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Use the following information to solve the first two questions. Gamma function r(a)=√₁²-¹. e In particular, for integer a ≥ 1 Gamma function's value is I'(a) = (a - 1)! Beta Function -1. (10 points) Evaluate B(a,b) = √' uª−¹ . (1 – u)b-¹ du where a>0 and b>0,. Relation between Gamma function and Beta function .e-" du B (a, b) = C г(а).г(b) r(a+b) -4x [x².etdx. K

Use the following information to solve the first two questions. Gamma function r(a)=√₁²-¹. e In particular, for integer a ≥ 1 Gamma function's value is I'(a) = (a - 1)! Beta Function -1. (10 points) Evaluate B(a,b) = √' uª−¹ . (1 – u)b-¹ du where a>0 and b>0,. Relation between Gamma function and Beta function .e-" du B (a, b) = C г(а).г(b) r(a+b) -4x [x².etdx. K

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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Use the following information to solve the first two questions. Gamma function r(a) = ²₁-¹₁e" du In particular, for integer a ≥ 1 Gamma function's value is I'(a) = (a - 1)! Beta Function where a>0 and b>0,. B(a,b) = √' uª-¹ . (1 – u)b-¹ du Relation between Gamma function and Beta function -1. (10 points) Evaluate B(a,b) = г(а).г(b) [(a+b) -4x [x².etdx. C 2
Transcribed Image Text:Use the following information to solve the first two questions. Gamma function r(a) = ²₁-¹₁e" du In particular, for integer a ≥ 1 Gamma function's value is I'(a) = (a - 1)! Beta Function where a>0 and b>0,. B(a,b) = √' uª-¹ . (1 – u)b-¹ du Relation between Gamma function and Beta function -1. (10 points) Evaluate B(a,b) = г(а).г(b) [(a+b) -4x [x².etdx. C 2
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