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Complex and distributional weights for sieved ultraspherical polynomials

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  • Jairo A. Charris
  • Felix H. Soriano

Abstract

Contour integral and distributional orthogonality of sieved ultraspherical polynomials are established for values of the parameters outside the natural range of orthogonality by positive measures on the real line. A general representation theorem for moment functionals is included.

Suggested Citation

  • Jairo A. Charris & Felix H. Soriano, 1996. "Complex and distributional weights for sieved ultraspherical polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:517462
    DOI: 10.1155/S0161171296000336
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