Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-09-01

Journal: RESULTS IN MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 72

Issue: 1-2

Page Number: 765-786

ISSN: 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.