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Solutions of the Functional Equation (f(x))2 - f(x2) = h(x)

Published online by Cambridge University Press:  20 November 2018

I. N. Baker
I. N. Baker*
Affiliation:
University of Alberta and Imperial College of Science London
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In a recent paper [2] Lambek and Moser have introduced the functional equations

1

and

2

in connection with some problems of number theory, in particular in dealing with the sums by pairs of sets of integers. The second may be put into the same form as (1) by the substitutions x = In z, f(ln z) = F(z), h(ln z) = H(z).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 2 , 01 May 1960 , pp. 113 - 120
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Baker, I. N., Zusammensetzungen ganzer Funktionen, Math. Z. 69 (1958), 121-163.Google Scholar
2. Lambek, J.andMoser, L.,On some two-way classifications of integers,Canad. Math. Bull. 2 (1959), 85-89.Google Scholar