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The Euler and Springer Numbers as Moment Sequences

Sokal, AD; (2018) The Euler and Springer Numbers as Moment Sequences. Expositiones Mathematicae 10.1016/j.exmath.2018.08.001. (In press). Green open access

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Abstract

I study the sequences of Euler and Springer numbers from the point of view of the classical moment problem.

Type: Article
Title: The Euler and Springer Numbers as Moment Sequences
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.exmath.2018.08.001
Publisher version: https://doi.org/10.1016/j.exmath.2018.08.001
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: : Euler numbers, secant numbers, tangent numbers, Springer numbers, alternating permutations, snakes of type Bn, classical moment problem, Hamburger moment sequence, Stieltjes moment sequence, Hankel matrix, Hankel determinant, continued fraction.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10059424
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