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Some new continued fraction approximation of Euler's constant

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Indexed by:期刊论文

Date of Publication:2015-02-01

Journal:JOURNAL OF NUMBER THEORY

Included Journals:SCIE、ESI高被引论文

Volume:147

Page Number:69-80

ISSN No.:0022-314X

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

Abstract:In this paper, using continued fraction, some quicker classes of sequences convergent to Euler's constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.

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