Lothar Berg, Manfred Krüppel
Recursions for the Solution of an Integral-Functional Equation
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 58, 101-122(2004)
MSC:
Abstract: In this paper, we continue our considerations
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\$.

Keywords: Integral-functional equation, generating functions, Cantor sets, relations containing polynomials, recursions, directed graphs.