Results 31 to 40 of about 565,177 (286)
On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions [PDF]
, 2000 Integral representations are considered of solutions of the inhomogeneous Airy differential equation $w''-z w=\pm1/\pi$. The solutions of these equations are also known as Scorer functions.
Gil, Amparo +2 more
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On a functional equation for the exponential function of a complex variable [PDF]
Glasgow Mathematical Journal, 1971 The following result is well known in the theory of analytic functions; see [1].Theorem A. Suppose that f(z) is an entire function of a complex variable z. Then f(z) satisfies the functional equationwhere z = x + iy (x, y real), if and only if f(z) = aexp(sz), where a is an arbitrary complex constant and s is an arbitrary real constant.
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Discontinuity relations for the AdS(4)/CFT(3) correspondence [PDF]
, 2013 We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive functional relations ...
Cavaglia', Andrea +2 more
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On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
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Families of particles with different masses in PT-symmetric quantum field theory [PDF]
, 2010 An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations
Bender, C. M., Klevansky, S. P.
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Hierarchical Schr\"odinger Equations of Motion for Open Quantum Dynamics [PDF]
, 2018 We rigorously investigate the quantum non-Markovian dissipative dynamics of a system coupled to a harmonic oscillator bath by deriving hierarchical Schrodinger equations of motion (HSEOM) and studying their dynamics.
Nakamura, Kiyoto, Tanimura, Yoshitaka
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Health as a space-time continuum
Journal of Education, Health and Sport, 2018 The purpose of work is to quantify the changes of the organism functional reserves during the successive phases of the human health Space-Time Continuum (STC) on the basis of postulates of reliability complex systems theory.
Anatolii Gozhenko +3 more
doaj +3 more sources
Reflection Principle for the Complex Monge–Ampère Equation and Plurisubharmonic Functions [PDF]
Advances in Applied Clifford Algebras, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetry, Integrability and Geometry: Methods and Applications, 2022 We study the hydrodynamic limits of three kinds of one-dimensional stochastic log-gases known as Dyson's Brownian motion model, its chiral version, and the Bru-Wishart process studied in dynamical random matrix theory. We define the measure-valued processes so that their Cauchy transforms solve the complex Burgers-type equations.
Endo, Taiki +2 more
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Современные информационные технологии и IT-образование, 2021 The transition to Industry 4.0 highlights areas of research that require a qualitative description of a complex system, for example, a cyber-physical one, in the form of an adaptive dynamic model since the systems themselves are subject to change over ...
Alexander Vasilyev +5 more
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