Acta mathematica scientia,Series B ›› 1987, Vol. 7 ›› Issue (1): 85-96.

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SOME SYSTEMS OF ORTHOGONAL POLYNOMIALS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS

Du Jinyuan   

  1. 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.

Abstract: 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)=f(t),-1 < t <1
is derived, and some properties of such polynomials will are discussed.

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