Solutions of the Loop Equations of a Class of Generalized Frobenius Manifolds
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DOI: 10.1007/s00220-024-05083-7
Abstract: We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one-dimensional generalized Frobenius manifold, that the… read more here.
Keywords: frobenius manifolds; generalized frobenius; solutions loop; loop equations ... See more keywords
Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis
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DOI: 10.1007/s10955-018-2192-9
Abstract: We study a class of systems whose dynamics are described by generalized Langevin equations with state-dependent coefficients. We find that in the limit, in which all the characteristic time scales vanish at the same rate,… read more here.
Keywords: generalized langevin; homogenization class; class generalized; langevin equations ... See more keywords
On a class of generalized Fermat equations of signature (2,2n,3)
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.06.019
Abstract: Abstract We consider the Diophantine equation 7 x 2 + y 2 n = 4 z 3 . We determine all solutions to this equation for n = 2 , 3 , 4 and 5.… read more here.
Keywords: fermat equations; diophantine equation; equations signature; class generalized ... See more keywords
The quantum non-Markovianity for a special class of generalized Weyl channel
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DOI: 10.1088/1402-4896/adca0b
Abstract: A quantum channel is usually represented as a sum of Kraus operators. The recent study [Phys. Rev. A 98, 032328 (2018)] has shown that applying a perturbation to the Kraus operators in qubit Pauli channels,… read more here.
Keywords: generalized weyl; weyl channel; markovianity; special class ... See more keywords
A class of generalized special Weingarten surfaces
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DOI: 10.1142/s0129167x19500757
Abstract: In [Classes of generalized Weingarten surfaces in the Euclidean 3-space, Adv. Geom. 16(1) (2016) 45–55], the authors study a class of generalized special Weingarten surfaces, where coefficients are functions that depend on the support function… read more here.
Keywords: edsgw surfaces; weingarten surfaces; generalized special; class generalized ... See more keywords
A Class of the Generalized Ramanujan Tau Numbers and Their Associated Partition Functions
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DOI: 10.3390/axioms14060451
Abstract: In this paper, the authors derive some believed-to-be new recursion and explicit formulas for the generalized Ramanujan numbers τs(n)(s∈N∪{−1}), where, as usual, N is the set of positive integers. The authors consider the associated partition… read more here.
Keywords: ramanujan tau; generalized ramanujan; partition functions; associated partition ... See more keywords
On a Class of Generalized Multivariate Hermite-Humbert Polynomials via Generalized Fibonacci Polynomials
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DOI: 10.3390/sym16111415
Abstract: This paper offers a thorough examination of a unified class of Humbert’s polynomials in two variables, extending beyond well-known polynomial families such as Gegenbauer, Humbert, Legendre, Chebyshev, Pincherle, Horadam, Kinnsy, Horadam–Pethe, Djordjević, Gould, Milovanović, Djordjević,… read more here.
Keywords: generalized multivariate; humbert polynomials; multivariate hermite; class ... See more keywords