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Ted123
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Homework Statement
The Gamma and Beta integrals are defined respectively as
[tex]\Gamma (z) = \int^{\infty}_0 t^{z-1} e^{-t}\;dt[/tex]
[tex]B(p,q) = \int^1_0 t^{p-1} (1-t)^{q-1}\;dt.[/tex]
Determine for what values of the complex parameters z, p, q the integrals converge absolutely and explain why.
The Attempt at a Solution
How would I do this? Is the answer: [tex]\text{Re}(z) > 0,\;p,\,q>0\;?[/tex]
If so, how do I show it and explain why?
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