variation%20of%20real%20or%20complex%20functions
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1: Bibliography D
2: 22.3 Graphics
3: Bibliography M
4: Bibliography B
5: Software Index
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20 Theta Functions | |||||||||||||||||||||||||
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Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.
6: 20.7 Identities
7: 10.75 Tables
The main tables in Abramowitz and Stegun (1964, Chapter 9) give to 15D, , , , to 10D, to 8D, ; , , , 8D; , , , , 5D or 5S; , , , , 10S; modulus and phase functions , , , , 8D.
Zhang and Jin (1996, p. 199) tabulates the real and imaginary parts of the first 15 conjugate pairs of complex zeros of , , and the corresponding values of , , , respectively, 10D.
§10.75(viii) Modified Bessel Functions of Imaginary or Complex Order
… ►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.)
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.