To simplify the writing, we take $a=0$ and omit the subscripts $a$.
This simplifies to $f=g$ for $x=1$.
For this choice of $\alpha,\beta$ and with $u=z=s$, the expression (5.3) simplifies greatly.
It simplifies the argument, and causes no loss of generality, to assume ......
This assumption is useful for simplifying proofs.
Neither is the problem simplified by assuming $f=g$.
See the simplified account in [2, Section 4].
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