Suchergebnisse - Analytic continuation of functions of one complex variable
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Analytic continuation of one variable power series by interpolating its coefficients
ISSN: 1747-6933, 1747-6941Veröffentlicht: 05.05.2025Veröffentlicht in Complex variables and elliptic equations (05.05.2025)Volltext
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.11.2023Veröffentlicht in Mathematics (Basel) (01.11.2023)“… 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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3
Numerical analytic continuation
ISSN: 0916-7005, 1868-937XVeröffentlicht: Tokyo Springer Japan 01.09.2023Veröffentlicht in Japan journal of industrial and applied mathematics (01.09.2023)“… 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
ISSN: 2073-8994, 2073-8994Veröffentlicht: Basel MDPI AG 01.02.2024Veröffentlicht in Symmetry (Basel) (01.02.2024)“… 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
ISSN: 1997-1397, 2313-6022Veröffentlicht: Krasnoyarsk Siberian Federal University 01.01.2021Veröffentlicht in Journal of Siberian Federal University. Mathematics & Physics (01.01.2021)“… 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
ISBN: 9781470434922, 147043492XISSN: 0065-9266, 1947-6221Veröffentlicht: Providence, Rhode Island American Mathematical Society 2019“… 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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7
Analytic Continuation of Eigenvalues of a Quartic Oscillator
ISSN: 0010-3616, 1432-0916Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.04.2009Veröffentlicht in Communications in mathematical physics (01.04.2009)“… 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
ISSN: 1747-6933, 1747-6941Veröffentlicht: Colchester Taylor & Francis 02.01.2024Veröffentlicht in Complex variables and elliptic equations (02.01.2024)“… (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
ISBN: 3110417235, 9783110417234Veröffentlicht: Berlin De Gruyter 2018“… In this textbook, a concise approach to complex analysis of one and several variables …”
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10
Finite difference formulas in the complex plane
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer US 01.07.2022Veröffentlicht in Numerical algorithms (01.07.2022)“… 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
ISSN: 1382-4090, 1572-9303Veröffentlicht: Boston Springer US 01.08.2008Veröffentlicht in The Ramanujan journal (01.08.2008)“… The main tools are analytic continuations of Lerch’s function, including Hasse’s series. We also use …”
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Positive Definite Matrices
ISBN: 9780691129181, 0691129185, 0691029185, 0691168253, 9780691168258, 9781400827787, 1400827787Veröffentlicht: Princeton, N.J Princeton University Press 2009“… 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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13
A liquid inclusion having an n-fold axis of symmetry in an infinite isotropic elastic matrix
ISSN: 0935-1175, 1432-0959Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2024Veröffentlicht in Continuum mechanics and thermodynamics (01.01.2024)“… 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
ISSN: 0965-5425, 1555-6662Veröffentlicht: Moscow Pleiades Publishing 01.12.2022Veröffentlicht in Computational mathematics and mathematical physics (01.12.2022)“… 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
ISSN: 1029-8479, 1126-6708, 1029-8479Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2015Veröffentlicht in The journal of high energy physics (01.06.2015)“… 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
ISSN: 0965-5425, 1555-6662Veröffentlicht: Moscow Pleiades Publishing 01.04.2017Veröffentlicht in Computational mathematics and mathematical physics (01.04.2017)“… 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
ISSN: 0965-5425, 1555-6662Veröffentlicht: Moscow Pleiades Publishing 01.11.2023Veröffentlicht in Computational mathematics and mathematical physics (01.11.2023)“… 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
ISSN: 1089-7690Veröffentlicht: United States 21.03.2015Veröffentlicht in The Journal of chemical physics (21.03.2015)“… The key point of the method is the consideration of time as a complex variable whose phase δ …”
Weitere Angaben
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Some problems of unlikely intersections in arithmetic and geometry (Annals of mathematics studies number 181)
ISBN: 9780691153704, 069115371X, 0691153701, 9780691153711, 1400842719, 9781400842711Veröffentlicht: Princeton Princeton University Press 2012“… 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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20
Analytic Continuation of Generalized Trigonometric Functions
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 13.01.2022Veröffentlicht in arXiv.org (13.01.2022)“… 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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