Solution of the Karlin problem for zero-diminishing sequences satisfying a Carleman condition

Bakan, Andrew; Ruscheweyh, Stephan

doi:10.1090/S0002-9939-08-09256-3

Solution of the Karlin problem for zero-diminishing sequences satisfying a Carleman condition
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Proc. Amer. Math. Soc. 136 (2008), 2665-2674 Request permission

Abstract:

We describe all zero-diminishing sequences (over the real-valued polynomials on $\mathbb {R}$) which additionally satisfy a Carleman condition and show that they are of the same kind as those in E. Laguerre’s theorem from 1884.

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