expressing the complex function

clear i
syms x t 
U=zeros(1,2,'sym');
A=zeros(1,2,'sym');
series(x,t)=sym(zeros(1,1));
U(1)=exp(i*x);
alpha=1;
for k=1:2
    A(1)=0;
    for r=1:k
        for s=1:r
            A=A+U(s)*U(r-s+1)*U(k-r+1);
        end
    end
    U(k+1)=simplify(i*(gamma(alpha*(k-1)+1)/gamma((alpha*(k))+1))*(sym(1/2)*diff(U(k),x,2)))
end
for k=1:3
    series(x,t)=simplify(series(x,t)+U(k)*power(t,k-1))
end

series i obatin is form of the complex function and want to separte the real and imigimary part of the complex number But the command Re(series) does work . I want to plot the graph of the real part and imaginary part separtely of the series . For that i use the command expand (series) but it is also not working

Answer 1

[Torsten]

Use

syms x t real

instead of

syms x t

Then real(series) and imag(series) will work.

Answer 2

[Walter Roberson]

You can use real() and imag(), but they will not help much.

A problem is that you do not constrain x or t to be real-valued, so real() and imag() are not able to simplify the expressions.

[yogeshwari patel]

U is the complex function of x and t . U(1)= e^(i*x) = cos (x) +i* sin(x) .So how should I define that x is real or imaginary

[yogeshwari patel]

If I replace U(1) by U(1)=cos(x)+i*sin(x). Is it possible to separte the real and imaginary part?

[yogeshwari patel]

U(1)=cos(x)+isin(x) it is showing the error

[Torsten]

syms x t 
U=zeros(1,2,'sym');
U(1)=cos(x)+1i*sin(x)

[yogeshwari patel]

Thanks