About the Project
NIST

Weber–Schafheitlin discontinuous integrals

AdvancedHelp

(0.003 seconds)

1—10 of 448 matching pages

1: 11.10 Anger–Weber Functions
§11.10 Anger–Weber Functions
§11.10(i) Definitions
§11.10(v) Interrelations
§11.10(x) Integrals and Sums
2: 1.14 Integral Transforms
§1.14 Integral Transforms
where the last integral denotes the Cauchy principal value (1.4.25). … If f ( t ) and f ( t ) are piecewise continuous on [ 0 , ) with discontinuities at ( 0 = ) t 0 < t 1 < < t n , then …
§1.14(viii) Compendia
For more extensive tables of the integral transforms of this section and tables of other integral transforms, see Erdélyi et al. (1954a, b), Gradshteyn and Ryzhik (2000), Marichev (1983), Oberhettinger (1972, 1974, 1990), Oberhettinger and Badii (1973), Oberhettinger and Higgins (1961), Prudnikov et al. (1986a, b, 1990, 1992a, 1992b).
3: 8.19 Generalized Exponential Integral
§8.19 Generalized Exponential Integral
§8.19(i) Definition and Integral Representations
Other Integral Representations
§8.19(ii) Graphics
§8.19(x) Integrals
4: 6.2 Definitions and Interrelations
§6.2(i) Exponential and Logarithmic Integrals
The logarithmic integral is defined by …
§6.2(ii) Sine and Cosine Integrals
5: 8.21 Generalized Sine and Cosine Integrals
§8.21 Generalized Sine and Cosine Integrals
§8.21(iii) Integral Representations
§8.21(iv) Interrelations
§8.21(v) Special Values
6: 7.2 Definitions
§7.2(ii) Dawson’s Integral
§7.2(iii) Fresnel Integrals
Values at Infinity
§7.2(iv) Auxiliary Functions
§7.2(v) Goodwin–Staton Integral
7: 7.18 Repeated Integrals of the Complementary Error Function
§7.18 Repeated Integrals of the Complementary Error Function
§7.18(i) Definition
§7.18(iii) Properties
Hermite Polynomials
8: 19.16 Definitions
§19.16(i) Symmetric Integrals
All other elliptic cases are integrals of the second kind. …(Note that R C ( x , y ) is not an elliptic integral.) … Each of the four complete integrals (19.16.20)–(19.16.23) can be integrated to recover the incomplete integral: …
9: 36.2 Catastrophes and Canonical Integrals
§36.2 Catastrophes and Canonical Integrals
§36.2(i) Definitions
Canonical Integrals
§36.2(iii) Symmetries
10: 19.2 Definitions
§19.2(i) General Elliptic Integrals
is called an elliptic integral. …
§19.2(ii) Legendre’s Integrals
§19.2(iii) Bulirsch’s Integrals
§19.2(iv) A Related Function: R C ( x , y )