obermaier",

year = "2008",

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AU - Lasser, R.

AU - Obermaier, J.

PY - 2008/7

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N2 - We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on [-1,1] via the special form of the representation of the derivatives p' n+1(x) by pk (x), k = 0,..., n.

AB - We characterize the class of ultraspherical polynomials in between all symmetric orthogonal polynomials on [-1,1] via the special form of the representation of the derivatives p' n+1(x) by pk (x), k = 0,..., n.

KW - Orthogonal polynomials

KW - Ultraspherical polynomials

UR - https://www.scopus.com/pages/publications/69649094781

U2 - 10.1090/S0002-9939-08-09378-7

DO - 10.1090/S0002-9939-08-09378-7

M3 - Article

AN - SCOPUS:69649094781

SN - 0002-9939

VL - 136

SP - 2493

EP - 2498

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

A new characterization of ultraspherical polynomials

Abstract

Keywords

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