View All Book Series

BOOK SERIES


Analytical Methods and Special Functions


10 Series Titles

Per Page
Sort

Display
Operational Calculus and Related Topics

Operational Calculus and Related Topics

A. P. Prudnikov, K.A. Skórnik
August 15, 2006

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...

H-Transforms: Theory and Applications

H-Transforms: Theory and Applications

Anatoly A. Kilbas
March 17, 2004

Along with more than 2100 integral equations and their solutions, this handbook outlines exact analytical methods for solving linear and nonlinear integral equations and provides an evaluation of approximate methods. Each section provides examples that show how methods can be applied to specific...

Distribution, Integral Transforms and Applications

Distribution, Integral Transforms and Applications

W. Kierat, Urszula Sztaba
January 16, 2003

The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are...

Methods of the Theory of Generalized Functions

Methods of the Theory of Generalized Functions

V. S. Vladimirov
August 15, 2002

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values...

Bessel Functions and Their Applications

Bessel Functions and Their Applications

B G Korenev
July 25, 2002

Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part...

Hypersingular Integrals and Their Applications

Hypersingular Integrals and Their Applications

Stefan Samko
October 25, 2001

Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned...

Fourier Transforms and Approximations

Fourier Transforms and Approximations

A M Sedletskii
September 20, 2000

Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the region of...

Inverse Spectral Problems for Linear Differential Operators and Their Applications

Inverse Spectral Problems for Linear Differential Operators and Their Applications

V A Yurko
January 18, 2000

Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse problem of recovering differential equations with...

Orthogonal Polynomials in Two Variables

Orthogonal Polynomials in Two Variables

P. K. Suetin
August 19, 1999

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits...

Series of Faber Polynomials

Series of Faber Polynomials

P.K. Suetin, E.V. Pankratiev
March 23, 1998

Presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the last decade, although the presentation of research has, until now, been confined mainly to journal articles. Applications include...

AJAX loader