ENGLISH

Shadows of the circle : conic sections, optimal figures, and non-Euclidean geometry

By Vagn Lundsgaard Hansen

Book information

Publisher
World Scientific
Year
1998
ISBN
981023418X, 9789810234188
Language
english
Format
PDF
Filesize
4 MB (4504034 bytes)
Pages
118\118
Time added
2012-12-29 17:00:00

Description

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 facorization 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 An ellipse in the shadow; with conic sections in the light; optimal plane figures; the Poincare disc model of non-Euclidean geometry; exercises

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