Results 1 to 10 of about 138,862 (288)
Noncommutative Cauchy integral formula [PDF]
Complex Analysis and Operator Theory, 2016 The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C^1 functions on a real alternative *-algebra.
Ghiloni, Riccardo +2 more
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Cauchy non-integral formulas [PDF]
, 2012 We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Ros\'en.
Rosén, Andreas
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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Journal 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
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Derivative and higher-order Cauchy integral formula of matrix functions
Open Mathematics, 2021 The derivative of a nn-order matrix function on the complex field is usually defined as a n2{n}^{2}-order matrix, which is not suitable for generalizing Cauchy integral formula of matrix functions to its higher-order derivative form. In this paper, a new
Huang Xiaojie, Liu Zhixiu, Wu Chun
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HYPERHOLOMORPHIC FUNCTIONS WITH VALUES IN A MODIFIED FORM OF QUATERNIONS
Проблемы анализа, 2020 We give the definition of hyperholomorphic pseudocomplex functions, i. e., functions with values in a special form of quaternions, and propose the necessary variables, functions, and Dirac operators to describe the Cauchy integral theorem and the ...
Ji Eun Kim
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Integral equation characterization of the Feynman–Kac formula for a regime-switching diffusion
Results in Applied Mathematics, 2020 In this paper, we provide an integral equation characterization of the solution to a Cauchy problem associated to the Feynman–Kac formula for a regime-switching diffusion.
Adriana Ocejo
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Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis [PDF]
, 2013 Recently the basic setting has been established for the development of quaternionic Hermitian Clifford analysis, a theory centred around the simultaneous null solutions, called q-Hermitian monogenic functions, of four Hermitian Dirac operators in a ...
Abreu-Blaya, Ricardo +4 more
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Introductory clifford analysis [PDF]
, 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
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Two special functions, concerning Mittag–Leffler type functions, are considered. The first is the modification of generalized Mittag–Leffler type function, introduced by A. A. Kilbas and M. Saigo; the second is the special case of the first one.
Eugeniy N Ogorodnikov
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