Fourier-Gauss transforms of bilinear generating functions for the continuous q-Hermite polynomials |
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| Authors: | M K Atakishiyeva N M Atakishiyev |
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| Institution: | (1) Facultad de Ciencias, UAEM, Morelos, México;(2) Instituto de Matemáticas, UNAM, Morelos, México |
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| Abstract: | The classical Fourier-Gauss transforms of bilinear generating functions for the continuous q-Hermite polynomials of Rogers are studied in detail. Our approach is essentially based on the fact that the q-Hermite functions have simple behavior with respect to the Fourier integral transform with the q-independent exponential kernel. |
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