PLOTTING OF MITTAG-LEFFLER FUNCTION- AFUNCTION DEFINED IN TERMS OF AN INFINITE SERIES

Please can someone help me find out what is wrong with the code below: % plotting of the ML function k=0:100; alpha=0.5; t=0:100; ML = sum((t.^alpha*k)/(Gamma(0.5*k + 1))); plot(t, ML)

I AM GETTING AN ERROR MESSAGE:"Error using mtime, inner matrix dimensions must agree.s"

[Walter Roberson]

Is there exactly one k for each t, or should each t be used with all of the k, thus producing a 101 x 101 matrix (at least temporarily) ?

[Chuzymatics Chuzymatics]

Each k is meant to be used with all the t. I've tried the (.*) operation which is element-wise multiplication but the error message was even more embarrassing.

Answer 1

[Walter Roberson]

Your t is a vector and you are requesting that (a power of) it be matrix multipled ("*" operation) with another vector, k. Matrix multiplication requires that the last dimension of the first matrix be the same as the first dimension of the second matrix.

If you want the multiplication to occur element-by-element, then use .* instead of *

Caution: also look at ./ instead of /

[Walter Roberson]

If each k is meant to be used with all of the t, have a look at ndgrid() as a way of forming all combinations of k and t.