Results 21 to 30 of about 87,489 (268)

Derived recollements and generalised AR formulas [PDF]

open access: yesJournal of Pure and Applied Algebra, 2019
The Defect Recollement, Restriction Recollement, Auslander-Gruson-Jensen Recollement, and others, are shown to be instances of a general construction using derived functors and methods from stable module theory. The right derived functors $\textsf{W}_k:=R_k(\hspace{0.05cm}\underline{\ \ }\hspace{0.1cm} )^*$ are computed and it is shown that the functor
Dean, Samuel, Russell, Jeremy
openaire   +5 more sources

New Fractional Cancer Mathematical Model via IL-10 Cytokine and Anti-PD-L1 Inhibitor

open access: yesFractal and Fractional, 2023
In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering a dose of a drug containing anti-PD-L1 and IL-10 with the Caputo and Atangana–Baleanu derivative in the Caputo sense (ABC).
Esmehan Uçar, Necati Özdemir
doaj   +1 more source

Analogues of Jacobi’s derivative formula [PDF]

open access: yesThe Ramanujan Journal, 2015
In this paper, we obtain analogues of Jacobi's derivative formula in terms of the theta constants with rational characteristics. For this purpose, we use the arithmetic formulas of the number of representations of a natural number $n,\,\,(n=1,2,\ldots)$ as the sum of two squares, or the sum of a square and twice a square.
openaire   +3 more sources

Generalization of the formula of Faa di Bruno for a composite function with a vector argument

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
The paper presents a new explicit formula for the nth total derivative of a composite function with a vector argument. The well-known formula of Faa di Bruno gives an expression for the nth derivative of a composite function with a scalar argument.
Rumen L. Mishkov
doaj   +1 more source

Derivative polynomials and closed-form higher derivative formulae [PDF]

open access: yesApplied Mathematics and Computation, 2009
In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions.
openaire   +2 more sources

Quantum Information Entropy for a Hyperbolic Double Well Potential in the Fractional Schrödinger Equation

open access: yesEntropy, 2023
In this study, we investigate the position and momentum Shannon entropy, denoted as Sx and Sp, respectively, in the context of the fractional Schrödinger equation (FSE) for a hyperbolic double well potential (HDWP).
R. Santana-Carrillo   +3 more
doaj   +1 more source

Deriving Auslander's formula

open access: yesDocumenta Mathematica, 2015
Auslander's formula shows that any abelian category \mathsf C is equivalent to the category of coherent functors on \mathsf C modulo the Serre subcategory of all ...
openaire   +3 more sources

Caputo-Fabrizio approach to numerical fractional derivatives

open access: yesBibechana, 2023
Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
doaj   +3 more sources

Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

open access: yesFractal and Fractional, 2019
In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
doaj   +1 more source

Two generalizations of Jacobi’s derivative formula [PDF]

open access: yesMathematical Research Letters, 2005
final version, to ...
Grushevsky, Samuel   +1 more
openaire   +2 more sources

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