A new family of periodic functions as explicit roots of a class of polynomial equations

Details A new family of periodic functions as explicit roots of a class of polynomial equations A new family of periodic functions as explicit roots of a class of polynomial equations

2004-10-26

arxiv.org/abs/math/0410548v1

Australian Journal of Mathematical Analysis and Applications 3, 2 (07/08/2006) 4; 1-16

Mathematics

Classical Analysis and ODEs

Scientific paper

For any positive integer n, a new family of periodic functions in power
series form and of period n is used to solve in closed form a class of
polynomial equation of order n. The n roots are the values of the appropriate
function from that family taken at 0,1,...,n-1.

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