19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

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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Urgent ..special function (handwritten)

19. Show that (for n 0, 1, 2, ..)
(c - b)n
(a) F(-n, b; c; 1) =
(c)n
In problems 1 to 8, compare series to deduce the result.
1. 1=F(0, b; c;x)
Transcribed Image Text:19. Show that (for n 0, 1, 2, ..) (c - b)n (a) F(-n, b; c; 1) = (c)n In problems 1 to 8, compare series to deduce the result. 1. 1=F(0, b; c;x)
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