I am using sinc interpolation for complex sinusoid. It is working fine for real part, but the imaginary part seems inverted.
t1=0:pi/10:2*pi;       % sample points
s1=exp(1i*t1);         % sampled signal
figure(1),subplot 211, plot(t1,real(s1),'o');
subplot 212, plot(t1,imag(s1),'o');
t2=linspace(0,2*pi,100);   % interpolation points, a total of 100.
[T2,T1]=ndgrid(t2,t1);
s2=sinc((T2-T1)*10/pi)*s1'; 
figure(1),subplot 211, hold on, plot(t2,real(s2),'.');
subplot 212, hold on, plot(t2,imag(s2),'.');

 
    