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Research Articles

On inherited properties and Julia sets of exceptional Jacobi polynomials

Pages 303-319 | Received 06 Jan 2021, Accepted 11 May 2021, Published online: 24 May 2021
 

Abstract

Some inherited properties of exceptional Jacobi polynomials are derived and as an application it is shown that similarly to the standard case, the equilibrium measure of Julia sets of exceptional Jacobi polynomials tends to the equilibrium measure of the interval of orthogonality in weak-star sense.

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Acknowledgments

The author would like to thank the referee for the careful reading of the paper and for the comments which were all included in the present form of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the NKFIH-OTKA Grants K128922 and K132097.

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