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Generating function for Mathieu functions
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cosmicstring@gmail.com
science forum beginner


Joined: 09 Jul 2006
Posts: 2

PostPosted: Fri Jul 21, 2006 8:39 am    Post subject: Generating function for Mathieu functions Reply with quote
Does a generating function for Mathieu functions exist?
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Paul Abbott
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Joined: 19 May 2005
Posts: 99

PostPosted: Fri Jul 21, 2006 9:09 am    Post subject: Re: Generating function for Mathieu functions Reply with quote
In article <1153471164.646130.311500@h48g2000cwc.googlegroups.com>,
cosmicstring@gmail.com wrote:

Quote:
Does a generating function for Mathieu functions exist?

None is listed at

http://functions.wolfram.com/MathieuFunctions/MathieuC/

nor is one given in Abramowitz and Stegun. However, see

http://www.smf.mx/rmf/pdf/rmf/48_3/48_277.pdf

and references there-in. In particular,

L.Chaos-Cador and E. Ley-Koo 2002, "Mathieu functions revisited: matrix
evaluation and generating functions", Rev. Mex. Fis., 48(1): 67-75

Cheers,
Paul

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Paul Abbott Phone: 61 8 6488 2734
School of Physics, M013 Fax: +61 8 6488 1014
The University of Western Australia (CRICOS Provider No 00126G)
AUSTRALIA http://physics.uwa.edu.au/~paul
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