We shall abbreviate the expression (3) to $F(k)$.
For this choice of $\alpha,\beta$ and with $u=z=s$, the expression (5.3) simplifies greatly.
The eventual aim is to obtain a closed form expression for $F$.
How many such expressions are there?
the expression in brackets $\langle$in braces, in parentheses$\rangle$
the rightmost expression [= the last one on the right]
the right-hand side expression
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