Definition:Hypergeometric Differential Equation/Mistake
Jump to navigation
Jump to search
Source Work
2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.):
- hypergeometric differential equation
Mistake
- A second-order differential equation of the form
- $x \paren {1 - x} \dfrac {\d^2 \phi} {\d x^2} + \sqbrk {c - \paren {a + b - 1} x} \dfrac {\d \phi} {\d x} - a b \phi = 0$
- where $a$, $b$ and $c$ are constants.
Correction
There is a minus sign which should be a plus:
- $x \paren {1 - x} \dfrac {\d^2 \phi} {\d x^2} + \sqbrk {c - \paren {a + b + 1} x} \dfrac {\d \phi} {\d x} - a b \phi = 0$
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hypergeometric differential equation