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The classical orthogonal polynomials /

"This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have. The first chapter defines the orthogonality condition for two functions. It th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Doman, Brian George Spencer, 1936- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2016]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Doman, Brian George Spencer,  |d 1936-  |e author. 
245 1 4 |a The classical orthogonal polynomials /  |c Brian George Spencer Doman, University of Liverpool, UK. 
264 1 |a New Jersey :  |b World Scientific,  |c [2016] 
264 4 |c ©2016 
300 |a 1 online resource (xii, 164 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
505 0 |a Definitions and general properties -- Hermite polynomials -- Associated laguerre polynomials -- Legendre polynomials -- Chebyshev polynomials of the first kind -- Chebyshev polynomials of the second kind -- Chebyshev polynomials of the third kind -- Chebyshev polynomials of the fourth kind -- Gegenbauer polynomials -- Associated legendre functions -- Jacobi polynomials. 
588 0 |a Print version record. 
520 |a "This book defines sets of orthogonal polynomials and derives a number of properties satisfied by any such set. It continues by describing the classical orthogonal polynomials and the additional properties they have. The first chapter defines the orthogonality condition for two functions. It then gives an iterative process to produce a set of polynomials which are orthogonal to one another and then describes a number of properties satisfied by any set of orthogonal polynomials. The classical orthogonal polynomials arise when the weight function in the orthogonality condition has a particular form. These polynomials have a further set of properties and in particular satisfy a second order differential equation. Each subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation."--  |c Provided by publisher 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Orthogonal polynomials. 
650 0 |a Polynomials. 
650 6 |a Polynômes orthogonaux. 
650 6 |a Polynômes. 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Orthogonal polynomials  |2 fast 
650 7 |a Polynomials  |2 fast 
776 0 8 |i Print version:  |a Doman, Brian George Spencer, 1936-  |t Classical orthogonal polynomials.  |d New Jersey : World Scientific, 2015  |z 9789814704038  |w (DLC) 2015027954  |w (OCoLC)922158208 
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