Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function

Abstract

In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial $n!$ and the gamma function $\Gamma$ in terms of the tri-gamma function ${\psi }^{\prime }$.

6 pages

References in corpus (2)

• Some best approximation formulas and inequalities for Wallis ratio
• Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function

Cited by in corpus (3)

• Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
• Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function
• Some inequalities for the trigamma function in terms of the digamma function