On Taylor series expansion of (1+ z)^A for |z|>1

2010/01/01 by Akhila Raman, Raman, Akhila
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #History and Overview (math.HO) #math.CA #math.HO

paper · pdf · doi:10.48550/arxiv.1001.0249

arxiv created 2010/01/11 · arxiv updated 2010/01/14

Abstract

It is well known that the Taylor series expansion of (1+ z)^A does not converge for |z|>1 where A is a real number which is not equal to zero or a positive integer. A limited series expansion of this expression is obtained in this paper for |z|>1 as a product of convergent series.

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