Transformation of ₂F, : X A x If |x| < 1 and < 1; then: 2³₁ (a, b; c; x) = (1 − x)" ₂ F₁ (a.c-b; c;_=_=-1) 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transformation of ₂F, :
X
15
<
< 1; then:
If |x| < 1 and
X
2F₁ (a, b; c; x) = (1 − x)¯¨º₂ F₁ (a₁c-b;c ; _- = -₁)
2
,
x-1
Transcribed Image Text:Transformation of ₂F, : X 15 < < 1; then: If |x| < 1 and X 2F₁ (a, b; c; x) = (1 − x)¯¨º₂ F₁ (a₁c-b;c ; _- = -₁) 2 , x-1
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