Definition:Hypergeometic Differential Equation
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Definition
A hypergeometic differential equation s a second order differential equation in the form:
- $x \paren {1 - x} \dfrac {\d^2 \phi} {\d x^2} + \paren {c - \paren {a + b - 1} } \dfrac {\d \phi} {\d x} - a b \phi = 0$
where $a, b, c \in \R$ are constants.
Also see
- Results about hypergeometic differential equations can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hypergeometic differential equation
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hypergeometic differential equation