Sentence examples for multivariate hypergeometric function from inspiring English sources
We obtain the average SEP in terms of the Lauricella multivariate hypergeometric function.
where Φ 2 ( M ) is the confluent Lauricella multivariate hypergeometric function, involving multiple infinite sums[22]: Φ 2 ( M ) m 1, …, m M ; 1 + ∑ i = 1 M m i ; − m 1 λ 1 K p 1 j, …, − m M λ M K p Mj = ∑ n 1 = 0 ∞ … ∑ n M = 0 ∞ ∏ i = 1 M ( m i ) n i − m i λ i K p ij n i 1 n i ! 1 + ∑ i = 1 M m i n τ, (20).
The kernels are expressed in terms of Appell's multivariable hypergeometric functions.
denotes Gauss hypergeometric function.
with representing the generalized hypergeometric function.
where F is the hypergeometric function.
where the is the confluent hypergeometric function.
where denotes the Gaussian hypergeometric function [12].
where F 1 2 is a hypergeometric function.
where F is a hypergeometric function.
The clustering method is built upon a multivariate hypergeometric model with a Dirichlet process prior for species relative frequencies.
