Some inequalities for special functions.
Some inequalities for the gamma function.
Some Inequalities For The Gamma Function
Some inequalities for the -gamma function.
Some inequalities involving the gamma function.
Some monotonicity and limit results for the regularised incomplete gamma function
Letting P(u,x) denote the regularised incomplete gamma function, it is shown that for each α ≥ 0, P(x,x+α) decreases as x increases on the positive real semi-axis, and P(x,x+α) converges to 1/2 as x tends to infinity. The statistical significance of these results is explored.
Some monotonicity properties and characterizations of the gamma function.
Some new inequalities for gamma and polygamma functions.
Some new inequalities for the gamma, beta and zeta functions.
Some remarks on results of Mortici
Some Results on Hypertranscendental Meromorphic Functions.
Some results on the non-commutative neutrix product of distributions and .
Special values of multiple gamma functions
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
Sums of reciprocals of triple binomial coefficients.
Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions.
Sur la fonction Eulérienne. Extrait d'une lettre adressée à M. Ed. Weyr par M. Hermite
Sur la fonction log ... (a). (Extrait d'une lettre de M. Ch. Hermite à M. K. Hensel).
Sur la nature arithmétique des valeurs de fonctions modulaires
Sur le développement de
Sur l'intégrale eulérienne de première espèce