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Date: 17-9-2018
1280
Date: 18-7-2019
1184
Date: 5-9-2019
1077
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Let be a Bessel function of the first kind, a Bessel function of the second kind, and a modified Bessel function of the first kind. Also let and require . Then
The fourth edition of Gradshteyn and Ryzhik (2000), Iyanaga and Kawada (1980), and Ito (1987) erroneously give the exponential with a plus sign. A related integral is given by
for .
REFERENCES:
Gradshteyn, I. S. and Ryzhik, I. M. Eqns. 6.617.1 and 6.617.2 in Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 710, 2000.
Itô, K. (Ed.). Encyclopedic Dictionary of Mathematics, 2nd ed. Cambridge, MA: MIT Press, p. 1806, 1987.
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1476, 1980.
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