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Using the quadratic transformation and the generating function method wePerform the Fourier transformation of the wave function of coordinates ofhydrogen atom and we find the analytic expression of the wave function inmomentum space. We derive the matrix elements between the basis to 4-dimensionsand integral representation of the generating functions of Gegenbauerpolynomials. We find a relationship between a class of Clifford algebra and thegenerating functions of these polynomials.

On the hydrogen wave function in Momentum-space, Clifford algebra and the Generating function of Gegenbauer polynomial