Hypergeometric Differential Equation
It has regular singular points at 0, 1, and 
. Every second-order ordinary differential equation with at most three regular singular points can be transformed into the hypergeometric differential equation.
REFERENCES:
Bailey, W. N. Generalised Hypergeometric Series. Cambridge, England: University Press, pp. 1-2, 1935.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 542-543, 1953.
Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 123, 1997.
