Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures |
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Authors: | M J Zygmunt |
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Institution: | (1) Institute of Mathematics Polish Academy of Sciences ul. Śniadeckich 8 00—950 Warszawa Poland zygmunt@impan.gov.pl, PL |
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Abstract: | We give the recurrence formula satisfied by polynomials of two variables, orthogonal with respect to a rotation invariant
measure. Moreover, we show that for polynomials satisfying such a recurrence formula, there exists an orthogonality measure
which is rotation invariant. We also compute explicitly the recurrence coefficients for the disk polynomials.
January 4, 1997. Date revised: October 15, 1997. Date accepted: October 21, 1997. |
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Keywords: | , Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials, AMS Classification, Primary:,,,,,33C30, Secondary: 33C90, 39A12, |
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