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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(2):315-327; doi:10.1093/qjmam/23.2.315
© 1970 by Oxford University Press
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INTEGRAL REPRESENTATION OF THE HANKEL FUNCTION IN TERMS OF PARABOLIC CYLINDER FUNCTIONS

T. A. LOWDON

( Department of Mathematics, University of Dundee Scotland )

In this paper is given a unique and differentiable integral representation of the Hankel function of zero order in terms of parabolic cylinder functions.


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