Classical Orthogonal Polynomials The(1st Edition)

Authors:

Brian George Spencer Doman

Type:Hardcover/ PaperBack / Loose Leaf
Condition: Used/New

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Book details

ISBN: B01MXSPHK4

Book publisher: Wspc

Book Price $0 : "This Book Is Well Written And It Is Relatively Easy To Read. I Recommend It To Anyone Who Is Interested Not Only In Orthogonal Polynomials Theory, But Also In Its Physical Applications. The Book Can Be Also Successfully Used By Instructors Of Undergraduate Courses." Pure And Applied Geophysics 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.