Published March 2018 | Version v1
Journal article Metadata-only

New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions

Creators

  • 1. Dalian University of Technology, School of Mathematical Sciences (China)

Description

In this paper, based on continued fractions, we provide two faster asymptotic formulas of the gamma function compared with former achievements. Then, we present some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.

Additional details

Identifiers

DOI
10.1007/s00025-018-0785-x;

Publishing Information

Journal Title
Results in Mathematics
Journal Volume
73
Journal Issue
1
Journal Page Range
p. 1-16
ISSN
1422-6383

INIS

Country of Publication
Switzerland
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50018217
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; CALCULATION METHODS; COMPARATIVE EVALUATIONS; CONTINUED FRACTIONS; CONVERGENCE; GAMMA FUNCTION
Descriptors DEC
EVALUATION; FUNCTIONS; MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2018 Springer International Publishing AG, part of Springer Nature