Integral Evaluations Using The Gamma An
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Integral Evaluations Using The Gamma An
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Author : International Press of Boston, Incorporated
language : en
Publisher:
Release Date :
Integral Evaluations Using The Gamma An written by International Press of Boston, Incorporated and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
For the evaluation of many integrals, the Euler's gamma and beta functions and the complete elliptic integrals are among the useful functions in engineering, physics and probability. This book illustrates how the properties of these functions may be used for integral evaluation.
Mellin Transform Method For Integral Evaluation
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Author : George Fikioris
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Mellin Transform Method For Integral Evaluation written by George Fikioris and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book introduces the Mellin-transform method for the exact calculation of one-dimensional definite integrals, and illustrates the application if this method to electromagnetics problems. Once the basics have been mastered, one quickly realizes that the method is extremely powerful, often yielding closed-form expressions very difficult to come up with other methods or to deduce from the usual tables of integrals. Yet, as opposed to other methods, the present method is very straightforward to apply; it usually requires laborious calculations, but little ingenuity. Two functions, the generalized hypergeometric function and the Meijer G-function, are very much related to the Mellin-transform method and arise frequently when the method is applied. Because these functions can be automatically handled by modern numerical routines, they are now much more useful than they were in the past. The Mellin-transform method and the two aforementioned functions are discussed first. Then the method is applied in three examples to obtain results, which, at least in the antenna/electromagnetics literature, are believed to be new. In the first example, a closed-form expression, as a generalized hypergeometric function, is obtained for the power radiated by a constant-current circular-loop antenna. The second example concerns the admittance of a 2-D slot antenna. In both these examples, the exact closed-form expressions are applied to improve upon existing formulas in standard antenna textbooks. In the third example, a very simple expression for an integral arising in recent, unpublished studies of unbounded, biaxially anisotropic media is derived. Additional examples are also briefly discussed.
Integral Evaluations Using The Gamma And Beta Functions And Elliptic Integrals In Engineering
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Author : Constantin C. Maican
language : en
Publisher:
Release Date : 2013
Integral Evaluations Using The Gamma And Beta Functions And Elliptic Integrals In Engineering written by Constantin C. Maican and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Beta functions categories.
Integral Evaluations Using The Gamma And Beta Functions And Elliptic Integrals In Engineering
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Author : Constantin C. Maican
language : en
Publisher:
Release Date : 2005
Integral Evaluations Using The Gamma And Beta Functions And Elliptic Integrals In Engineering written by Constantin C. Maican and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Beta functions categories.
For the evaluation of many integrals, the Euler's gamma and beta functions and the complete elliptic integrals are among the useful functions in engineering, physics and probability. This book illustrates how the properties of these functions may be used for integral evaluation.
Special Techniques For Solving Integrals Examples And Problems
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Author : Khristo N Boyadzhiev
language : en
Publisher: World Scientific
Release Date : 2021-12-10
Special Techniques For Solving Integrals Examples And Problems written by Khristo N Boyadzhiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-10 with Mathematics categories.
This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.
Applied Mathematics
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Author : C. C. (Constantin C.) Maican
language : en
Publisher: Mississauga, Ont. : C.C. Maican
Release Date : 1999-01-01
Applied Mathematics written by C. C. (Constantin C.) Maican and has been published by Mississauga, Ont. : C.C. Maican this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Beta functions categories.
Zeta And Q Zeta Functions And Associated Series And Integrals
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Author : Hari M Srivastava
language : en
Publisher: Elsevier
Release Date : 2011-10-11
Zeta And Q Zeta Functions And Associated Series And Integrals written by Hari M Srivastava and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-11 with Mathematics categories.
Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. - Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions
Computer Program Abstracts
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Author :
language : en
Publisher:
Release Date : 1971
Computer Program Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Computer programs categories.
Scientific Computing With Matlab
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Author : Dingyu Xue
language : en
Publisher: CRC Press
Release Date : 2018-09-03
Scientific Computing With Matlab written by Dingyu Xue and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Mathematics categories.
Scientific Computing with MATLAB®, Second Edition improves students’ ability to tackle mathematical problems. It helps students understand the mathematical background and find reliable and accurate solutions to mathematical problems with the use of MATLAB, avoiding the tedious and complex technical details of mathematics. This edition retains the structure of its predecessor while expanding and updating the content of each chapter. The book bridges the gap between problems and solutions through well-grouped topics and clear MATLAB example scripts and reproducible MATLAB-generated plots. Students can effortlessly experiment with the scripts for a deep, hands-on exploration. Each chapter also includes a set of problems to strengthen understanding of the material.