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CHAPTER VII - yen-hansen.ca
T on (7.4). In fact, fn is hypergeometric if ®i;j(n) such that in (7.3) all but two consecutive coe±cients of the fn's are zero. We present an algorithm that takes an admissible proper-hypergeometric term, F …
Bing.comHypergeometric function - Wikipedia
The term "hypergeometric series" was first used by John Wallis in his 1655 book Arithmetica Infinitorum. Hypergeometric series were studied by Leonhard Euler, but the first full systematic treatment was …
Bing.com2 Hypergeometric Identities - Uni Kassel
An expression ak is called a q-hypergeometric term, if ak+1/ak is a rational function with respect to qk, a typical example of which is given by the summand of the q-hypergeometric series.
Bing.comCOMBINATORICS OF HYPERGEOMETRIC FUNCTIONS ASSOCIATED …
Theorem 5.4. The number Fn of admissible trees on the set of vertices [0, n] is equal to n+1 1 X Fn = 2n(n+1) k=1 k n+1 kn. The proof of this formula is given in [Po]. First few numbers Fn are given below.
Bing.comCONTRIBUTIONS TO THE PROOF THEORY OF HYPERGEOMETRIC …
They also introduced the rather technical concept of admissibleproper-hypergeometric terms; “most interesting” hypergeometric terms are admissible and proper.
Bing.comHypergeometric Term -- from Wolfram MathWorld
Given a hypergeometric series sum_ (k)c_k, c_k is called a hypergeometric term (Koepf 1998, p. 12).
Bing.comIntroduction to hypergeometric type functions
Below we list all equations and hypergeometric functions with equations of the order at most 2. The series is convergent for jzj < 1, it extends to a multivalued function on a covering of Cnf0; 1g. that is …
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