Continued fraction expression of the Mathieu series

2015/08/02 by Xiaodong Cao, Cao, Xiaodong, Yoshio Tanigawa +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT) #math.CA #math.NT

paper · pdf · doi:10.48550/arxiv.1508.00177

arxiv created 2015/08/02 · arxiv updated 2015/08/04

Abstract

In this paper, we represent a continued fraction expression of Mathieu series by a continued fraction formula of Ramanujan. As application, we obtain some new bounds for Mathieu series.

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