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Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153)

Unknown Author
4.9/5 (32467 ratings)
Description:The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painleve transcendents, which have been termed the 'special functions of the twenty-first century'."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153). To get started finding Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
1107106982

Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153)

Unknown Author
4.4/5 (1290744 ratings)
Description: The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painleve transcendents, which have been termed the 'special functions of the twenty-first century'."We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153). To get started finding Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 153), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
1107106982
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