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The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer
Charles F. Dunkl, George Gasper
A summation formula is derived for the sum of the first m+1 terms of the 3F2(a,b,c;(a+b+1)/2,2c;1) series when c = -m is a negative integer. This summation formula is used to deriv…
Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States
Paul B. Slater, Charles F. Dunkl
Previously, a formula, incorporating a hypergeometric function, for the Hilbert-Schmidt-averaged determinantal moments $\left\langle \left\vert ρ^{PT}\right\vert ^{n}\left\ve…
Real numerical shadow and generalized B-splines
Charles F. Dunkl, Piotr Gawron, Łukasz Pawela +2
Restricted numerical shadow of an operator of order is a probability distribution supported on the numerical range restricted to a certain subset of…
Generalized Two-Qubit Whole and Half Hilbert-Schmidt Separability Probabilities
Paul B. Slater, Charles F. Dunkl
Compelling evidence-though yet no formal proof-has been adduced that the probability that a generic (standard) two-qubit state () is separable/disentangled is (ar…