Results 11 to 20 of about 130,034 (274)

Statistical Convergence via q-Calculus and a Korovkin’s Type Approximation Theorem

open access: yesAxioms, 2022
In this paper, we define and study q-statistical limit point, q-statistical cluster point, q-statistically Cauchy, q-strongly Cesàro and statistically C1q-summable sequences.
Mohammad Ayman Mursaleen   +1 more
doaj   +1 more source

Cauchy problem for the system of the general hyperbolic differential equations of the forth order with nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

A foundational theory of an extended Cauchy integral for generalized regulated real-valued functions on

open access: yesJournal of Taibah University for Science, 2023
In this manuscript, we provide a generalization of the Cauchy integral to appropriate families of real-valued functions defined in [Formula: see text]. The results are motivated by a generalization of regulated functions. The foundational theory for this
Jorge E. Macias-Diaz   +1 more
doaj   +1 more source

Multiparameter Quantum Cauchy-Binet Formulas [PDF]

open access: yesAlgebras and Representation Theory, 2020
The quantum Cayley-Hamilton theorem for the generator of the reflection equation algebra has been proven by Pyatov and Saponov, with explicit formulas for the coefficients in the Cayley-Hamilton formula. However, these formulas do not give an \emph{easy} way to compute these coefficients.
openaire   +3 more sources

On the dual variable of the Cauchy stress tensor in isotropic finite hyperelasticity [PDF]

open access: yes, 2007
If the constitutive law linking the second Piola-Kirchhoff stress tensor and the right Cauchy-Green strain tensor derives from a potential, then the Cauchy stress tensor and the logarithm of the left Cauchy-Green strain tensor are linked by a related ...
Blume   +17 more
core   +2 more sources

Introductory clifford analysis [PDF]

open access: yes, 2015
In this chapter an introduction is given to Clifford analysis and the underlying Clifford algebras. The functions under consideration are defined on Euclidean space and take values in the universal real or complex Clifford algebra, the structure and ...
A. Cauchy   +52 more
core   +1 more source

The Cauchy problem for a general hyperbolic differential equation of the n-th order with the nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Cauchy Integral Formula

open access: yesIOP Conference Series: Materials Science and Engineering, 2013
Cauchy-Goursat integral theorem is a pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate the condition(s) under which even though the function is not analytic at a point inside C ...
M Azram, F A M Elfaki
openaire   +1 more source

Nuttall's theorem with analytic weights on algebraic S-contours [PDF]

open access: yes, 2014
Given a function $f$ holomorphic at infinity, the $n$-th diagonal Pad\'e approximant to $f$, denoted by $[n/n]_f$, is a rational function of type $(n,n)$ that has the highest order of contact with $f$ at infinity. Nuttall's theorem provides an asymptotic
Yattselev, Maxim L.
core   +3 more sources

Holomorphy tests based on Cauchy’s integral formula [PDF]

open access: yesPacific Journal of Mathematics, 1995
In this paper, \(X\) is either \(\mathbb{C}\), the open unit disk \(\mathbb{D}\) or the open upper half-plane \(\mathbb{U}\). \(G\) denotes the group \(M(2)\) of rigid motions of \(\mathbb{C}\) in the first case and in the other cases the full group of conformal automorphisms of \(X\). Cauchy's integral formula gives for rectifiable loops \(\Gamma\) in
Cascante, Carmen, Pascuas, Daniel
openaire   +3 more sources

Home - About - Disclaimer - Privacy