Recurrence Formula for Polynomials of Two Variables, Orthogonal with Respect to Rotation Invariant Measures
| ISSN: |
1432-0940
|
|---|---|
| Keywords: |
Key words. Orthogonal polynomials, Recurrence formula, Rotation invariant measure, Disk polynomials. AMS Classification. Primary: 33C30; Secondary: 33C90, 39A12.
|
| Source: |
Springer Online Journal Archives 1860-2000
|
| Topics: |
Mathematics
|
| Notes: |
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.
|
| Type of Medium: |
Electronic Resource
|
| URL: |