generalized%20exponential%20integrals
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1: 8.26 Tables
§8.26(iv) Generalized Exponential Integral
►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.
2: Errata
Several biographies had their publications updated.
A number of changes were made with regard to fractional integrals and derivatives. In §1.15(vi) a reference to Miller and Ross (1993) was added, the fractional integral operator of order was more precisely identified as the Riemann-Liouville fractional integral operator of order , and a paragraph was added below (1.15.50) to generalize (1.15.47). In §1.15(vii) the sentence defining the fractional derivative was clarified. In §2.6(iii) the identification of the Riemann-Liouville fractional integral operator was made consistent with §1.15(vi).
has been generalized to cover an additional case.
3: Bibliography
4: Bibliography N
5: Bibliography S
6: Software Index
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6 Exponential, Logarithmic, Sine, and Cosine Integrals | |||||||||||||||||||||||||
6.21(ii) , , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||
6.21(iii) , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||||||||||
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8.28(vii) , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||||||||||||||||
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20 Theta Functions | |||||||||||||||||||||||||
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7: Bibliography C
8: 20.10 Integrals
§20.10 Integrals
… ►9: 36.4 Bifurcation Sets
10: 9.18 Tables
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.
Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.
Sherry (1959) tabulates , , , , ; 20S.