Sometimes also called the Pearson-Cunningham Function. It can be expressed using Whittaker
Functions (Whittaker and Watson 1990, p. 353).
See also Confluent Hypergeometric Function of the Second Kind, Whittaker Function
References
Abramowitz, M. and Stegun, C. 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.