General Confluent Hypergeometric Differential Equation

A generalization of the confluent hypergeometric differential equation given by

(1)

The solutions are given by

			(2)
			(3)

where  is a confluent hypergeometric function of the first kind and  is a confluent hypergeometric function of the second kind (Abramowitz and Stegun 1972, p. 505).

REFERENCES:

Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 505, 1972.

Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 123, 1997.