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Show that the substitution 1- x a = -1, b = l+ 1, c = 1 2 converts the hypergeometric equation into Legendre's equation.

Show that the substitution 1- x a = -1, b = l+ 1, c = 1 2 converts the hypergeometric equation into Legendre's equation.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 51RE
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Show that the substitution 1- x a = -1, b = l+ 1, c = 1 2 converts the hypergeometric equation into Legendre's equation.
Transcribed Image Text:Show that the substitution 1- x a = -1, b = l+ 1, c = 1 2 converts the hypergeometric equation into Legendre's equation.
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