Certain Dual Integral Equations And Sonine S Integrals
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Certain Dual Integral Equations And Sonine S Integrals
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Author : Arthur Sylvester Peters
language : en
Publisher:
Release Date : 1961
Certain Dual Integral Equations And Sonine S Integrals written by Arthur Sylvester Peters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Integral equations categories.
Certain Dual Integral Equations And Sonine S Integrals
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Author : A. S. Peters
language : en
Publisher:
Release Date : 1961
Certain Dual Integral Equations And Sonine S Integrals written by A. S. Peters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Integral equations categories.
Consideration is given to the solution of simultaneous equatio s c ll du l i egral quations. A method based on the use of Sonine's discontinuous i grals i developed. A system of dual integral equ tions is solved by the syst m ic pplica ion of onine integr l, and a more general formula is found. The m thod i t n shown to be applicable for solving the more general dual equations.
Certain Dual Integral Equations And Sonine S Integrals
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Author : Arthur S. Peters
language : en
Publisher: Sagwan Press
Release Date : 2018-02-07
Certain Dual Integral Equations And Sonine S Integrals written by Arthur S. Peters and has been published by Sagwan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-07 with History categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Advances In Dual Integral Equations
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Author : B.N. Mandal
language : en
Publisher: Routledge
Release Date : 2022-01-27
Advances In Dual Integral Equations written by B.N. Mandal and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.
The effectiveness of dual integral equations for handling mixed boundary value problems has established them as an important tool for applied mathematicians. Their many applications in mathematical physics have prompted extensive research over the last 25 years, and many researchers have made significant contributions to the methodology of solving and to the applications of dual integral equations. However, until now, much of this work has been available only in the form of research papers scattered throughout different journals. In Advances in Dual Integral Equations, the authors systematically present some of the recent developments in dual integral equations involving various special functions as kernel. They examine dual integral equations with Bessel, Legendre, and trigonometric functions as kernel plus dual integral equations involving inverse Mellin transforms. These can be particularly useful in studying certain mixed boundary value problems involving homogeneous media in continuum mechanics. However, when dealing with problems involving non-homogenous media, the corresponding equations may have different kernels. This application prompts the authors to conclude with a discussion of hybrid dual integral equations-mixed kernels with generalized associated Legendre functions and mixed kernels involving Bessel functions. Researchers in the theory of elasticity, fluid dynamics, and mathematical physics will find Advances in Dual Integral Equations a concise, one-stop resource for recent work addressing special functions as kernel.
U S Government Research Reports
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Author :
language : en
Publisher:
Release Date : 1962
U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Science categories.
Technical Abstract Bulletin
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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1962
Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Technology categories.
Singular Integral Equations
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Author : Ricardo Estrada
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singular Integral Equations written by Ricardo Estrada and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
The Fractional Calculus Theory And Applications Of Differentiation And Integration To Arbitrary Order
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Author :
language : en
Publisher: Elsevier
Release Date : 1974-09-05
The Fractional Calculus Theory And Applications Of Differentiation And Integration To Arbitrary Order written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-09-05 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
The Elementary Solution Of Some Dual Integral Equations
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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1959
The Elementary Solution Of Some Dual Integral Equations written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Integral equations categories.
Integrals Of Bessel Functions
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Author : Yudell L. Luke
language : en
Publisher: Courier Corporation
Release Date : 2014-10-20
Integrals Of Bessel Functions written by Yudell L. Luke and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-20 with Mathematics categories.
A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.