Cauchy–Riemann Operators in Octonionic Analysis
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0826-2
Abstract: In this paper we first recall the definition of the octonion algebra and its algebraic properties. We derive the so called $$e_4$$e4-calculus and using it we obtain the list of generalized Cauchy–Riemann systems for octonionic… read more here.
Keywords: riemann operators; cauchy riemann; operators octonionic; octonionic analysis ... See more keywords
Quantitative Immersability of Riemann Metrics and the Infinite Hierarchy of Prestrained Shell Models
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01500-y
Abstract: We propose results that relate the following two contexts: (i) Given a Riemann metric G on $$\Omega ^1=\omega \times (-\frac{1}{2}, \frac{1}{2})$$ Ω 1 = ω × ( - 1 2 , 1 2 ) ,… read more here.
Keywords: omega omega; metrics infinite; quantitative immersability; riemann ... See more keywords
Enumerating linear systems on graphs
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DOI: 10.1007/s00209-020-02473-0
Abstract: The divisor theory of graphs views a finite connected graph $G$ as a discrete version of a Riemann surface. Divisors on $G$ are formal integral combinations of the vertices of $G$, and linear equivalence of… read more here.
Keywords: systems graphs; enumerating linear; linear systems; complete linear ... See more keywords
Finite gap integration of the derivative nonlinear Schrödinger equation: A Riemann–Hilbert method
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DOI: 10.1016/j.physd.2019.132213
Abstract: Abstract In this paper we retrieve finite gap solutions of the Gerdjikov–Ivanov type derivative nonlinear Schrodinger equation by using the algebro-geometric method and the Riemann–Hilbert method. We show that the Baker–Akhiezer function of the derivative… read more here.
Keywords: riemann hilbert; derivative nonlinear; method; equation ... See more keywords
Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces
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DOI: 10.1017/etds.2018.143
Abstract: We study Lagrange spectra at cusps of finite area Riemann surfaces. These spectra are penetration spectra that describe the asymptotic depths of penetration of geodesics in the cusps. Their study is in particular motivated by… read more here.
Keywords: lagrange spectra; spectra cusps; riemann surfaces; hall rays ... See more keywords
Riemann–Hilbert problem for the Cauchy–Riemann operator in lens and lune
Sign Up to like & getrecommendations! Published in 2017 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2016.1244189
Abstract: Abstract This article is devoted to study the solvability of the Riemann–Hilbert problem, with arbitrary index, for the Cauchy–Riemann operator in a lens and two complementary lunes. We generalize the corresponding results obtained by Begehr… read more here.
Keywords: riemann hilbert; cauchy riemann; hilbert problem; operator lens ... See more keywords
On the development of a rotated-hybrid HLL/HLLC approximate Riemann solver for relativistic hydrodynamics
Sign Up to like & getrecommendations! Published in 2020 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/staa1648
Abstract: This work presents the development of a rotated-hybrid Riemann solver for solving relativistic hydrodynamics (RHD) problems with the hybridization of the HLL and HLLC (or Rusanov and HLLC) approximate Riemann solvers. A standalone application of… read more here.
Keywords: rotated hybrid; hydrodynamics; hll hllc; riemann solver ... See more keywords
The one-dimensional Riemann problem on an elliptic curve
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617010114
Abstract: A one-dimensional generalization of the Riemann–Hilbert problem from the Riemann sphere to an elliptic curve is considered. A criterion for its positive solvability is obtained and the explicit form of all possible solutions is found.… read more here.
Keywords: dimensional riemann; problem; one dimensional; elliptic curve ... See more keywords
Some Korovkin-Type Approximation Theorems Associated with a Certain Deferred Weighted Statistical Riemann-Integrable Sequence of Functions
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DOI: 10.3390/axioms11030128
Abstract: Here, in this article, we introduce and systematically investigate the ideas of deferred weighted statistical Riemann integrability and statistical deferred weighted Riemann summability for sequences of functions. We begin by proving an inclusion theorem that… read more here.
Keywords: deferred weighted; weighted statistical; korovkin type; riemann ... See more keywords
On algebraic differential equations of gamma function and Riemann zeta function
Sign Up to like & getrecommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4455
Abstract: Abstract. Due to Voronin’s universality theorem and Riemann–von Mangoldt formula, this paper concerns the problem of algebraic differential independence between the gamma function Γ and the function f(ζ), where ζ is the Riemann zeta function… read more here.
Keywords: gamma function; algebraic differential; riemann; riemann zeta ... See more keywords