Results 21 to 30 of about 1,740,938 (274)
Journal of Mathematics, 2021 The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where ...
Wiem Gadri
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On composition of formal power series
International Journal of Mathematics and Mathematical Sciences, 2002 Given a formal power series g(x)=b0+b1x+b2x2+⋯ and a nonunit f(x)=a1x+a2x2+⋯, it is well known that the composition of g with f, g(f(x)), is a formal power series.
Xiao-Xiong Gan, Nathaniel Knox
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On formal power series over topological algebras
Extracta Mathematicae, 2022 We present a general survey on formal power series over topological algebras, along with some perspectives which are not easily found in the literature.
Martin Weigt, I. Zarakas
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Convergence of a formal power series and Gelfond-Leont’ev derivatives [PDF]
Математичні Студії, 2011 Given a formal power series, we establish conditions on the formal power seriess under which the series represents a function analytic in the disk {z:|z|≤R},R∈(0,+∞]. We also give a survey of well-know results for the case R=+∞.
S. I. Fedynyak, M. M. Sheremeta
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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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Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups [PDF]
, 2006 For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs ...
A. Hashimoto +13 more
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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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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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