Gordon Function

"Gordon function" is another name for the confluent hypergeometric function of the second kind, defined by

$G(a|c|z)=e^(ipia)(Gamma(c))/(Gamma(a)){(Gamma(1-c))/(Gamma(1-a))[e^(-pic)+(sin[pi(a-c)])/(sin(pia))]×_1F_1(a;c;z)-2(Gamma(c-1))/(Gamma(c-a))z^(1-c)_1F_1(a-c+1;2-c;z)},$

where is the gamma function and is the confluent hypergeometric function of the first 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.

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Gordon Function

Cite this as:

Weisstein, Eric W. "Gordon Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GordonFunction.html

Gordon Function

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References

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