Výsledky vyhľadávania - Analytic continuation of functions of one complex variable

Analytic continuation of one variable power series by interpolating its coefficients Autor Mkrtchyan, A. J.

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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z) Autor Antonova, Tamara, Dmytryshyn, Roman, Goran, Vitaliy

“…The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence…”
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Numerical analytic continuation Autor Trefethen, Lloyd N.

“…Let f be an analytic function on a simply-connected compact continuum E of the complex z -plane…”
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On the Analytic Extension of Lauricella–Saran’s Hypergeometric Function FK to Symmetric Domains Autor Dmytryshyn, Roman, Goran, Vitaliy

“…In this paper, we consider the representation and extension of the analytic functions of three variables by special families of functions, namely branched continued fractions…”
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Analytic Continuation of Diagonals of Laurent Series for Rational Functions Autor Pochekutov, Dmitry Yu

“…We describe branch points of complete q-diagonals of Laurent series for rational functions in several complex variables in terms of the logarithmic Gauss mapping…”
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Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems Autor Lazzarini, Laurent, Marco, Jean-Pierre, Sauzin, David

“…A wandering domain for a diffeomorphism We first prove that the measure (or the capacity) of these wandering domains is exponentially small, with an upper…”
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Analytic Continuation of Eigenvalues of a Quartic Oscillator Autor Eremenko, Alexandre, Gabrielov, Andrei

“… x 2 and study analytic continuation of eigenvalues, as functions of parameter α . We prove several properties of this analytic continuation conjectured by Bender, Wu, Loeffel and Martin. 1…”
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The -product of domains in several complex variables Autor Zając, Sylwester

“… (or a non-decreasing union of such ones), we establish a geometric relation between $ D*G $ D ∗ G and another domain…”
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Complex analysis : a functional analytic approach Autor Haslinger, Friedrich

“…In this textbook, a concise approach to complex analysis of one and several variables…”
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Finite difference formulas in the complex plane Autor Fornberg, Bengt

“…Among general functions of two variables f ( x , y ), analytic functions f ( z ) with z = x + i y form a very important special case…”
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Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent Autor Guillera, Jesús, Sondow, Jonathan

“… The main tools are analytic continuations of Lerch’s function, including Hasse’s series. We also use…”
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Positive Definite Matrices Autor Bhatia, Rajendra

“…This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in…”
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A liquid inclusion having an n-fold axis of symmetry in an infinite isotropic elastic matrix Autor Wang, Xu, Schiavone, Peter

“… to uniform remote hydrostatic stresses. A closed-form solution is derived using Muskhelishvili’s complex variable formulation, a four-term conformal mapping function and the application of analytic continuation…”
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Formulas for Computing the Lauricella Function in the Case of Crowding of Variables Autor Bezrodnykh, S. I.

“…For the Lauricella function , which is a hypergeometric function of several complex variables , analytic continuation formulas are constructed that correspond to the intersection of an arbitrary…”
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Analytic continuation of black hole entropy in Loop Quantum Gravity Autor Jibril, Ben Achour, Mouchet, Amaury, Noui, Karim

“…A bstract We define the analytic continuation of the number of black hole microstates in Loop Quantum Gravity to complex values of the Barbero-Immirzi parameter γ…”
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Analytic continuation of the Appell function F1 and integration of the associated system of equations in the logarithmic case Autor Bezrodnykh, S. I.

“…The Appell function F 1 (i.e., a generalized hypergeometric function of two complex variables…”
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Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons Autor Bezrodnykh, S. I.

“…This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables…”
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Quantum Monte Carlo estimation of complex-time correlations for the study of the ground-state dynamic structure function Autor Rota, R, Casulleras, J, Mazzanti, F, Boronat, J

“… The key point of the method is the consideration of time as a complex variable whose phase δ…”
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Some problems of unlikely intersections in arithmetic and geometry (Annals of mathematics studies number 181) Autor Zannier, Umberto

“…This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties…”
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Analytic Continuation of Generalized Trigonometric Functions Autor Ding, Pisheng

“…Via a unified geometric approach, a class of generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they…”
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