How to write a matlab code for this equation?

Answer 1

[Luca Ferro]

Fi= @(I) ((2*(alpha*beta)^((alpha+beta)/2))/T(alpha)*T(beta))*(I^(alpha+beta))*K*2*sqrt(alpha*beta*I);

if you want to show alpha and beta as symbols in the workspace you can go for something like (see here):

alpha=evalin(symengine,'`α`');

Since you didn't specify anything i interpreted T as a function. You will need to define it as well.

[John D'Errico]

I woud guess that K may also be a function, as putting parens around what follows makes little sense otherwise, and the sqrt(alpha*beta) term might have then been absorbed into a previous term. As well, the 2 would become a 4 in front of the entire expression, combining with the other 2. Even that sqrt(I) term could then be absorbed into a previous term.

For all of those reasons, I am pretty confident that K is in fact a function, unsupplied, but still a function.

[Torsten]

... same for T.

[Luca Ferro]

yeah you are definetly right about K, it is indeed a function for sure, i just didn't notice. This should be correct now:

Fi= @(I) ((2*(alpha*beta)^((alpha+beta)/2))/T(alpha)*T(beta))*(I^(alpha+beta))*K(2*sqrt(alpha*beta*I));

[Walter Roberson]

https://en.m.wikipedia.org/wiki/K-function ? Or is it https://www.mathworks.com/help/matlab/ref/besselk.html ?