Convolutional Calculus

Convolutional Calculus
Author: Ivan H. Dimovski
Publisher: Springer Science & Business Media
Total Pages: 196
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9400905270

Presents a development of a method based on the notion of the convolution of a linear operator. This unifies approaches from operational calculus, multiplier theory, algebraic analysis and spectral theory. The most important application of the convolutional method is the extension of the Duhamel met

The Double Mellin-barnes Type Integrals And Their Application To Convolution Theory

The Double Mellin-barnes Type Integrals And Their Application To Convolution Theory
Author: Semyon B Yakubovich
Publisher: World Scientific
Total Pages: 308
Release: 1992-05-26
Genre: Mathematics
ISBN: 9814506141

This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.

The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory

The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory
Author: Thanh Hai Nguyen
Publisher: World Scientific
Total Pages: 318
Release: 1992
Genre: Mathematics
ISBN: 9789810206901

This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.

Generalized Fractional Calculus and Applications

Generalized Fractional Calculus and Applications
Author: Virginia S Kiryakova
Publisher: CRC Press
Total Pages: 412
Release: 1993-12-27
Genre: Mathematics
ISBN: 9780582219779

In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

Selected Questions of Mathematical Physics and Analysis

Selected Questions of Mathematical Physics and Analysis
Author: I. V. Volovich
Publisher: American Mathematical Soc.
Total Pages: 420
Release: 1995
Genre: Mathematics
ISBN: 9780821804643

This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:--the theory of generalized functions--complex and $p$-adic analysis--mathematical questions of quantum field theory and statistical mechanics--computational mathematics and differential equations.