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math-ph2021★ 3 cited
Discrete Bessel and Mathieu functions
Kenan Uriostegui, Kurt Bernardo Wolf
The two-dimensional Helmholtz equation separates in elliptic coordinates based on two distinct foci, a limit case of which includes polar coordinate systems when the two foci coale…
math-ph2020★ 3 cited
Discrete Bessel functions and transform
Kenan Uriostegui, Kurt Bernardo Wolf
We present a straightforward discretization of the Bessel functions to discrete counterparts , of integer orders on integer points $x_m \equiv…