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(−1)″ xm+¹ dm 1 m+2 2 F₁ F₁ (m + ¹ m + ² ; ₁ ; - 1/2) = (-¹) ² ;1;- 2 2 X m m! dx" A 2 +1

(−1)″ xm+¹ dm 1 m+2 2 F₁ F₁ (m + ¹ m + ² ; ₁ ; - 1/2) = (-¹) ² ;1;- 2 2 X m m! dx" A 2 +1

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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If m is a positive integer and |x| > 1, then show that 2 F₁ (m + ¹ m + ² ; ₁; - - - - - (-¹); (−1)″ xm+¹ dm 1; 2 2 2 X m! dxm 1 A 2 x² +1
Transcribed Image Text:If m is a positive integer and |x| > 1, then show that 2 F₁ (m + ¹ m + ² ; ₁; - - - - - (-¹); (−1)″ xm+¹ dm 1; 2 2 2 X m! dxm 1 A 2 x² +1
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