Results 1 to 10 of about 130,034 (274)
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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The third Cauchy-Fantappie formula of Leray
Michigan Mathematical Journal, 2002 We study the third Cauchy-Fantappie formula, an integral representation formula for holomorphic functions on a domain in affine space, presented by Jean Leray in the third paper of his famous series "Probleme de Cauchy", published in 1959.
Joita, Cezar, Larusson, Finnur
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On Principal Fuzzy Metric Spaces
Mathematics, 2022 In this paper, we deal with the notion of fuzzy metric space (X,M,∗), or simply X, due to George and Veeramani. It is well known that such fuzzy metric spaces, in general, are not completable and also that there exist p-Cauchy sequences which are not ...
Valentín Gregori +3 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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On Cauchy–Pompeiu’s Operator in Octant Ring
Journal of Mathematics, 2022 In this study, we have determined Cauchy–Pompeiu representation formula in octant unit ring R4 by modulation the main Cauchy–Pompeiu representation; this modulation was obtained by applying the parqueting-reflection method.
Hasan Baddour, Anas Kar
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Some Generalizations of the Jensen-Type Inequalities with Applications
Axioms, 2022 Motivated by some results about reverses of the Jensen inequality for positive measure, in this paper we give generalizations of those results for real Stieltjes measure dλ which is not necessarily positive using several Green functions.
Mirna Rodić
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The Riemann problem on a ray for generalized analytic functions with a singular line [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on a ray for a generalized Cauchy – Riemann equation with a singular coefficient.
Shabalin, Pavel Leonidovich +1 more
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METODE ALTERNATIF DALAM MENENTUKAN SOLUSI PARTIKULAR PERSAMAAN EULER-CAUCHY
Barekeng, 2021 Euler-Cauchy equation is the typical example of a linear ordinary differential equation with variable coefficients. In this paper, we apply the alternative method to determine the particular solution of Euler-Cauchy nonhomogenous with polynomial and ...
Mariatul Kiftiah +2 more
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Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators
Fractal and Fractional, 2023 The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov +2 more
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Cauchy formula and the character ring
European Physical Journal C: Particles and Fields, 2019 Cauchy summation formula plays a central role in application of character calculus to many problems, from AGT-implied Nekrasov decomposition of conformal blocks to topological-vertex decompositions of link invariants.
A. Morozov
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