Help creating a basic function

Question

Michael Vaughan 2020-9-24

回答： Star Strider 2020-9-24

So I already created the following script:

function [n] = n(x)

syms q

[n]=(q^(x/2)-q^(-x/2))/(q^(1/2)-q^(-1/2))

end

Which is working great!! I now want another function that has 2 inputs, x and y, and then outputs n(x+y+1)

Can somebody help me write this? I'm having trouble figuring this one out

Answer 1

Star Strider 2020-9-24

It is likely easiest to define a third variable, then set that equal to what you want:

function [n] = n(x,y)
z = x+y+1;
syms q
n = (q^(z/2)-q^(-z/2))/(q^(1/2)-q^(-1/2))
end

For:

x = 3;
y = 10;

the result is:

n =
(1/q^7 - q^7)/(1/q^(1/2) - q^(1/2))

.