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A method of generating integral representations

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The objective of this paper was to present a unified method of generating integral representations in special function theory using the idea of simultaneous separability of∇ 2U+ΦU=0 in orthogonal curvilinear coordinate systems. The main results of this paper are formulas (8), (9) and (10) with formula (11) as a special case of (10).

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Author notes

  1. W. W. Turner

    Present address: Department of Mathematics, Western Michigan University, Kalamazoo, Mich., USA

  2. A. Leitner

    Present address: Department of Physics, Michigan State University, East Lansing, Mich., USA

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    1. W. W. Turner
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    2. A. Leitner
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    Additional information

    This paper contains results submitted by W. W.Turner as a dissertation for the degree of Doctor of Philosophy at Michigan State University.

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    Turner, W.W., Leitner, A. A method of generating integral representations. Arch. Math 17, 551–560 (1966). https://doi.org/10.1007/BF01899429

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