Results 11 to 20 of about 2,786,755 (294)
An Integral Representation of the Logarithmic Function with Applications in Information Theory [PDF]
Entropy, 2019 We explore a well-known integral representation of the logarithmic function, and demonstrate its usefulness in obtaining compact, easily computable exact formulas for quantities that involve expectations and higher moments of the logarithm of a positive ...
Neri Merhav, Igal Sason
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On Integral Representation of First Kind Bessel Function [PDF]
, 2004 A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of first kind.
Draščić, Biserka, Pogány, Tibor K
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Mathematics, 2020 The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva +3 more
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Integral representation of moderate cohomology [PDF]
, 2021 We make the classical Dickenstein–Sessa canonical representation in local moderate cohomology explicit by an integral formula.
Kalm, Håkan Samuelsson +4 more
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Corrigendum to “Operators with an integral representation”
Proceedings of the American Mathematical Society, 2020 We make an observation that may clarify the main definition from our paper [Proc. Amer. Math. Soc. 144 (2016), pp. 5275–5290].
R. Cilia, J. M. Gutiérrez
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Research of the Relationship of the Integral Characteristics of the Representation
Психологическая наука и образование (2007. Online), 2015 The article raises the problem of representation, indicates that the multidimensionality, diversity of representation as a mental phenomenon requires consideration in different coordinate systems.
Peskov V.P.,
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An Integral Representation of the Relative Entropy [PDF]
Entropy, 2012 Recently the identity of de Bruijn type between the relative entropy and the relative Fisher information with the reference moving has been unveiled by Verdú via MMSE in estimation theory. In this paper, we shall give another proof of this identity in more direct way that the derivative is calculated by applying integrations by part with the heat ...
Hirata, Miku +2 more
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On the two variables κ-Appell hypergeometric matrix functions
Applied Mathematics in Science and Engineering, 2023 This work aims to introduce [Formula: see text]-Appell hypergeometric matrix functions [Formula: see text] and [Formula: see text], where [Formula: see text].
Muneera Abdullah Qadha +2 more
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Integral representation with respect to fractional Brownian motion under a log-Hölder assumption
Modern Stochastics: Theory and Applications, 2015 We show that if a random variable is the final value of an adapted log-Hölder continuous process, then it can be represented as a stochastic integral with respect to a fractional Brownian motion with adapted integrand.
Taras Shalaiko, Georgiy Shevchenko
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Mathematics, 2022 Given real parameters a,b,c and integer shifts n1,n2,m, we consider the ratio R(z)=2F1(a+n1,b+n2;c+m;z)/2F1(a,b;c;z) of the Gauss hypergeometric functions.
Alexander Dyachenko, Dmitrii Karp
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