argument ±1
(0.007 seconds)
31—40 of 137 matching pages
31: 35.2 Laplace Transform
32: 9.18 Tables
…
βΊ
•
…
Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.
33: 34.5 Basic Properties: Symbol
…
βΊIf any lower argument in a symbol is , , or , then the symbol has a simple algebraic form.
…
34: 19.8 Quadratic Transformations
35: Bibliography G
…
βΊ
Algorithm 969: computation of the incomplete gamma function for negative values of the argument.
ACM Trans. Math. Softw. 43 (3), pp. 26:1–26:9.
…
36: 19.6 Special Cases
37: 19.10 Relations to Other Functions
…
βΊ
19.10.2
38: 6.1 Special Notation
…
βΊUnless otherwise noted, primes indicate derivatives with respect to the argument.
βΊThe main functions treated in this chapter are the exponential integrals , , and ; the logarithmic integral ; the sine integrals and ; the cosine integrals and .
…
39: 5.22 Tables
…
βΊAbramowitz and Stegun (1964, Chapter 6) tabulates , , , and for to 10D; and for to 10D; , , , , , , , and for to 8–11S; for to 20S.
Zhang and Jin (1996, pp. 67–69 and 72) tabulates , , , , , , , and for to 8D or 8S; for to 51S.
…
βΊAbramov (1960) tabulates for () , () to 6D.
Abramowitz and Stegun (1964, Chapter 6) tabulates for () , () to 12D.
This reference also includes for the same arguments to 5D.
…
40: Bibliography D
…
βΊ
Bessel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter.
SIAM J. Math. Anal. 21 (4), pp. 995–1018.
…