"Gordon function" is another name for the confluent hypergeometric function of the second kind, defined by
![G(a|c|z)=e^(ipia)(Gamma(c))/(Gamma(a)){(Gamma(1-c))/(Gamma(1-a))[e^(-pic)+(sin[pi(a-c)])/(sin(pia))]×_1F_1(a;c;z)-2(Gamma(c-1))/(Gamma(c-a))z^(1-c)_1F_1(a-c+1;2-c;z)},](https://txtdot.deep-swarm.xyz/proxy/img?url=https%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FGordonFunction%2FNumberedEquation1.svg)
where 
is the gamma function and 
is the confluent
hypergeometric function of the first kind.
See also
Confluent Hypergeometric Function of the Second Kind
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References
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 671-672, 1953.
Referenced on Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Gordon Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GordonFunction.html