A Table of Integrals

By J. Lipka, R. Hudson. 2010

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First Passage processes in cellular biology (2015, methodology): “where β[x, y] is the Beta-function [173].”
Performance analysis of MIMO free-space optical systems in gamma-gamma fading (2009, background): “Thus, the series in (24) also converges for all γ < ∞ [34].”
De Finetti representation theorem for infinite-dimensional quantum systems and applications to quantum cryptography. (2008, background): “By expanding W1 in the Fock basis, {|n〉f}n=0, one obtains that W1 = ∑ qn|n〉f 〈n| with qn = Γ(n + 1, n0)/Γ(n + 1, 0), where Γ is the incomplete Gamma function [24].”
Selection cooperation in multi-source cooperative networks (2008, neutral): “155 from [22], this expression reduces to”
Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study (2014, methodology): “8) after using a standard integral representation of the hypergeometric series [63].”
Entanglement entropy of two disjoint intervals in conformal field theory: II (2010, positive): “Exploiting the asymptotic expansion of the Γ function [29], we have f(k → ±∞) ' 22αe−iπkΓ(1− 2α) sin[(α+ |k|)π] π|k|1−2α (119)”
Three particles in a finite volume (2012, neutral): “12) Now using the equality [50] lim ε→0 ∫ ∞ 0 dp p(2)e p(2) sin p = lim ε→0 ( − d dε′ { 1 2ε′ 1F1 (”