Results 1 to 10 of about 2,786,755 (294)
On integral representation of thetranslation operator [PDF]
Mathematical Modelling and Analysis, 2012 The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented.
Paulius Miškinis
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Integral Representations of the Catalan Numbers and Their Applications
Mathematics, 2017 In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
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Two Forms of the Integral Representations of the Mittag-Leffler Function
Mathematics, 2020 The integral representation of the two-parameter Mittag-Leffler function E ρ , μ ( z ) is considered in the paper that expresses its value in terms of the contour integral.
Viacheslav Saenko
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Integrality of volumes of representations [PDF]
Mathematische Annalen, 2021 AbstractLetMbe an oriented complete hyperbolicn-manifold of finite volume. Using the definition of volume of a representation previously given by the authors in [3] we show that the volume of a representation$$\rho :\pi _1(M)\rightarrow \mathrm {Isom}^+({{\mathbb {H}}}^n)$$ρ:π1(M)→Isom+(Hn), properly normalized, takes integer values ifnis even and$$\ge
Michelle Bucher +2 more
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Some connections between various subclasses of univalent functions involving Pascal distribution series [PDF]
Journal of Mahani Mathematical Research, 2022 The main object of this paper is to define a new class of univalent functions and two subclasses of this class along with the Pascal distribution associated with convolution and subordination structures. We obtained a number of useful properties such as,
Rohollah Valizadeh +3 more
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Representational change is integral to reasoning
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 Reasoning is the derivation of new knowledge from old. The reasoner must represent both the old and new knowledge. This representation will change as reasoning proceeds. This change will not just be the addition of the new knowledge.
Alan Bundy, Xue Li
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SOME BASIC PROPERTIES OF THE NOISE REINFORCED BROWNIAN MOTION
Barekeng, 2022 Noise reinforced Brownian motion appears as the universal limit of the step reinforced random walk. This article aims to study some basic properties of the noise reinforced Brownian motion.
Herry Pribawanto Suryawan
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Some Useful Integral Representations for Information-Theoretic Analyses
Entropy, 2020 This work is an extension of our earlier article, where a well-known integral representation of the logarithmic function was explored and was accompanied with demonstrations of its usefulness in obtaining compact, easily-calculable, exact formulas for ...
Neri Merhav, Igal Sason
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Вестник Самарского государственного технического университета. Серия: Технические науки, 2021 Using the Fourier transform, integral representations of solutions to boundary value problems of heat conduction and diffusion in a two-phase region with a moving interface are obtained.
Valentin V. Shevelev
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The integration of a Lie algebra representation [PDF]
Pacific Journal of Mathematics, 1968 Let u: G —> A be a differentiable representation of a Lie group into a 6-algebra. The differential u0 = du, of u at the neutral element e of G is a representation of the Lie algebra 9 of G into A. Because a Lie group is locally the union of one-parameter subgroups and since the infinitesimal generator of a differentiable (multiplicative) sub-semi-group
Tits, Jacques, Waelbroeck, Lucien
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