See also
Confluent
Hypergeometric Differential Equation
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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, p. 505, 1972.Zwillinger, D. Handbook
of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 123,
1997.Referenced on Wolfram|Alpha
General
Confluent Hypergeometric Differential Equation
Cite this as:
Weisstein, Eric W. "General Confluent Hypergeometric Differential Equation." From MathWorld--A Wolfram Web
Resource. https://mathworld.wolfram.com/GeneralConfluentHypergeometricDifferentialEquation.html
Subject classifications
![y^('')+((2A)/x+2f^'+(bh^')/h-h^'-(h^(''))/(h^'))y^'+[((bh^')/h-h^'-(h^(''))/(h^'))(A/x+f^')+(A(A-1))/(x^2)+(2Af^')/x+f^('')+f^('2)-(ah^('2))/h]y=0.](/images/equations/GeneralConfluentHypergeometricDifferentialEquation/NumberedEquation1.svg)
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).
