Suchergebnisse - Analytic continuation of functions of one complex variable

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

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.11.2023
    Veröffentlicht 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 …”
    Volltext
    Journal Article
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    Numerical analytic continuation von Trefethen, Lloyd N.

    ISSN: 0916-7005, 1868-937X
    Veröffentlicht: Tokyo Springer Japan 01.09.2023
    Veröffentlicht 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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    Journal Article
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    On the Analytic Extension of Lauricella–Saran’s Hypergeometric Function FK to Symmetric Domains von Dmytryshyn, Roman, Goran, Vitaliy

    ISSN: 2073-8994, 2073-8994
    Veröffentlicht: Basel MDPI AG 01.02.2024
    Veröffentlicht 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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    Journal Article
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    Analytic Continuation of Diagonals of Laurent Series for Rational Functions von Pochekutov, Dmitry Yu

    ISSN: 1997-1397, 2313-6022
    Veröffentlicht: Krasnoyarsk Siberian Federal University 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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    Journal Article
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    Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems von Lazzarini, Laurent, Marco, Jean-Pierre, Sauzin, David

    ISBN: 9781470434922, 147043492X
    ISSN: 0065-9266, 1947-6221
    Veröffentlicht: 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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    E-Book Buch
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    Analytic Continuation of Eigenvalues of a Quartic Oscillator von Eremenko, Alexandre, Gabrielov, Andrei

    ISSN: 0010-3616, 1432-0916
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.04.2009
    Veröffentlicht 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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    Journal Article
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    The -product of domains in several complex variables von Zając, Sylwester

    ISSN: 1747-6933, 1747-6941
    Veröffentlicht: Colchester Taylor & Francis 02.01.2024
    Veröffentlicht 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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    Journal Article
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    Complex analysis : a functional analytic approach von Haslinger, Friedrich

    ISBN: 3110417235, 9783110417234
    Veröffentlicht: Berlin De Gruyter 2018
    “… In this textbook, a concise approach to complex analysis of one and several variables …”
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    E-Book Buch
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    Finite difference formulas in the complex plane von Fornberg, Bengt

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.07.2022
    Veröffentlicht 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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    Journal Article
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    Double integrals and infinite products for some classical constants via analytic continuations of Lerch’s transcendent von Guillera, Jesús, Sondow, Jonathan

    ISSN: 1382-4090, 1572-9303
    Veröffentlicht: Boston Springer US 01.08.2008
    Veröffentlicht in The Ramanujan journal (01.08.2008)
    “… The main tools are analytic continuations of Lerch’s function, including Hasse’s series. We also use …”
    Volltext
    Journal Article
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    Positive Definite Matrices von Bhatia, Rajendra

    ISBN: 9780691129181, 0691129185, 0691029185, 0691168253, 9780691168258, 9781400827787, 1400827787
    Veröffentlicht: 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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    E-Book Buch
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    A liquid inclusion having an n-fold axis of symmetry in an infinite isotropic elastic matrix von Wang, Xu, Schiavone, Peter

    ISSN: 0935-1175, 1432-0959
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2024
    Veröffentlicht 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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    Journal Article
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    Formulas for Computing the Lauricella Function in the Case of Crowding of Variables von Bezrodnykh, S. I.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.12.2022
    Veröffentlicht 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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    Journal Article
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    Analytic continuation of black hole entropy in Loop Quantum Gravity von Jibril, Ben Achour, Mouchet, Amaury, Noui, Karim

    ISSN: 1029-8479, 1126-6708, 1029-8479
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2015
    Veröffentlicht 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 von Bezrodnykh, S. I.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.04.2017
    Veröffentlicht 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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    Journal Article
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    Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons von Bezrodnykh, S. I.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.11.2023
    Veröffentlicht 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 von Rota, R, Casulleras, J, Mazzanti, F, Boronat, J

    ISSN: 1089-7690
    Veröffentlicht: United States 21.03.2015
    Veröffentlicht 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 …”
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    Journal Article
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    Some problems of unlikely intersections in arithmetic and geometry (Annals of mathematics studies number 181) von Zannier, Umberto

    ISBN: 9780691153704, 069115371X, 0691153701, 9780691153711, 1400842719, 9781400842711
    Veröffentlicht: 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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    Analytic Continuation of Generalized Trigonometric Functions von Ding, Pisheng

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 13.01.2022
    Veröffentlicht 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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