Power Series Solutions and Special Functions

Most of the specific functions encountered in elementary analysis belong to a class known as the elementary functions. In order to describe this class, we begin by recalling that an algebraic function is a polynomial, a rational function, or more generally any function y = f(x) that satisfies an equ...

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Bibliographische Detailangaben
1. Verfasser: Simmons, George F.
Format: Buchkapitel
Sprache:eng
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Zusammenfassung:Most of the specific functions encountered in elementary analysis belong to a class known as the elementary functions. In order to describe this class, we begin by recalling that an algebraic function is a polynomial, a rational function, or more generally any function y = f(x) that satisfies an equation of the form P n ( x ) y n + P n − 1 ( x ) y n − 1 + ⋯ + P 1 ( x ) y + P 0 ( x ) = 0 ,
DOI:10.1201/9781315371825-5