relations to other functions

(0.008 seconds)

1—10 of 161 matching pages

E_{1}\left(z\right)=e^{-z}U\left(1,1,z\right),

Symbols:: $U\left(\NVar{a},\NVar{b},\NVar{z}\right)$ : Kummer confluent hypergeometric function, $\mathrm{e}$ : base of natural logarithm, $E_{1}\left(\NVar{z}\right)$ : exponential integral and $z$ : complex variable
Referenced by:: §6.11, 5th item, §6.6
Permalink:: http://dlmf.nist.gov/6.11.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §6.11, §6.11 and Ch.6

… ►The relations (20.9.1) and (20.9.2) between

k

\tau

q

) are solutions of Jacobi’s inversion problem; see Baker (1995) and Whittaker and Watson (1927, pp. 480–485). … ►

relations to other functions

1—10 of 161 matching pages

1: 16.7 Relations to Other Functions

§16.7 Relations to Other Functions

2: 6.11 Relations to Other Functions

§6.11 Relations to Other Functions

Incomplete Gamma Function

Confluent Hypergeometric Function

3: 13.18 Relations to Other Functions

§13.18 Relations to Other Functions

§13.18(i) Elementary Functions

§13.18(ii) Incomplete Gamma Functions

§13.18(iii) Modified Bessel Functions

§13.18(iv) Parabolic Cylinder Functions

4: 7.11 Relations to Other Functions

§7.11 Relations to Other Functions

Incomplete Gamma Functions and Generalized Exponential Integral

Confluent Hypergeometric Functions

Generalized Hypergeometric Functions

5: 12.7 Relations to Other Functions

§12.7 Relations to Other Functions

§12.7(i) Hermite Polynomials

§12.7(ii) Error Functions, Dawson’s Integral, and Probability Function

§12.7(iii) Modified Bessel Functions

§12.7(iv) Confluent Hypergeometric Functions

6: 13.6 Relations to Other Functions

§13.6 Relations to Other Functions

§13.6(ii) Incomplete Gamma Functions

§13.6(iii) Modified Bessel Functions

§13.6(iv) Parabolic Cylinder Functions

§13.6(vi) Generalized Hypergeometric Functions

7: 10.39 Relations to Other Functions

§10.39 Relations to Other Functions

Elementary Functions

Parabolic Cylinder Functions

Confluent Hypergeometric Functions

Generalized Hypergeometric Functions and Hypergeometric Function

8: 10.16 Relations to Other Functions

§10.16 Relations to Other Functions

Elementary Functions

Parabolic Cylinder Functions

Confluent Hypergeometric Functions

Generalized Hypergeometric Functions

9: 20.9 Relations to Other Functions

§20.9 Relations to Other Functions

§20.9(i) Elliptic Integrals

§20.9(ii) Elliptic Functions and Modular Functions

§20.9(iii) Riemann Zeta Function

10: 19.10 Relations to Other Functions

§19.10 Relations to Other Functions

§19.10(i) Theta and Elliptic Functions