Fresnel%20integrals
(0.002 seconds)
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1: 7.24 Approximations
Cody (1969) provides minimax rational approximations for and . The maximum relative precision is about 20S.
2: 7.23 Tables
Abramowitz and Stegun (1964, Chapter 7) includes , , , 10D; , , 8S; , , 7D; , , , 6S; , , 10D; , , 9D; , , , 7D; , , , , 15D.
Abramowitz and Stegun (1964, Table 27.6) includes the Goodwin–Staton integral , , 4D; also , , 4D.
Zhang and Jin (1996, pp. 637, 639) includes , , , 8D; , , , 8D.
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.
Zhang and Jin (1996, p. 642) includes the first 10 zeros of , 9D; the first 25 distinct zeros of and , 8S.
3: Bibliography F
4: Bibliography S
5: Bibliography
6: Bibliography K
7: Software Index
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7 Error Functions, Dawson’s and Fresnel Integrals | |||||||||||||||||||||||||
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7.25(iv) , , , , | ✓ | ✓ | ✓ | a | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||||
7.25(v) , , | ✓ | a | ✓ | ✓ | ✓ | ✓ | |||||||||||||||||||
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7.25(vii) , , | ✓ | ✓ | ✓ | ||||||||||||||||||||||
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20 Theta Functions | |||||||||||||||||||||||||
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