hasIntegralRepresentation
15
triples
GPTKB property
Random triples
| Subject | Object |
|---|---|
| gptkb:The_Logarithmic_Integral_II | li₂(x) = −∫₀ˣ ln(1−t)/t dt |
| gptkb:Euler_beta_function | B(x, y) = ∫₀^∞ t^{x-1} / (1+t)^{x+y} dt |
| gptkb:Riemann_zeta_function_(when_χ_is_trivial) | ζ(s) = 1/Γ(s) ∫₀^∞ x^{s-1}/(e^x-1) dx |
| gptkb:Airy_function | yes |
| gptkb:Kummer's_function | yes |
| gptkb:parabolic_cylinder_function | yes |
| gptkb:gamma_function | Γ(z) = ∫₀^∞ t^{z-1} e^{-t} dt |
| gptkb:Macdonald_function | yes |
| gptkb:Bessel_function_of_the_first_kind | J_n(x) = (1/π) ∫_0^π cos(nτ - x sin τ) dτ |
| gptkb:Lerch_zeta_function | Yes |
| gptkb:confluent_hypergeometric_function_of_the_second_kind | yes |
| gptkb:Barnes_G-function | yes |
| gptkb:Faddeeva_function | (2i/√π) ∫₀^z exp(t^2) dt |
| gptkb:modified_Bessel_function | yes |
| gptkb:Airy_function_Bi(x) | yes |