Euler%20constant
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11: 9.7 Asymptotic Expansions
12: Software Index
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5.24(ii) , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | FDLIBM |
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8.28(ii) , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |||||
8.28(iii) , , , , , | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||
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20 Theta Functions | |||||||||||||||||||||||||
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30.18(ii) Eigenvalues | ✓ | ✓ | ✓ | ✓ | |||||||||||||||||||||
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13: 25.12 Polylogarithms
14: 7.23 Tables
Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
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.
15: Bibliography P
16: Errata
In previous versions of the DLMF, in §8.18(ii), the notation was used for the scaled gamma function . Now in §8.18(ii), we adopt the notation which was introduced in Version 1.1.7 (October 15, 2022) and correspondingly, Equation (8.18.13) has been removed. In place of Equation (8.18.13), it is now mentioned to see (5.11.3).
The range of was extended to include . Previously this equation appeared without the order estimate as .
Reported 2016-08-30 by Xinrong Ma.
Originally the differential was identified incorrectly as ; the correct differential is .
Reported 2011-04-08.
17: 32.8 Rational Solutions
and , where , is odd, and when .
, , and , with even.
, , and , with even.
, , and .