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If found that : "Assume further that this equation has e series solution $\sum a_ix^i$ whose coefficients are connected by two term recurrence formula. Then, such a series can be expressed in terms of hypergeometric series." [Bragg, 1969]

how can we do this conversion?

thanks in advance

hinafu
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MAK
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  • A bit more context and/or an example would be nice. Also, a quote should go with a reference. – Phira May 11 '12 at 07:47
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    I would both like to know what "this equation" is and what kind of coefficients your two term recurrence is allowed to have. – Phira May 11 '12 at 07:49
  • Here is the reference : "Hypergeometric operator series and related partial differential equations", [Bragg,1969] – MAK May 11 '12 at 08:04
  • Satisfied with my answer? – Did Sep 19 '12 at 18:24

1 Answers1

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The (freely downloadable) book A = B, by Petkovsek, Wilf, and Zeilberger, is, generally speaking, a must-read. The authors explain, in particular how to deduce a hypergeometric series from a recurrence relation and the other way round.

Did
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