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

**Authors:** Alan D. Sokal

arXiv: 1903.12455 · 2020-02-25

## TL;DR

This paper provides an elementary proof of Wall's characterization of Hausdorff moment sequences using continued fractions, simplifying the understanding of their mathematical structure.

## Contribution

The paper offers a new, elementary proof of Wall's continued-fraction characterization, making the concept more accessible and easier to understand.

## Key findings

- Elementary proof of Wall's characterization
- Simplifies understanding of Hausdorff moment sequences
- Clarifies the structure using continued fractions

## Abstract

I give an elementary proof of Wall's continued-fraction characterization of Hausdorff moment sequences.

## Full text

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## References

27 references — full list in the complete paper: https://tomesphere.com/paper/1903.12455/full.md

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Source: https://tomesphere.com/paper/1903.12455