An Introduction to Orthogonal Polynomials

Nonfiction, Science & Nature, Mathematics, Applied
Cover of the book An Introduction to Orthogonal Polynomials by Theodore S Chihara, Dover Publications
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Author: Theodore S Chihara ISBN: 9780486141411
Publisher: Dover Publications Publication: July 1, 2014
Imprint: Dover Publications Language: English
Author: Theodore S Chihara
ISBN: 9780486141411
Publisher: Dover Publications
Publication: July 1, 2014
Imprint: Dover Publications
Language: English
Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study.
Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. Numerous examples and exercises, an extensive bibliography, and a table of recurrence formulas supplement the text.
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Assuming no further prerequisites than a first undergraduate course in real analysis, this concise introduction covers general elementary theory related to orthogonal polynomials. It includes necessary background material of the type not usually found in the standard mathematics curriculum. Suitable for advanced undergraduate and graduate courses, it is also appropriate for independent study.
Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. Numerous examples and exercises, an extensive bibliography, and a table of recurrence formulas supplement the text.

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