Summation of a Gamma series

I want to plot(x,y) of a function which consists of a gamma function inside a summation.

How do i do that ?

Answer 1

[Dyuman Joshi]

This requires Symbolic toolbox -

%Defining symbolic variables
syms x n
%summation using symsum()
out = symsum(ExpressionToBeSummed, n, 0, Inf)

You will obtain the sum in terms of the Hypergeometric function - hypergeom

%define final expression
y = 2*exp(-x^2)*out/sqrt(sym(pi))

Use fplot to plot the function y(x)