34 citations · 281 across the 51 of their papers we have counts for
Showing 1994 · math.CAShow all
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math.CA1994
Yet another basic analogue of Graf's addition formula
Erik Koelink
An identity involving basic Bessel functions and Al-Salam--Chihara polynomials is proved for which we recover Graf's addition formula for the Bessel function as the base tends…
math.CA1994
On Jacobi and continuous Hahn polynomials
Erik Koelink
Jacobi polynomials are mapped onto the continuous Hahn polynomials by the Fourier transform and the orthogonality relations for the continuous Hahn polynomials then follow from the…
math.CA1994
A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel function
Erik Koelink, René F. Swarttouw
An addition and product formula for the Hahn-Exton -Bessel function, previously obtained by use of a quantum group theoretic interpretation, are proved analytically. A (formal)…