Results 21 to 30 of about 191,132 (268)

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

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, Burcin Simsek, Yilmaz Simsek   +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
doaj   +1 more source

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, Alexandra Măduţa, Diana Otrocol, Ioan Raşa   +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
openaire   +3 more sources

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 , Agnieszka Piliszek   +1 more
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The equality case in some recent convexity inequalities [PDF]

Opuscula Mathematica, 2011
In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities.
Gyula Maksa, Zsolt Páles
doaj   +1 more source

System of delay difference equations with continuous time with lag function between two known functions

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The asymptotic behavior of solutions of the system of difference equations with continuous time and lag function between two known real functions is studied.
Hajnalka Péics, Andrea Rožnjik, Valeria Pinter Krekić, Márta Takács   +3 more
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Some Economic Dynamics Problems for Hybrid Models with Aftereffect

Mathematics, 2020
In this paper, we consider a class of economic dynamics models in the form of linear functional differential systems with continuous and discrete times (hybrid models) that covers many kinds of dynamic models with aftereffect.
Eugene Bravyi, Vladimir Maksimov, Pyotr Simonov   +2 more
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On a Characterization of Exponential and Double Exponential Distributions

Revstat Statistical Journal
Recently, G. Yanev obtained a characterization of the exponential family of distributions in terms of a functional equation for certain mixture densities.
Reza Rastegar, Alexander Roitershtein
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The embedding problem in iteration theory

ESAIM: Proceedings and Surveys, 2014
This is a survey paper on selected topics concerning the embeddability of given mappings in real flows. Particular attention will be paid to the relationship between the problem of the embeddability and functional equations.Let X be a
Zdun Marek Cezary
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