Search Results - Analytic continuation of functions of one complex variable

Analytic continuation of one variable power series by interpolating its coefficients by 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) by 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 by 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 by 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 by 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 by 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 by 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 by 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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Finite difference formulas in the complex plane by 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 by 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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A liquid inclusion having an n-fold axis of symmetry in an infinite isotropic elastic matrix by 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 by 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 by 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 by 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 by 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 by 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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Complex analysis : a functional analytic approach by Haslinger, Friedrich

“…In this textbook, a concise approach to complex analysis of one and several variables…”
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Analytic Continuation of Generalized Trigonometric Functions by 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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Positive Definite Matrices by 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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Riemann surface of the Riemann zeta function by Ivashkovich, S.

“…∞ one gets the usual Riemann zeta function. Our goal in this paper is to study the meromorphic continuation of ζ(b,z…”
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