Results 131 to 140 of about 228,694 (166)

Substitution Groups of Formal Power Series

Canadian Journal of Mathematics, 1954
In this paper we are concerned with the group of formal power series of the form,the coefficients being elements of a commutative ring R and the group operation being substitution. Little seems to be known of the properties of groups of this type, except in special cases, although groups of formal power series in several variables with complex ...
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Rational Transformations of Formal Power Series

2001
Formal power series are an extension of formal languages. Recognizable formal power series can be captured by the so-called weighted finite automata, generalizing finite state machines. In this paper, motivated by codings of formal languages, we introduce and investigate two types of transformations for formal power series.
Manfred Droste, Guo-Qiang Zhang 0001
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On n-associative formal power series

Aequationes mathematicae, 2015
In general, a formal power series \(F(x_1,\dots,x_n)\in\mathbb{C}[[x_1,\dots,x_n]]\), can be substituted into a formal power series if and only if \(F(0,\dots,0)=0\), which means that \(\mathrm{ord}(F)\geq 1\). For \(n\geq 3\) consider a formal power series \(F(x_1,\dots,x_n)\in\mathbb{C}[[x_1,\dots,x_n]]\) with \(\mathrm{ord}(F)\geq 1\).
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Lazy multiplication of formal power series

Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97, 1997
For most fast algorithms to manipulate formal power series, a fast multiplication algorithm is essential. If one desires to compute all coe cients of a product of two power series up to a given order, then several e cient algorithms are available, such as fast Fourier multiplication.
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On Formal Power Series Generated by Lindenmayer Systems

J. Autom. Lang. Comb., 2000
To study power series generated by Lindenmayer systems we define L algebraic systems and series over arbitrary commutative semirings. We establish closure and fixed point properties of L algebraic series. We show how the framework of L algebraic series can be used to define D0L, 0L, E0L, DT0L, T0L and ET0L power series.
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Computing with Formal Power Series

ACM Transactions on Mathematical Software, 1975
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Formal power series

ACM SIGSAM Bulletin, 1987
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On Mahler's Classification of Formal Power Series Over a Finite Field

Mathematica Slovaca, 2022
Gülcan Kekeç
exaly  

ON SEMILINEARITY IN FORMAL POWER SERIES

Developments In Language Theory, 2000
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Formal powers and power series

Communications on Pure and Applied Mathematics, 1956
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