Catalan's constant

I was working further on the complex function of mine.

I developed an expression. I tried it on Wolfram Alpha and the result show a term with Catalan's constant. It is indeed a privilege to get Catalan's constant in my expression.

Catalan's constant was first observed by Euler. However Charles Catalan did a lot of expressions and the constant is named after him. 

Below is the expression I made