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The neutrosophic differentials calculus [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
the purpose of this article is to study the neutrosophic differentials and rules of the neutrosophic derivative, Where the neutrosophic differentiable is defined, and properties of neutrosophic differentiation are introduced, where we discussed how to ...
Yaser Ahmad Alhasan
doaj   +1 more source

Logarithmic derivations associated to line arrangements [PDF]

open access: yesJournal of Algebra, 2021
In this paper we give full classification of rank 3 line arrangements in $\mathbb P^2$ (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. The classification presents their defining polynomials, up to a change of variables, with their corresponding affine pictures.
Burity, Ricardo, Tohǎneanu, Ştefan O.
openaire   +2 more sources

RATIONAL APPROXIMATIONS OF LIPSCHITZFUNCTIONS FROM THE HARDY CLASS ON THE LINE

open access: yesПроблемы анализа, 2021
We study a rate of uniform approximations on the realline of summable Lipschitz functions f having a summable Hilbert transform H f by normalized logarithmic derivatives of rational functions.
M. A. Komarov
doaj   +1 more source

Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions

open access: yesCumhuriyet Science Journal, 2022
In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
doaj   +1 more source

DERIVED LOGARITHMIC GEOMETRY I [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2014
In order to develop the foundations of derived logarithmic geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log-étale maps, and use them to define derived log stacks.
Sagave, S.   +3 more
openaire   +4 more sources

Higher-order regularity in local and nonlocal quantum gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections.
Nicolò Burzillà   +3 more
doaj   +1 more source

On the Asymptotics and Distribution of Values of the Jacobi Theta Functions and the Estimate of the Type of the Weierstrass Sigma Functions

open access: yesAxioms, 2021
A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
doaj   +1 more source

Logarithmic derivatives of Artin -functions [PDF]

open access: yesCompositio Mathematica, 2013
AbstractLet $K$ be a number field of degree $n$, and let $d_K$ be its discriminant. Then, under the Artin conjecture, the generalized Riemann hypothesis and a certain zero-density hypothesis, we show that the upper and lower bounds of the logarithmic derivatives of Artin $L$-functions attached to $K$ at $s=1$ are $\log \log |d_K|$ and $-(n-1) \log \log
Cho, Peter J., Kim, Henry H.
openaire   +2 more sources

Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities

open access: yesAbstract and Applied Analysis, 2023
We investigate a family of nonlinear partial differential equations which are singularly perturbed in a complex parameter ϵ and singular in a complex time variable t at the origin. These equations combine differential operators of Fuchsian type in time t
Stéphane Malek
doaj   +1 more source

Fractional Scale Calculus: Hadamard vs. Liouville

open access: yesFractal and Fractional, 2023
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced.
Manuel D. Ortigueira, Gary W. Bohannan
doaj   +1 more source

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