Results 21 to 30 of about 138,862 (288)
Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Universal Journal of Mathematics and Applications, 2020 In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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Cauchy-type integrals in several complex variables [PDF]
, 2013 We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
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, 2021 Σε αυτήν την εργασία παρουσιάζουμε αρκετά αποτελέσματα που αφορούν κυρίως εφαρμογές του θεώρηματος της Κατηγορίας του Baire στη μιγαδική ανάλυση σε μία και στις πολλές μιγαδικές μεταβλητές. Ένα σημαντικό πρόβλημα στη μιγαδική ανάλυση είναι εάν υπάρχει μια ολόμορφη συνάρτηση f, σε ένα δεδομένο ανοιχτό σύνολο Ω σε C ^ n, η οποία είναι singular σε κάθε ...
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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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Nuttall's theorem with analytic weights on algebraic S-contours [PDF]
, 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.
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Exact and Fast Numerical Algorithms for the Stochastic Wave Equation [PDF]
, 2003 On the basis of integral representations we propose fast numerical methods to solve the Cauchy problem for the stochastic wave equation without boundaries and with the Dirichlet boundary conditions.
Andreas Martin +6 more
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Boundary Value Problems, 2023 The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the ...
Xingtian Gong, Shuwei Yang
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IOP 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
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Fibonacci-regularization method for solving Cauchy integral equations of the first kind
Ain Shams Engineering Journal, 2017 In this paper, a novel scheme is proposed to solve the first kind Cauchy integral equation over a finite interval. For this purpose, the regularization method is considered.
Mohammad Ali Fariborzi Araghi +1 more
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Derivation of logarithmic integrals expressed in teams of the Hurwitz zeta function
AIMS Mathematics, 2020 In this paper by means of contour integration we will evaluate definite integrals of the form \begin{equation*} \int_{0}^{1}\left(\ln^k(ay)-\ln^k\left(\frac{a}{y}\right)\right)R(y)dy \end{equation*} in terms of a special function, where $R(y)$ is a ...
Robert Reynolds, Allan Stauffer
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