Results 31 to 40 of about 455 (156)
Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
We consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
doaj +1 more source
Towards exotic matter and discrete non-abelian symmetries in F-theory
We present a prescription in F-theory for realizing matter in “exotic” representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D superconformal ...
Mirjam Cvetič +2 more
doaj +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space
Considering the Weierstrass data as ( ψ , f , g ) = ( 2 , 1 - z - m , z n ) , we introduce a two-parameter family of Henneberg-type minimal surface that we call H m , n for positive integers ( m , n ) by using the ...
Erhan Güler +2 more
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A note on the generalized Weierstrass representation
8 pages ...
Martina, L. +2 more
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WEIERSTRASS REPRESENTATION OF PERIODIC MINIMAL SURFACES [PDF]
A general algorithm for the construction of infinite periodic minimal surfaces (IPMS) via their Weierstrass function is outlined, enabling parameterisation of known examples, and forming the bases of a systematic search for all such surfaces. For the 'regular' class of IPMS (including the low genus surfaces) the Weierstrass function has a simple form ...
openaire +2 more sources
A Weierstrass type representation for minimal surfaces in Sol [PDF]
The normal Gauss map of a minimal surface in the model space S o l \mathrm {Sol}
Inoguchi, Jun-Ichi, Lee, Sungwook
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Novel Bernstein‐Kantorovich Type Operators
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied.
Peter J. Vassiliou
doaj +1 more source

