**MSC:**- 45D05 Volterra integral equations, See also {34A12}
- 39A10 Difference equations, See also {33Dxx}

in \cite{kru-bk1,kru-bk2,kru-bk3} about

a homogeneous integral-functional equation with a parameter

$a>1$. Here we assume that $a\ge2$, disregarding some explicitly

mentioned cases where $a$ can be smaller than 2.

We derive new recursions which allow

to calculate the solution and its derivatives effectively,

and which contain formulas of R. Schnabl \cite{kru-sch}

and W. Volk \cite{kru-vo1} as special cases for $a=2$.