February 13, 2024Open Access

New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula

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Abstract

We obtain sharp estimates for the Jacobi heat kernel in a range of parameters where the result has not been established before. This extends and completes an earlier result due to the authors. The proof is based on a generalization of the Dijksma-Koornwinder product formula for Jacobi polynomials.

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Nowak et al. (Tue,) studied this question.

synapsesocial.com/papers/68e79591b6db643587706ce6 https://doi.org/https://doi.org/10.48550/arxiv.2402.08800

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