- ₂ F₁ (-m. a + m;c; x) = +++(c + m) -r (c) dm [x²+m-¹ (1-x)²-c+m] m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If m is a positive integer, then show that
xl-c (1-x)
r(c + m)
2F1 (-m, a + m; c; x ) =
oved
-r (c) dm [x²+m-1 (1-x)²-c+m]
r(c)
Transcribed Image Text:If m is a positive integer, then show that xl-c (1-x) r(c + m) 2F1 (-m, a + m; c; x ) = oved -r (c) dm [x²+m-1 (1-x)²-c+m] r(c)
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