SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (1): 85-96.

SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

杜金元

Wuhan University

收稿日期:1985-04-29 出版日期:1987-03-25 发布日期:1987-03-25
基金资助:
Project supported by the Science Fund of the Chinese Academy of Sciences.

SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Du Jinyuan

Wuhan University

Received:1985-04-29 Online:1987-03-25 Published:1987-03-25
Supported by:
Project supported by the Science Fund of the Chinese Academy of Sciences.

摘要/Abstract

摘要： In this paper, some systems of orthogonal polynomials associated with singular integral equation of the form
a(t)φ(t)+b(t)/π∫_-1¹φ(t)/(τ-t)dτ=f(t),-1 < t <1
is derived, and some properties of such polynomials will are discussed.

杜金元. SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. 数学物理学报(英文版), 1987, 7(1): 85-96.

Du Jinyuan. SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS[J]. Acta mathematica scientia,Series B, 1987, 7(1): 85-96.

SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

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