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1: 19.2 Definitions
§19.2(iv) A Related Function:
… ►For the special cases of and see (19.6.15). …2: 34.6 Definition: Symbol
3: 24.2 Definitions and Generating Functions
4: 26.9 Integer Partitions: Restricted Number and Part Size
5: 8.26 Tables
Pearson (1968) tabulates for , , with , to 7D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Stankiewicz (1968) tabulates for , to 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
6: 34.7 Basic Properties: Symbol
7: 6.19 Tables
Abramowitz and Stegun (1964, Chapter 5) includes , , , , ; , , , , ; , , , , ; , , , , ; , , . Accuracy varies but is within the range 8S–11S.
Zhang and Jin (1996, pp. 652, 689) includes , , , 8D; , , , 8S.
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.
8: 5.10 Continued Fractions
9: 10.75 Tables
Wills et al. (1982) tabulates , , , for , 35D.
MacDonald (1989) tabulates the first 30 zeros, in ascending order of absolute value in the fourth quadrant, of the function , 6D. (Other zeros of this function can be obtained by reflection in the imaginary axis).
Abramowitz and Stegun (1964, Chapter 11) tabulates , , , 10D; , , , 8D.
Abramowitz and Stegun (1964, Chapter 11) tabulates , , , 7D; , , , 6D.
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.)