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A new quicker sequence convergent to Euler's constant

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Indexed by:期刊论文

Date of Publication:2014-03-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE、Scopus

Volume:136

Page Number:320-329

ISSN No.:0022-314X

Key Words:Euler's constant; Rate of convergence; Asymptotic expansion

Abstract:In this paper, a new quicker sequence convergent to Euler's constant is provided. Finally, for demonstrating the superiority of our new convergent sequence over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2013 Elsevier Inc. All rights reserved.

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