COMPLEX AND DISTRIBUTIONAL WEIGHTS FOR SIEVED ULTRASPHERICAL POLYNOMIALS

COMPLEX AND DISTRIBUTIONAL WEIGHTS FOR SIEVED ULTRASPHERICAL POLYNOMIALS

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.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1996, Vol.1996 (2), p.229-242
Hauptverfasser: Charris, Jairo A., Soriano, Felix H.
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev polynomials
continued fractions
contour integrals
distributions
Jacobi polynomials
moment functionals
orthogonality measures
recurrence relations
ultraspherical and sieved ultraspherical polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171296000336