A class of integral approximations for the factorial function

Authors:
Cristinel Mortici
Affiliations:
Valahia University of Tírgovişte, Department of Mathematics, Bd. Unirii 18, 130082 Tírgovişte, Romania
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 1
Cited 9

Computation of the gamma, digamma, and trigamma functions

SIAM Journal on Numerical Analysis

The asymptotic series of the generalized Stirling formula

Computers & Mathematics with Applications
On some Euler-Mascheroni type sequences

Computers & Mathematics with Applications
A new Stirling series as continued fraction

Numerical Algorithms
Improved asymptotic formulas for the gamma function

Computers & Mathematics with Applications
Refinements of Gurland's formula for pi

Computers & Mathematics with Applications
The proof of Muqattash-Yahdi conjecture

Mathematical and Computer Modelling: An International Journal
New approximation formulas for evaluating the ratio of gamma functions

Mathematical and Computer Modelling: An International Journal
Two families of approximations for the gamma function

Numerical Algorithms
Unified treatment of several asymptotic formulas for the gamma function

Numerical Algorithms

Quantified Score

Hi-index	0.09

Visualization

Abstract

We introduce Stirling's formula in a more general class of approximation formulas to extend the integral representation of Liu [Z. Liu, A new version of the Stirling formula, Tamsui Oxf. J. Math. Sci. 23 (4) (2007) 389-392]. Finally, an accurate approximation for the factorial function is established.