Nicholson,s Formula
المؤلف:
Gradshteyn, I. S. and Ryzhik, I. M
المصدر:
Eqn. 6.664.4 in Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press
الجزء والصفحة:
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25-3-2019
2558
Nicholson's Formula
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. Then
for ![R[z]>0](http://mathworld.wolfram.com/images/equations/NicholsonsFormula/Inline4.gif)
, where ![R[z]](http://mathworld.wolfram.com/images/equations/NicholsonsFormula/Inline5.gif)
denotes the real part of 
.
REFERENCES:
Gradshteyn, I. S. and Ryzhik, I. M. Eqn. 6.664.4 in Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 707, 2000.
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1476, 1980.
Magnus, W. and Oberhettinger, F. Formeln und Sätze für die speziellen Funktionen der mathematischen Physik, 2nd ed. Berlin: Springer-Verlag, p. 44, 1948.
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