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Hi;

I was just curious about the taylor series

What would you like to know?

Sabbir wrote:I was just curious about the taylor series

I mean, about the Gamma function -- is it for a particular class?

You can also evaluate the integral numerically.

Sabbir wrote:So,will the taylor series give the same result as the integral's.

So,will the taylor series give the same result as the integral's.

They will give you a (very good) approximation to the integral, yes.May I ask what this is for?

Sorry, I am wrong.

Evaluating it at complex numbers is interesting. Let's try to find Gamma(1+i).

Those get very complicated. One way is with a Taylor series expanded around infinity.

Ok,but it will be helpful to see a complex number example.

There are lots of ways to compute values for the gamma function. For example, this is a useful identity;

Hi;Only certain values yield nice results like that. For say Gamma(10 + 1/3 ) you will have to resort to numerical methods.

Yes,different values and your explanation was clear but other values will make it easier for me to understand the way of approaching

You mean evaluating the gamma function at different values -- 0.75, 0.224, (3+2i), etc.?Was any part of my explanation unclear?

I think if you show me some examples(such as other fractions and complex number)it will be easy for me to understand.