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The summability of formal solutions of functional equations
Published online by Cambridge University Press: 09 April 2009
Extract
In 1923 Nörlund [1] considered the difference equation
and showed that the formal solution of (1)
obtained by iteration, although in general divergent, is in fact Abel summable to a solution of (1). He writes the arbitary constant c as
and thus the “principal solution” of the difference equation is
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- Copyright © Australian Mathematical Society 1967