Orthogonal Polynomials and Linear Functionals

BookselmMonograph

An Algebraic Approach and Applications

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	FrontmatterDownload pp. i–iv
	PrefaceDownload p. v
	ContentsDownload pp. vii–viii
1	IntroductionDownload pp. 1–2
2	Moment functionals on $P$ and orthogonal polynomialspp. 3–25
3	Continued fractionspp. 27–29
4	Zeros of orthogonal polynomialspp. 31–36
5	Gauss quadrature rulespp. 37–41
6	Symmetric functionalspp. 43–47
7	Transformations of moment functionalspp. 49–62
8	Classical orthogonal polynomialspp. 63–67
9	Classical functionalspp. 69–84
10	Electrostatic interpretation for the zeros of classical orthogonal polynomialspp. 85–90
11	Semiclassical functionalspp. 91–103
12	Examples of semiclassical orthogonal polynomialspp. 105–108
13	The Askey schemepp. 109–114
	Referencespp. 115–118
	Indexpp. 119–120