# II B.Tech I Semester Regular Examinations, November 2008

**Tutor description**

1. (a) Show that yq − 1 (log y )p −1 dy = Γ(p) q p where p>0, q>0. (b) Prove that β(m , 1 ) = 22m − 1 β(m , m ) 2. (a) Prove that the function f(z) = u + i v , where f (z) = x (1+i) + y 2 (1−i) , z = 0 and f(0) = 0 is continuous and that Cauchy’s Riemann equations are satisﬁed

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