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₂ F₁ (a, b; c; x) = r(c) r(b)(c - b) ---- ( - xe di

₂ F₁ (a, b; c; x) = r(c) r(b)(c - b) ---- ( - xe di

Advanced Engineering Mathematics
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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Integral Representation for ₂F₁ : r(c) r(b)(c-b) Jo or, 2 F₁ (a, b; c; x) = 1 B (b, c- where R(c) > R(b) > 0 and ₂ F₁ (a, b ; c; x) = 5) √ ₁ ²b-1 (1-₁)-b-1 (1-x1)-ª de t 5 f₁ pb−1 (1 − 1)⁰−b−¹ (1 − xt)¯ª dt, b) |x|<1.
Transcribed Image Text:Integral Representation for ₂F₁ : r(c) r(b)(c-b) Jo or, 2 F₁ (a, b; c; x) = 1 B (b, c- where R(c) > R(b) > 0 and ₂ F₁ (a, b ; c; x) = 5) √ ₁ ²b-1 (1-₁)-b-1 (1-x1)-ª de t 5 f₁ pb−1 (1 − 1)⁰−b−¹ (1 − xt)¯ª dt, b) |x|<1.
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