Weber-Sonine Formula

For R[mu+nu]>0, |argp|<pi/4, and a>0,


where J_nu(z) is a Bessel function of the first kind, Gamma(z) is the gamma function, and _1F_1(a;b;z) is a confluent hypergeometric function of the first kind.

Explore with Wolfram|Alpha


Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1474, 1980.Watson, G. N. A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, England: Cambridge University Press, p. 393, 1966.

Referenced on Wolfram|Alpha

Weber-Sonine Formula

Cite this as:

Weisstein, Eric W. "Weber-Sonine Formula." From MathWorld--A Wolfram Web Resource.

Subject classifications