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₂ F₁ ( 1 , ² ; ²³ ; x ² ) = — sin¯¹ x -1 (b) 2 F₁ ( 1 , ¹ ; 23 ;-x²) = -—- tan-¹ X

₂ F₁ ( 1 , ² ; ²³ ; x ² ) = — sin¯¹ x -1 (b) 2 F₁ ( 1 , ¹ ; 23 ;-x²) = -—- tan-¹ X

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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44 Ex. 1. Prove that : 2F ( ½ ‚ ½ ; ³ ; x² ) = ÷ sin¯¹ x } + (a) 24 (6) 2³1 ( = ¹ i ² i-x²) = -— (an²¹1 x ,1 -tan-1 2 X of hypergeometric functi
Transcribed Image Text:44 Ex. 1. Prove that : 2F ( ½ ‚ ½ ; ³ ; x² ) = ÷ sin¯¹ x } + (a) 24 (6) 2³1 ( = ¹ i ² i-x²) = -— (an²¹1 x ,1 -tan-1 2 X of hypergeometric functi
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