Results 31 to 40 of about 977,904 (291)
Integration formulae involving derivatives [PDF]
Mathematics of Computation, 1969 A method, developed by Hammer and Wicke, for deriving high precision integration formulae involving derivatives is modified. It is shown how such formulae may be simply derived in terms of well-known polynomials.
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Thomae’s derivative formulae for trigonal curves [PDF]
Letters in Mathematical Physics, 2019 21 pages, mainly added two references and Remark 3 ...
Enolski, Victor +2 more
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Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
Fractal and Fractional, 2023 An initial value problem for nonlinear fractional differential equations with a tempered Caputo fractional derivative of variable order with respect to another function is studied.
Donal O’Regan +2 more
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An extension of Wolpert’s derivative formula [PDF]
Pacific Journal of Mathematics, 2001 A well known formula, of Wolpert expresses the derivative of length of a geodesic \(\gamma\) on a hyperbolic surface with respect to the Fenchel Nielsen twist about a fixed simple geodesic \(C\) as a sum of the cosines of the intersection angles between the two curves. The author derives an analogous formula for the derivative of the length of \(\gamma\
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Analogues of Jacobi’s derivative formula [PDF]
The 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.
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Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions [PDF]
, 2020 In this paper, we first recall some recent results on polar-analytic functions. Then we establish Mellin analogues of a classical interpolation of Valiron and of a derivative sampling formula. As consequences a new differentiation formula and an identity
Mantellini, Ilaria +7 more
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New Fractional Cancer Mathematical Model via IL-10 Cytokine and Anti-PD-L1 Inhibitor
Fractal 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
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An Intuitive Derivation of Heron's Formula [PDF]
The American Mathematical Monthly, 2004 From elementary geometry we learn that two triangles are congruent if their edges have the same lengths, so it should come as no surprise that the edge lengths of a triangle determine the area of that triangle. On the other hand, the explicit formula for the area of a triangle in terms of its edge lengths, named for Heron of Alexandria (although ...
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Some New Iyengar Type Inequalities [PDF]
, 2001 Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral ...
Qi, Feng +2 more
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Generalization of the formula of Faa di Bruno for a composite function with a vector argument
International 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
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