A new property of the Wallis power function

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function
Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
On the asymptotic expansion of a ratio of gamma functions
Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
Bounds for the ratio of two gamma functions
A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw's inequality
A comparison theorem for two divided differences and applications to special functions
Two new asymptotic expansions of the ratio of two gamma functions
A complete monotonicity property of the gamma function
On complete monotonicity for several classes of functions related to ratios of gamma functions
Complete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions
Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders
Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem
A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality
Complete monotonicity involving some ratios of gamma functions
A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
Gurland's ratio for the gamma function
The asymptotic expansion of a ratio of gamma functions
Asymptotic expansions of the gamma function and Wallis function through polygamma functions
Error Bounds for Asymptotic Expansions of the Ratio of Two Gamma Functions
Asymptotic formulae associated with the Wallis power function and digamma function
Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
Some Extensions of W. Gautschi's Inequalities for the Gamma Function
Completely monotonic functions involving the gamma and $q$-gamma functions
Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means
On Gamma Function Inequalities
Differential and integral f-means and applications to digamma function
The best bounds in Gautschi's inequality
Completely monotonic functions related to Gurland's ratio for the gamma function
A class of completely mixed monotonic functions involving the gamma function with applications
Some properties of the generalized Gaussian ratio and their applications
A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder
Complete monotonicity and inequalites involving Gurland's ratios of gamma functions
UPPER AND LOWER BOUNDS FOR A RATIO INVOLVING THE GAMMA FUNCTION
Asymptotic expansions of the multiple quotients of gamma functions with applications
Two logarithmically completely monotonic functions connected with gamma function
A Note on the Asymptotic Expansion of a Ratio of Gamma Functions
Inequalities for the Wallis Product
On some inequalities for the gamma and psi functions
An Approximation to the Quotient of Gamma Function

This page was built for publication: A new property of the Wallis power function