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Orthogonal properties of confluent hypergeometric functions

  1. Sep 15, 2015 #1
    Hi

    Can anyone point to me a reference where orthogonal properties of confluent hypergeometric functions are discussed?

    Navaneeth
     
  2. jcsd
  3. Sep 16, 2015 #2
    The following relates to parameters on lattice points; but most orthogonality expositions do the same; i.e. sums over f(n,x) with n integer.
    Doing a google search I came up with: http://www.sciencedirect.com/science/article/pii/S037704270500381X
    In particular:
    Section 3 establishes the orthogonality conditions for Kummer functions; this relationship corresponds to an apparently new type of scalar product space for them.
    The paper is a free .pdf link on that site. Section 2 looks similar to the Lie Algebra dissections of hypergoemetric functions. I haven't read the whole paper and am not (yet) strong enough in Lie Algebra to answer questions on the similiarity. But I can give a link if wanted.
     
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