Results 21 to 30 of about 228,694 (166)
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 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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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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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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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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Arc Spaces and Rogers-Ramanujan Identities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek +2 more
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Researches in MathematicsWe propose an algorithm for expanding a formal triple power series into a three-dimensional corresponding to this series associated continued fraction, which generalized one of the simplest algorithms for expanding a formal power series into a ...
Kh.Yo. Kuchminska, R.M. Deyneka
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Distances in random Apollonian network structures [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper, we study the distribution of distances in random Apollonian network structures (RANS), a family of graphs which has a one-to-one correspondence with planar ternary trees. Using multivariate generating functions that express all information
Olivier Bodini +2 more
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Convergence of formal power series solutions for some regular Gevrey-type differential equations
Electronic Journal of Differential EquationsIn this article we focus on the formal solutions for some regular Gevrey-type differential equation, with convergence of such solutions being the main point of interest. The attained results are a generalization of the classical result on the convergence
Alberto Lastra +2 more
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On the formal power series of involutory functions [PDF]
Enumerative Combinatorics and Applications, 2023 Alfred Schreiber
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