{"product_id":"9789814704052","title":"The Classical Orthogonal Polynomials","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eEach subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eEach subsequent chapter investigates the properties of a particular polynomial set starting from its differential equation.\u003c\/p\u003e\u003cb\u003eReadership:\u003c\/b\u003e Undergraduate and graduate students. \u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47119980429552,"sku":"9789814704052","price":21.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814704052_p0.jpg?v=1763691407","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814704052","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}