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arXiv · 2312.04773

Rational discrete analytic functions on a rhombic lattice

Daniel Alpay·Zubayir Kazi·Mariana Tecalero·Dan Volok
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Abstract

A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.

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Daniel Alpay, Zubayir Kazi, Mariana Tecalero, Dan Volok. 2023-12-08. Rational discrete analytic functions on a rhombic lattice. https://arxiv.org/abs/2312.04773

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