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: 225-238

ISSN: 1422-6383

Key Words: Gamma function; Psi function; continued fraction; rate of convergence; inequalities

Abstract: In this paper, based on continued fractions, some faster asymptotic formulas of gamma, psi and psi's derivative functions are given. Then, we provide some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.