Search Results - Representation of Analytic Functions of Several Variables

On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function by Fokas, Athanassios S., Lenells, Jonatan

“…We present several formulae for the large…”
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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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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions by Antonova, Tamara, Dmytryshyn, Roman, Kril, Pavlo, Sharyn, Serhii

“…The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions…”
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McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential by Huang, Yi, Sun, Zhe

“…We derive generalizations of McShane’s identity for higher ranked surface group representations by studying a family of mapping class group invariant functions…”
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Spectra of algebras of block-symmetric analytic functions of bounded type by A. Zagorodnyuk, V. V. Kravtsiv

“… properties of algebraic bases of block-symmetric polynomials, intertwining operations on spectra of the algebras and representations of the spectra as a semigroup of analytic functions…”
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On the analytic extension of three ratios of Horn's confluent hypergeometric function $\mathrm{H}_7 by Hladun, V., Rusyn, R., Dmytryshyn, M.

“…In this paper, we consider the extension of the analytic functions of two variables by special families of functions…”
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Automorphic forms and related topics : Building Bridges: 3rd EU/US Summer School and Workshop, Automorphic Forms and Related Topics, July 11-22, 2016, University of Sarajevo, Sarajevo, Bosnia and Herzegovina by EU-US Summer School and Workshop on Automorphic Forms and Related Topics, Anni, Samuele, Jorgenson, Jay, Smajlović, Lejla, Walling, Lynne H.

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Algebras of symmetric holomorphic functions of several complex variables by Aron, Richard M., Falcó, Javier, García, Domingo, Maestre, Manuel

“…Given a proper holomorphic mapping g : Ω ⊆ C n ⟶ Ω ′ ⊆ C n and an algebra of holomorphic functions B (e.g. P ( K ) where K ⊂ Ω…”
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Free Pick functions: Representations, asymptotic behavior and matrix monotonicity in several noncommuting variables by Pascoe, J.E., Tully-Doyle, R.

“…R. Nevanlinna showed that elements of the Pick class, the set of complex analytic functions taking the upper half plane into itself, have certain integral representations which reflect their asymptotic…”
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Representation Theory and Harmonic Analysis on Symmetric Spaces by Christensen, Jens Gerlach, Dann, Susanna, Dawson, Matthew

“…, complex analysis, operator algebras, Lie algebras, special functions, and differential operators…”
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Loewner chains and parametric representation in several complex variables by Graham, Ian, Kohr, Gabriela, Kohr, Mirela

“…∈ B. Moreover, we prove that a mapping f∈ H( B) has parametric representation if and only if there exists a Loewner chain f( z…”
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On the exploring of the new complex and mixed hyperbolic properties of the nonlinear Kairat-II-X models by Wu, Fengxia, Raihen, Md Nurul, Baskonus, Haci Mehmet

“… such as wave stability, energy transfer, and wave-particle interactions. The graphical representations of these solutions, including three-dimensional (3D), two-dimensional (2D…”
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On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H4(a,b;c,d;z1,z2) Ratios by Antonova, Tamara, Dmytryshyn, Roman, Lutsiv, Ilona-Anna, Sharyn, Serhii

“…The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions…”
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Descriptions of Spectra of Algebras of Bounded-Type Block-Symmetric Analytic Functions by Kravtsiv, Viktoriia, Zagorodnyuk, Andriy

“… and characters that can be associated with exponential-type functions of several variables with plane zeros…”
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Fekete and Szegö problem in one and higher dimensions by Xu, Qinghua, Liu, Taishun, Liu, Xiaosong

“…In this paper, we establish the Fekete and Szegö inequality for a class of holomorphic functions in the unit disk, and then we extend this result to a class…”
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On Some Quaternionic Generalized Slice Regular Functions by Cervantes, J. Oscar González

“… of one complex variable. Recently, several global properties of these functions has been found such as a…”
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Analytical representations of inherent structural irregularities in turnout crossing with moveable point by Sun, Xu, Wang, Ping, Chen, Jiayin, Hao, Chaojiang, Xu, Jingmang

“… In this work, for a given nominal turnout, several parameterised single harmonic-shaped functions are selected as analytical representations to describe the inherent structural irregularities…”
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On logic gates with complex numbers by AlMasri, M. W.

“…Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables…”
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Vibrational levels of a generalized Morse potential by Qadeer, Saad, Santis, Garrett D, Stinis, Panos, Xantheas, Sotiris S

“… We present several numerical approaches for solving the vibrational problem of the GMP based on Galerkin methods, namely, the Laguerre Polynomial Method (LPM…”
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Representation and evaluation of the Arrhenius and general temperature integrals by special functions by Aghili, Alireza

“…•The general temperature integral can be expressed by several special functions.•The special function models are more accurate than the numerical integration methods…”
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