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.
General
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