How to use a handle to define a piecewise binary function

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How to use a handle to define a piecewise binary function that can express the definition of the following expression
1.PNG
The code is as follows
function zfunction=name(q,z)
if q=0;
zfunction=(n0^(1/2)*cosh(m0*z));
else
zfunction=(nq^(1/2)*cos(mq*z));
end

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R2014a

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