Pad\'e interpolation and hypergeometric series
Masatoshi Noumi
TL;DR
This paper introduces a class of Padé interpolation problems with solutions that can be expressed using determinants of hypergeometric series, bridging approximation theory and special functions.
Contribution
It presents a novel class of Padé interpolation problems whose solutions are explicitly expressed through hypergeometric series determinants.
Findings
Solutions are expressible via hypergeometric series determinants
Establishes a new connection between Padé interpolation and hypergeometric functions
Provides a framework for solving interpolation problems with special function solutions
Abstract
We propose a class of Pad\'e interpolation problems whose solutions are expressible in terms of determinants of hypergeometric series.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Nonlinear Waves and Solitons