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An Introduction to Orthogonal Polynomials
Theodore S Chihara
出版Courier Corporation, 2014-07-01
主題Mathematics / Applied
ISBN04861414119780486141411
URLhttp://books.google.com.hk/books?id=GiP0AwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.