A product approximation of the gamma function

作者：Mortici Cristinel^*; Srivastava Hari M

来源：Numerical Algorithms, 2015, 69(3): 595-610.

DOI：10.1007/s11075-014-9915-z

• Factorial function
• Gamma function
• Product approximations
• Stirling's formula
• Asymptotic series
• Two-sided inequalities
• Complete monotonicity
• Speed of convergence
• Haussdorff-Bernstein-Widder theorem
• Numerical computations

The main object of this paper is to propose a product approximation for the gamma function. The estimates derived here are studied via the theory of completely monotonic functions. Sharp inequalities are stated.

• 出版日期2015-7