I have a integral after convolution where there is a term of $Sin[\pi x]/x$ . I want the final integral in terms of Sinc[x]
function. Is there a way to manipulate the expression so that possible Sin[pi x]/x
gets replaced by Sinc
.
Edit1- Suppose like I get the answer of the integral $$\exp(i2\pi ft)\frac{\sin(\pi k x)}{x} \;$$ I just want to convert to get the final answer in Sinc[x]
. So the final answer that should come is $k\pi\exp(i2\pi ft) \text{Sinc}(\pi k x) \;$.
Also, apart from above is there something in Mathematica like rewrite
(https://in.mathworks.com/help/symbolic/rewrite.html) command in Matlab.
Both like the examples are different. I was just trying to give examples of what I need. I just need whenever there is something like $\sin(k\; x)/x$ where k is a constant then it should get replaced by k*Sinc[x].