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Characterization of quadratic Cauchy–Stieltjes kernel families based on the orthogonality of polynomials
Journal article   Open access  Peer reviewed

Characterization of quadratic Cauchy–Stieltjes kernel families based on the orthogonality of polynomials

Raouf Fakhfakh
Journal of mathematical analysis and applications, Vol.459(1), pp.577-589
01/03/2018
DOI: https://doi.org/10.1016/j.jmaa.2017.10.003

Abstract

Cauchy kernel Orthogonal polynomial q-Derivative
In this study, we state some facts regarding the sequence of polynomials associated with a Cauchy–Stieltjes kernel family and we prove that a quadratic variance function is characterized by the property of orthogonality for these polynomials.
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https://doi.org/10.1016/j.jmaa.2017.10.003View
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