Orthogonal properties of confluent hypergeometric functions

  • #1
Hi

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

Navaneeth
 

Answers and Replies

  • #2
140
8
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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