On an infinite series for (1+1/x)^x

2014/06/30 by Cristinel Mortici, Yue Hu, Mortici, Cristinel +1
Mathematics · #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Computer science #Constant (computer programming) #Construct (python library) #Discrete mathematics #FOS: Mathematics #Inequality #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Series (stratigraphy) #Series expansion #math.CA

paper · pdf · doi:10.48550/arxiv.1406.7814

arxiv created 2014/06/30 · openalex publication_date 2014/06/30 · arxiv updated 2014/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to construct a new expansion of (1+1/x)^x related to Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659].

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