Results 21 to 30 of about 210,142 (295)
Ranking and formal power series
Theoretical Computer Science, 1991 The ranking problem for a language \(L\subseteq A^*\) is the following: given w in L, compute the integer n such that w is the n-th element of L for the lexicographic order (u\(\leq v\) if either \(| u|
A. Bertoni, D. Bruschi, M. Goldwurm
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Continuity of Formal Power Series Products in Nonlinear Control Theory [PDF]
, 2022 Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of these formal power series are ...
Palmstrøm, Mathias +5 more
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Formal Group Laws and Chromatic Symmetric Functions of Hypergraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 If $f(x)$ is an invertible power series we may form the symmetric function $f(f^{-1}(x_1)+f^{-1}(x_2)+...)$ which is called a formal group law. We give a number of examples of power series $f(x)$ that are ordinary generating functions for combinatorial ...
Jair Taylor
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Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel
Fractal and Fractional, 2021 In this paper, we consider the Prabhakar fractional logistic differential equation. By using appropriate limit relations, we recover some other logistic differential equations, giving representations of each solution in terms of a formal power series ...
Iván Area, Juan J. Nieto
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Mathematics, 2020 We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
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Approximately Multiplicative Functionals on the Spaces of Formal Power Series
Abstract and Applied Analysis, 2011 We characterize the conditions under which approximately multiplicative functionals are near multiplicative functionals on weighted Hardy spaces.
F. Ershad, S. H. Petroudi
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Method for Obtaining Coefficients of Powers of Bivariate Generating Functions
Mathematics, 2021 In this paper, we study methods for obtaining explicit formulas for the coefficients of generating functions. To solve this problem, we consider the methods that are based on using the powers of generating functions.
Dmitry Kruchinin +2 more
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Journal of Function Spaces, 2021 The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s-numbers and this function space of complex variables, are investigated in this article. Upper bounds for s-numbers
Awad A. Bakery, Mustafa M. Mohammed
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The formal Laplace-Borel transform of Fliess operators and the composition product
International Journal of Mathematics and Mathematical Sciences, 2006 The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide ...
Yaqin Li, W. Steven Gray
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Formal inverses of the generalized Thue-Morse sequences and variations of the Rudin-Shapiro sequence [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A formal inverse of a given automatic sequence (the sequence of coefficients of the composition inverse of its associated formal power series) is also automatic.
Łukasz Merta
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