Results 31 to 40 of about 223,771 (312)
Analytical and numerical investigation of mixed-type functional differential equations [PDF]
, 2009 NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
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The numerical solution of forward–backward differential equations: Decomposition and related issues [PDF]
, 2010 NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
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Axioms, 2019 The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu +2 more
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Enumerating alternating tree families [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We study two enumeration problems for $\textit{up-down alternating trees}$, i.e., rooted labelled trees $T$, where the labels $ v_1, v_2, v_3, \ldots$ on every path starting at the root of $T$ satisfy $v_1 < v_2 > v_3 < v_4 > \cdots$.
Markus Kuba, Alois Panholzer
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Weyl groups and elliptic solutions of the WDVV equations [PDF]
, 2010 A functional ansatz is developed which gives certain elliptic solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations. This ansatz is based on the elliptic trilogarithm function introduced by Beilinson and Levin. For this to be a solution
Ian A. B. Strachan +2 more
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Inequalities for Information Potentials and Entropies
Mathematics, 2020 We consider a probability distribution p0(x),p1(x),… depending on a real parameter x. The associated information potential is S(x):=∑kpk2(x). The Rényi entropy and the Tsallis entropy of order 2 can be expressed as R(x)=−logS(x) and T(x)=1−S(x).
Ana Maria Acu +3 more
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ON A COMPOSITE FUNCTIONAL EQUATION
Demonstratio Mathematica, 2003 The composite functional equation \[ f(xG(f(x))) = f(x)G(f(x)), \quad x \in \mathbb R_+,\tag{1} \] is considered. \textit{P. Kahlig}, \textit{A. Matkowska} and \textit{J. Matkowski} [Aequationes Math. 52, 260--283 (1996; Zbl 0861.39013)] dealt with the special case: \(G(u) = u^p\). Here the continuous solutions \(f: \mathbb R_+ \to \mathbb R_+\) of (1)
Matkowski, Janusz, Okrzesik, Jolanta
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Independence Characterization for Wishart and Kummer Random Matrices
Revstat Statistical Journal, 2020 We generalize the following univariate characterization of the Kummer and Gamma distributions to the cone of symmetric positive definite matrices: let X and Y be independent, non-degenerate random variables valued in (0,∞), then U = Y /(1 +X) and V = X ...
Bartosz Ko lodziejek +1 more
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Functional equations for zeta functions of groups and rings
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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On Riemann's Functional Equation
The Annals of Mathematics, 1957 constant factor) if it satisfies Riemann's functional equation. This result was placed in an altogether more general setting by Hecke's work [9] on the correspondence between Dirichlet series with given signature (introduced by him), and modular functions. This paper is also concerned with that problem, but from a different approach.
Chandrasekharan, K., Mandelbrojt, Szolem
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