The Cunningham function, sometimes also called the Pearson-Cunningham function, can be expressed using Whittaker functions  (Whittaker
 and Watson 1990, p. 353).
where  
 is a confluent hypergeometric
 function of the second kind  (Abramowitz and Stegun 1972, p. 510).
 
See also Confluent Hypergeometric Function of the Second Kind , 
Whittaker
 Function 
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References Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.  
 New York: Dover, 1972. Whittaker, E. T. and Watson, G. N. A
 Course in Modern Analysis, 4th ed.   Cambridge, England: Cambridge University
 Press, 1990. Referenced on Wolfram|Alpha Cunningham Function 
Cite this as: 
Weisstein, Eric W.  "Cunningham Function."
From MathWorld  --A Wolfram Resource. https://mathworld.wolfram.com/CunninghamFunction.html 
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