2015/11/01 by Xiaodong Cao, Cao, Xiaodong, Cristinel Mortici +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.1511.00198
openalex publication_date 2015/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this work is to formulate a systematical method for looking for the simple closed form or continued fraction representation of a class of rational series. As applications, we obtain the continued fraction representations for the alternating Mathieu series and some rational series. The main tools are multiple-correction and two of Ramanujan's continued fraction formulae involving the quotient of the gamma functions.