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Indexed by:期刊论文

Date of Publication:2017-09-01

Journal:RESULTS IN MATHEMATICS

Included Journals:SCIE、Scopus

Volume:72

Issue:1-2

Page Number:765-786

ISSN No.:1422-6383

Key Words:Factorial; continued fraction; asymptotic expansion; inequalities

Abstract:In this paper, based on Stirling's formula and Gosper's formula, we establish some new continued fraction expansions and inequalities for n! into negative powers of a triangular number. Finally, to demonstrate the superiority of our new series over classical ones, some numerical computations are given.