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An Introduction to Orthogonal Polynomials
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.
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.
Reprint of the Gordon and Breach Science Publishers, New York, 1978 edition.
calculus; applied mathematics; hermite polynomials; laguerre polynomials; jacobi polynomials; real analysis; general elementary theory; representation theorem; distribution functions; continued fractions; chain sequences; recurrence formula; special functions; gegenbauer polynomials; chebyshev polynomials; legendre polynomials$6.98
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Description
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.
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.
Reprint of the Gordon and Breach Science Publishers, New York, 1978 edition.
calculus; applied mathematics; hermite polynomials; laguerre polynomials; jacobi polynomials; real analysis; general elementary theory; representation theorem; distribution functions; continued fractions; chain sequences; recurrence formula; special functions; gegenbauer polynomials; chebyshev polynomials; legendre polynomials
