Integrals And Series Direct Laplace Transforms
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Author | : Anatoliĭ Platonovich Prudnikov |
Publisher | : CRC Press |
Total Pages | : 644 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 9782881248375 |
Volumes 4 and 5 of the extensive series Integrals and Series are devoted to tables of LaplaceTransforms. In these companion volumes the authors have collected data scatteredthroughout the literature, and have augmented this material with many unpublished resultsobtained in their own research.Volume 4 contains tables of direct Laplace transforms, a number of which are expressed interms of the Meijer G-function. When combined with the table of special cases, theseformulas can be used to obtain Laplace transforms of numerous elementary and specialfunctions of mathematical physics.Volume 5 offers tables of inversion formulas for the Laplace transformation and includestables of factorization and inversion of various integral transforms.
Author | : A.B Prudnikov |
Publisher | : Routledge |
Total Pages | : 644 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 135143795X |
Volumes 4 and 5 of the extensive series Integrals and Series are devoted to tables of LaplaceTransforms. In these companion volumes the authors have collected data scatteredthroughout the literature, and have augmented this material with many unpublished resultsobtained in their own research.Volume 4 contains tables of direct Laplace transforms, a number of which are expressed interms of the Meijer G-function. When combined with the table of special cases, theseformulas can be used to obtain Laplace transforms of numerous elementary and specialfunctions of mathematical physics.Volume 5 offers tables of inversion formulas for the Laplace transformation and includestables of factorization and inversion of various integral transforms.
Author | : I. S. Gradshteyn |
Publisher | : Academic Press |
Total Pages | : 1207 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483265641 |
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
Author | : Xiao-Jun Yang |
Publisher | : Academic Press |
Total Pages | : 263 |
Release | : 2015-10-22 |
Genre | : Mathematics |
ISBN | : 0128040327 |
Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. - Provides applications of local fractional Fourier Series - Discusses definitions for local fractional Laplace transforms - Explains local fractional Laplace transforms coupled with analytical methods
Author | : Joel L. Schiff |
Publisher | : |
Total Pages | : 252 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9781475772616 |
Author | : James G. Holbrook |
Publisher | : Elsevier |
Total Pages | : 365 |
Release | : 2014-05-16 |
Genre | : Mathematics |
ISBN | : 1483185656 |
Laplace Transforms for Electronic Engineers, Second (Revised) Edition details the theoretical concepts and practical application of Laplace transformation in the context of electrical engineering. The title is comprised of 10 chapters that cover the whole spectrum of Laplace transform theory that includes advancement, concepts, methods, logic, and application. The book first covers the functions of a complex variable, and then proceeds to tackling the Fourier series and integral, the Laplace transformation, and the inverse Laplace transformation. The next chapter details the Laplace transform theorems. The subsequent chapters talk about the various applications of the Laplace transform theories, such as network analysis, transforms of special waveshapes and pulses, electronic filters, and other specialized applications. The text will be of great interest to electrical engineers and technicians.
Author | : Alan Jeffrey |
Publisher | : |
Total Pages | : 472 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : |
If there is a formula to solve a given problem in mathematics, it can be found in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The handbook covers important formulas, functions, relations, and methods from algebra, trigonomic and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Equations are computer-validated with Scientific WorkPlace and Mathematica. -- Back cover
Author | : Andrei D. Polyanin |
Publisher | : CRC Press |
Total Pages | : 1143 |
Release | : 2008-02-12 |
Genre | : Mathematics |
ISBN | : 0203881052 |
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Author | : Francesco Mainardi |
Publisher | : MDPI |
Total Pages | : 198 |
Release | : 2020-02-05 |
Genre | : Mathematics |
ISBN | : 3039282468 |
The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.
Author | : Semen B. Yakubovich |
Publisher | : World Scientific |
Total Pages | : 272 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9789810222161 |
This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii Transform and the Lebedev-Skalskaya transforms. The p theory of index transforms is discussed, and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. General index transform formulae are obtained. The connection between the multidimensional index kernels and G and H functions of several variables is presented. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography.This work will be of interest to researchers and graudate students in the mathematical and physical sciences whose work involves integral transforms and special functions.