Orthogonal polynomials on ellipses and their recurrence relations. (English) Zbl 1305.33025
The author considers orthogonal polynomials with respect to a measure supported by an ellipse which satisfies a certain multiplicativity property. He gives a narrative construction in which he obtains the recurrence equations which are satisfied by these polynomials. He also obtains the equivalent of the CMV of matrix representation of the operator of multiplication by coordinate function.
Reviewer: Chrysoula G. Kokologiannaki (Patras)
MSC:
| 33C47 | Other special orthogonal polynomials and functions |
| 47B36 | Jacobi (tridiagonal) operators (matrices) and generalizations |
References:
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