hypergeometric


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hypergeometric

(ˌhaɪpədʒɪəˈmɛtrɪk)
adj
(Mathematics) of or relating to operations or series that transcend ordinary geometrical operations or series
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His topics include the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, the Rogers-Fine identity, Bailey chains, WP-Bailey pairs and chains, further results on Bailey/WP-Bailey pairs and chains, bijective proofs of basic hypergeometric identities, q-continued fractions, Lambert series, and mock theta functions.
of the generalized hypergeometric series (the both sides of this equality are rational functions of [a.
In an attempt to detect competing lncRNA-mRNA interactions, a hypergeometric test was employed in our study, which could evaluate the significance of the common miRNAs between each mRNA and lncRNA.
where [PHI]([alpha]; [beta]; *) is the type 1 confluent hypergeometric function.
Lastly, modules sharing common sets of pathways and common chemicals across the different data sets--namely RLV, PRH, and PHH (inter-data set similarity)--were identified using a one-sided hypergeometric test (p < 0.
1] X/d) by the confluent hypergeometric function of matrix argument [sub.
We now give the definition of the hypergeometric series which will be used in obtaining some integrals.
Some properties of the hypergeometric distribution with applications to zoological sample censuses.
The main purpose of this current note is to introduce a Hypergeometric distribution series in associated with integral operator and obtain necessary and sufficient conditions for this integral related series belonging to the classes and T ( , ) and C( , ) .
Some problems of hypergeometric integrals associated with hypersphere arrangement Kazuhiko AOMOTO and Yoshinori MACHIDA Communicated by Masaki KASHIWARA, M.
This paper studies the confluent (Kummer) hypergeometric function [PHI](a; c; z) given by