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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
6.11.2 E 1 ( z ) = e - z U ( 1 , 1 , z ) ,
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
The relations (20.9.1) and (20.9.2) between k and τ (or q ) are solutions of Jacobi’s inversion problem; see Baker (1995) and Whittaker and Watson (1927, pp. 480–485). …
§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