hasIntegralRepresentation

15 triples
GPTKB property

Random triples
Subject Object
gptkb:Airy_function_Bi(x) yes
gptkb:modified_Bessel_function yes
gptkb:Macdonald_function yes
gptkb:gamma_function Γ(z) = ∫₀^∞ t^{z-1} e^{-t} dt
gptkb:Barnes_G-function yes
gptkb:Riemann_zeta_function_(when_χ_is_trivial) ζ(s) = 1/Γ(s) ∫₀^∞ x^{s-1}/(e^x-1) dx
gptkb:Faddeeva_function (2i/√π) ∫₀^z exp(t^2) dt
gptkb:Airy_function yes
gptkb:The_Logarithmic_Integral_II li₂(x) = −∫₀ˣ ln(1−t)/t dt
gptkb:parabolic_cylinder_function yes
gptkb:Lerch_zeta_function Yes
gptkb:Bessel_function_of_the_first_kind J_n(x) = (1/π) ∫_0^π cos(nτ - x sin τ) dτ
gptkb:Euler_beta_function B(x, y) = ∫₀^∞ t^{x-1} / (1+t)^{x+y} dt
gptkb:confluent_hypergeometric_function_of_the_second_kind yes
gptkb:Kummer's_function yes