
doi: 10.1137/0506019
This paper presents the general solution of the following problem in two forms.Let $f(x,y)$ be defined by the formal power series $f(x,y) = \sum _{m = 0}^\infty \sum _{n = 0}^\infty f_{mn} x^m y^n $ with $f_{00} \ne 0$. If v satisfies $v(x,y) = f(xv^a ,yv^b )$, where a and b are constants, then find the formal power series expansion of $v^c(x,y)$, where c is also a constant.A special case.of this problem, which occurs in a paper by R. A. Handelsman and J. S. Lew [1], has been proposed as a problem to be solved by computer using a symbolic algebra system [2].
Convergence and divergence of infinite limiting processes
Convergence and divergence of infinite limiting processes
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
