About the Project
NIST

generalized

AdvancedHelp

(0.003 seconds)

1—10 of 384 matching pages

1: 8.19 Generalized Exponential Integral
§8.19 Generalized Exponential Integral
§8.19(ii) Graphics
§8.19(ix) Inequalities
§8.19(x) Integrals
§8.19(xi) Further Generalizations
2: 16.2 Definition and Analytic Properties
§16.2(i) Generalized Hypergeometric Series
Polynomials
Note also that any partial sum of the generalized hypergeometric series can be represented as a generalized hypergeometric function via …
§16.2(v) Behavior with Respect to Parameters
3: 8.21 Generalized Sine and Cosine Integrals
§8.21 Generalized Sine and Cosine Integrals
§8.21(i) Definitions: General Values
§8.21(iv) Interrelations
§8.21(v) Special Values
4: 35.8 Generalized Hypergeometric Functions of Matrix Argument
§35.8 Generalized Hypergeometric Functions of Matrix Argument
§35.8(i) Definition
Convergence Properties
§35.8(iv) General Properties
Confluence
5: 19.2 Definitions
§19.2(i) General Elliptic Integrals
6: 8.16 Generalizations
§8.16 Generalizations
For a generalization of the incomplete gamma function, including asymptotic approximations, see Chaudhry and Zubair (1994, 2001) and Chaudhry et al. (1996). Other generalizations are considered in Guthmann (1991) and Paris (2003).
7: 17.15 Generalizations
§17.15 Generalizations
8: 7.16 Generalized Error Functions
§7.16 Generalized Error Functions
Generalizations of the error function and Dawson’s integral are 0 x e - t p d t and 0 x e t p d t . …
9: 16.26 Approximations
§16.26 Approximations
For discussions of the approximation of generalized hypergeometric functions and the Meijer G -function in terms of polynomials, rational functions, and Chebyshev polynomials see Luke (1975, §§5.12 - 5.13) and Luke (1977b, Chapters 1 and 9).
10: 24.16 Generalizations
§24.16 Generalizations
For = 0 , 1 , 2 , , Bernoulli and Euler polynomials of order are defined respectively by … B n ( x ) is a polynomial in x of degree n . …
§24.16(ii) Character Analogs
§24.16(iii) Other Generalizations