Results 21 to 30 of about 88,173 (262)
An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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The geometric mean is a Bernstein function [PDF]
, 2013 In the paper, the authors establish, by using Cauchy integral formula in the theory of complex functions, an integral representation for the geometric mean of $n$ positive numbers.
Li, Wen-Hui, Qi, Feng, Zhang, Xiao-Jing
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ON CAUCHY PROBLEM SOLUTION FOR A HARMONIC FUNCTION IN A SIMPLY CONNECTED DOMAIN
Проблемы анализа, 2023 Here we present an investigation of the Cauchy problem solvability for the Laplace equation in a simply connected plane domain. The investigation is reduced to solution of two singular integral equations.
E. A. Shirokova, P. N. Ivanshin
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Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
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Sections of the Generating Series of a Solution to a Difference Equation in a Simplicial Cone
Известия Иркутского государственного университета: Серия "Математика", 2022 We consider a multidimensional difference equation in a simplicial lattice cone with coefficients from a field of characteristic zero and sections of a generating series of a solution to the Cauchy problem for such equations.
A.P. Lyapin, T. Cuchta
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On explicit and numerical solvability of parabolic initial-boundary value problems
Boundary Value Problems, 2006 A homogeneous boundary condition is constructed for the parabolic equation in an arbitrary cylindrical domain ( being a bounded domain, and being the identity operator and the Laplacian) which generates an initial-boundary value problem with an ...
Lepsky Olga, Kozhevnikov Alexander
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Note on a -Contour Integral Formula of Gasper-Rahman
Abstract and Applied Analysis, 2013 We use the -Chu-Vandermonde formula and transformation technique to derive a more general -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial.
Jian-Ping Fang
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Truncated V-fractional Taylor's Formula with Applications
Trends in Computational and Applied Mathematics, 2018 In this paper, we present and prove a new truncated V-fractional Taylor's formula using the truncated V-fractional variation of constants formula. In this sense, we present the truncated V-fractional Taylor's remainder by means of V-fractional integral ...
José Vanterler da Costa Sousa +1 more
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Monogenic functions and harmonic vectors
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We consider special topological vector spaces with a commutative multiplication for some of elements of the spaces and monogenic functions taking values in these spaces.
Sergiy Plaksa
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A Further Generalization of the General Polynomial Transform and its Basic Characteristics and Applications [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 In this article , we developed the general polynomial transform into a new transform ( Ahmad - Emad - Murat transform ) , which was expanded by writing a general formula of the Kernel function K ( x , t ) .
Ahmad Issa, Emad Kuffi, Murat Duz
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