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Integral Transforms And Operational Calculus


Integral Transforms And Operational Calculus
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Integral Transforms And Operational Calculus


Integral Transforms And Operational Calculus
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Author : Vitaliĭ Arsenʹevich Ditkin
language : en
Publisher: Pergamon
Release Date : 1965

Integral Transforms And Operational Calculus written by Vitaliĭ Arsenʹevich Ditkin and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Mathematics categories.


Fourier transforms -- Laplace transforms -- Bessel transforms -- Other integral transforms -- Operational calculus -- Summary of notation for special functions and certain constraints -- Fourier cosine transforms -- Fourier sine transforms -- Laplace-Carson transforms -- Mellin transforms -- Bessel transforms -- Other integral transforms.



Integral Transforms And Operational Calculus


Integral Transforms And Operational Calculus
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Author : H. M. Srivastava
language : en
Publisher: MDPI
Release Date : 2019-11-20

Integral Transforms And Operational Calculus written by H. M. Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Technology & Engineering categories.


Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications



Operational Calculus And Related Topics


Operational Calculus And Related Topics
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Author : A. P. Prudnikov
language : en
Publisher: CRC Press
Release Date : 2006-08-15

Operational Calculus And Related Topics written by A. P. Prudnikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-15 with Mathematics categories.


Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan



Integral Transforms And Operational Calculus


Integral Transforms And Operational Calculus
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Author : Vitalii Arsen'evich Ditkin
language : en
Publisher:
Release Date : 1961

Integral Transforms And Operational Calculus written by Vitalii Arsen'evich Ditkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.




Integral Transforms And Operational Calculus


Integral Transforms And Operational Calculus
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Author : Hari Mohan Srivastava
language : en
Publisher:
Release Date : 2019

Integral Transforms And Operational Calculus written by Hari Mohan Srivastava and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Engineering (General). Civil engineering (General) categories.


Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.



Integral Transformations Operational Calculus And Generalized Functions


Integral Transformations Operational Calculus And Generalized Functions
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Author : R.G. Buschman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Integral Transformations Operational Calculus And Generalized Functions written by R.G. Buschman 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 2013-11-27 with Mathematics categories.


It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".



Integral Transforms And Their Applications


Integral Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 1995-07-03

Integral Transforms And Their Applications written by Lokenath Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-03 with Mathematics categories.


Integral Transforms and Their Applications, provides a systematic , comprehensive review of the properties of integral transforms and their applications to the solution of boundary and initial value problems. Over 750 worked examples, exercises, and applications illustrate how transform methods can be used to solve problems in applied mathematics, mathematical physics, and engineering. The specific applications discussed include problems in differential, integral, and difference equations; electric circuits and networks; vibrations and wave propagation; heat conduction; fractional derivatives and fractional integrals; dynamical systems; signal processing; quantum mechanics; atmosphere and ocean dynamics; physical chemistry; mathematical biology; and probability and statistics. Integral Transforms and Their Applications includes broad coverage the standard material on integral transforms and their applications, along with modern applications and examples of transform methods. It is both an ideal textbook for students and a sound reference for professionals interested in advanced study and research in the field.



Multidimensional Integral Transformations


Multidimensional Integral Transformations
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Author :
language : en
Publisher: CRC Press
Release Date : 1992

Multidimensional Integral Transformations written by and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


A cross between a textbook and a monograph, this extensive introduction discusses all of the most important transformations, compiling information otherwise scattered throughout the literature. Attention is concentrated on the operational calculus of the major integral transformations and some of its applications, with an investigation of transforms in spaces of functions and of distributions. Annotation copyrighted by Book News, Inc., Portland, OR



Integral Transforms And Their Applications Second Edition


Integral Transforms And Their Applications Second Edition
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Author : Lokenath Debnath
language : en
Publisher: CRC Press
Release Date : 2006-10-11

Integral Transforms And Their Applications Second Edition written by Lokenath Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-11 with Mathematics categories.


Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.



Operational Calculus


Operational Calculus
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Author : Gregors Krabbe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Operational Calculus written by Gregors Krabbe 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 2013-12-01 with Mathematics categories.


Since the publication of an article by G. DoETSCH in 1927 it has been known that the Laplace transform procedure is a reliable sub stitute for HEAVISIDE's operational calculus*. However, the Laplace transform procedure is unsatisfactory from several viewpoints (some of these will be mentioned in this preface); the most obvious defect: the procedure cannot be applied to functions of rapid growth (such as the 2 function tr-+-exp(t)). In 1949 JAN MIKUSINSKI indicated how the un necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI's textbook "Operational Calculus" [M 1]. The aims of the present book are the same as MIKUSINSKI's [M 1]: a direct approach requiring no un-necessary restrictions. The present operational calculus is essentially equivalent to the "calcul symbolique" of distributions having left-bounded support (see 6.52 below and pp. 171 to 180 of the textbook "Theorie des distributions" by LAURENT SCHWARTZ).