The Hypergeometric Approach to Integral Transforms and Convolutions PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Hypergeometric Approach to Integral Transforms and Convolutions PDF full book. Access full book title The Hypergeometric Approach to Integral Transforms and Convolutions by S.B. Yakubovich. Download full books in PDF and EPUB format.
Author: S.B. Yakubovich
Publisher: Springer Science & Business Media
ISBN: 9401111960
Category : Mathematics
Languages : en
Pages : 335
Get Book Here
Book Description
The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss's, Bessel's, Kummer's, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Moreover, the Mellin-Barnes type integrals can be understood as an inversion Mellin transform from the quotient of products of Euler's gamma-functions. Thus we are led to the general construc tions like the Meijer's G-function and the Fox's H-function.
Author: S.B. Yakubovich
Publisher: Springer Science & Business Media
ISBN: 9401111960
Category : Mathematics
Languages : en
Pages : 335
Get Book Here
Book Description
The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss's, Bessel's, Kummer's, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Moreover, the Mellin-Barnes type integrals can be understood as an inversion Mellin transform from the quotient of products of Euler's gamma-functions. Thus we are led to the general construc tions like the Meijer's G-function and the Fox's H-function.
Author: Semyon B Yakubovich
Publisher: World Scientific
ISBN: 9814500607
Category : Mathematics
Languages : en
Pages : 265
Get Book Here
Book Description
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 Lp 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.
Author: Anthony G. Williams
Publisher: Cambridge University Press
ISBN: 1108470904
Category : Science
Languages : en
Pages : 793
Get Book Here
Book Description
This textbook offers a detailed and self-contained presentation of quantum field theory, suitable for advanced undergraduate and graduate level courses. The author provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. A fully worked solutions manual is available online for instructors.
Author: National Research Council Canada
Publisher: NRC Research Press
ISBN: 9780660157801
Category : Nature
Languages : en
Pages : 756
Get Book Here
Book Description
These documents summarize some of the recent studies of the relationships among climate, the aquatic environment, and the dynamics of fish populations. The studies are mostly from the North Pacific ocean, but there are reports of investigations from the North Atlatic Ocean and from fresh water. Various papers include numerous examples of the relationships between fish abundance trends and the environment.
Author: Olivier Vanbésien
Publisher: John Wiley & Sons
ISBN: 1118649419
Category : Technology & Engineering
Languages : en
Pages : 123
Get Book Here
Book Description
This book shows how dispersion engineering in two dimensional dielectric photonic crystals can provide new effects for the precise control of light propagation for integrated nanophotonics. Dispersion engineering in regular and graded photonic crystals to promote anomalous refraction effects is studied from the concepts to experimental demonstration via nanofabrication considerations. Self collimation, ultra and negative refraction, second harmonic generation, mirage and invisibility effects which lead to an unprecedented control of light propagation at the (sub-)wavelength scale for the field of integrated nanophotonics are detailed and commented upon.
Author: Uwe Meyer-Baese
Publisher: Springer Science & Business Media
ISBN: 3540726136
Category : Technology & Engineering
Languages : en
Pages : 788
Get Book Here
Book Description
A practical and fascinating book on a topic at the forefront of communications technology. Field-Programmable Gate Arrays (FPGAs) are on the verge of revolutionizing digital signal processing. Novel FPGA families are replacing ASICs and PDSPs for front-end digital signal processing algorithms at an accelerating rate. The efficient implementation of these algorithms is the main goal of this book. It starts with an overview of today's FPGA technology, devices, and tools for designing state-of-the-art DSP systems. Each of the book’s chapter contains exercises. The VERILOG source code and a glossary are given in the appendices.
Author: Adam Freeman
Publisher: Apress
ISBN: 143024402X
Category : Computers
Languages : en
Pages : 909
Get Book Here
Book Description
Apps are at the heart of Windows 8, bringing rich and engaging experiences to both tablet and desktop users. Windows 8 uses the Windows Runtime (WinRT), a complete reimagining of Windows development that supports multiple programming languages and is built on HTML5, CSS and JavaScript. These applications are the future of Windows development and JavaScript is perfect language to take advantage of this exciting and flexible environment. Seasoned author Adam Freeman explains how to get the most from WinRT and Windows 8 by focusing on the features you need for your project. He starts with the nuts-and-bolts and shows you everything through to advanced features, going in-depth to give you the knowledge you need. Each topic is covered clearly and concisely and is packed with the details you need to learn to be truly effective. The most important features are given a no-nonsense in-depth treatment and chapters contain examples that demonstrate both the power and the subtlety of Windows 8, Windows Runtime and Javascript.
Author: Václav Zima
Publisher: North Holland
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 820
Get Book Here
Book Description
Hardbound. The organizers of ECCTD'85 have prepared a comprehensive program covering the broadest possible area of circuit theory and design. Due to the close connection between circuit theory and signal theory, speech processing and communication systems have also been included.The papers have been selected on the basis of evaluation by three reviewers, and are topically arranged as follows: - Analysis and design (large network analysis, layout, statistical circuit design, VLSI circuits, CAD) - General network and system theory (mathematical methods in system theory, system theory, biological system modelling, nonlinear networks, power microelectronics) - Communications (radio and optical fibre communications systems, electronic circuits for communications) - Discrete signal processing (digital filters, digital signal processing, multidimensional filters and systems, speech processing, image processing) - Filters
Author: Gradimir V. Milovanović
Publisher: Springer
ISBN: 149390258X
Category : Mathematics
Languages : en
Pages : 873
Get Book Here
Book Description
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
Author: Osmar Norberto de Souza
Publisher: Springer
ISBN: 3642228259
Category : Computers
Languages : en
Pages : 93
Get Book Here
Book Description
This book constitutes the proceedings of the 6th Brazilian Symposium on Bioinformatics, BSB 2011, held in Brasília, Brazil, in August 2011. The 8 full papers and 4 extended abstracts presented were carefully peer-reviewed and selected for inclusion in this book. The BSB topics of interest cover many areas of bioinformatics that range from theoretical aspects of problems in bioinformatics to applications in molecular biology, biochemistry, genetics, and associated subjects.
