A general stability theorem with applications

Charalambides, Marios

doi:10.1090/S0002-9939-2013-11731-4

A general stability theorem with applications
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Proc. Amer. Math. Soc. 142 (2014), 191-197 Request permission

Abstract:

The author presents a generalization of recent stability theorems. Polynomials whose coefficients are successive derivatives of a class of orthogonal functions evaluated at $x = c$, where $c$ is a constant, are shown to fit in this general framework. Special reference is made to the ones related to the classical orthogonal polynomials. Related families of polynomials with real negative roots are also introduced.

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