[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.2.315

WARING'S PROBLEM FOR LINEAR FRACTIONAL TRANSFORMATIONS

Kim, Dong-Il (Department of Mathematics Hallym University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 315-321 More about this Journal

Abstract

Waring's problem deals with representing any nonconstant function in a set of functions as a sum of kth powers of nonconstant functions in the same set. Consider ${\sum}_{i=1}^p\;f_i(z)^k=z$ . Suppose that $k{\geq}2$ . Let p be the smallest number of functions that give the above identity. We consider Waring's problem for the set of linear fractional transformations and obtain p = k.

Keywords

Waring's problem; linear fractional transformations;

Citations & Related Records

Reference

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