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1: 28 Mathieu Functions and Hill’s Equation
2: 22.3 Graphics
3: 20.10 Integrals
4: 20 Theta Functions
Chapter 20 Theta Functions
…5: 6.19 Tables
Abramowitz and Stegun (1964, Chapter 5) includes the real and imaginary parts of , , , 6D; , , , 6D; , , , 6D.
Zhang and Jin (1996, pp. 690–692) includes the real and imaginary parts of , , , 8S.
6: 9.18 Tables
Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.
Woodward and Woodward (1946) tabulates the real and imaginary parts of , , , for , . Precision is 4D.
Sherry (1959) tabulates , , , , ; 20S.
Corless et al. (1992) gives the real and imaginary parts of for ; 14S.
7: 8 Incomplete Gamma and Related
Functions
8: 23 Weierstrass Elliptic and Modular
Functions
9: 7.23 Tables
Zhang and Jin (1996, pp. 638, 640–641) includes the real and imaginary parts of , , , 7D and 8D, respectively; the real and imaginary parts of , , , 8D, together with the corresponding modulus and phase to 8D and 6D (degrees), respectively.
10: 10.75 Tables
Zhang and Jin (1996, pp. 185–195) tabulates , , , , , , 5, 10, 25, 50, 100, 9S; , , , , , , , 8S; real and imaginary parts of , , , , , , , , 8S.
Zhang and Jin (1996, pp. 240–250) tabulates , , , , , , 9S; , , , , , 10, 30, 50, 100, , , , , , , 5, 10, 50, 8S; real and imaginary parts of , , , , , 20(10)50, 100, , , 8S.
Zhang and Jin (1996, pp. 296–305) tabulates , , , , , , , , , 50, 100, , 5, 10, 25, 50, 100, 8S; , , , (Riccati–Bessel functions and their derivatives), , 50, 100, , 5, 10, 25, 50, 100, 8S; real and imaginary parts of , , , , , , , , , 20(10)50, 100, , , 8S. (For the notation replace by , , , , respectively.)