Wall’s continued-fraction characterization of Hausdorff moment sequences: A conceptual proof

DOI10.1090/proc/14884zbMath1445.44006arXiv1903.12455OpenAlexW2927835864WikidataQ126864470 ScholiaQ126864470MaRDI QIDQ5221353

Alan D. Sokal

Publication date: 25 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.12455

zbMATH Keywords

continued fractionclassical moment problemStieltjes moment sequenceHausdorff moment sequencebinomial transformHamburger moment sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60) Continued fractions; complex-analytic aspects (30B70)

Cites Work

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• \(Q\)-systems, heaps, paths and cluster positivity
• Combinatorial aspects of continued fractions
• Continued fractions with applications
• The classical moment problem as a self-adjoint finite difference operator
• Gandhi \(q\)-polynomials and Denert statistic
• Further results on the Euler and Genocchi numbers
• Further triangles of Seidel-Arnold type and continued fractions related to Euler and Springer numbers
• On certain symmetry properties of the Genocchi numbers
• The Moment Problem
• The Classical Moment Problem and Some Related Questions in Analysis
• Continued Fractions and Totally Monotone Sequences
• Continued fractions and bounded analytic functions
• On a continued fraction formula of Wall
• On an extension of Euler numbers and records of alternating permutations

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