Some linear relations between values of trigonometric functions at kπ/n
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 new Wilker-type inequalities for circular and hyperbolic functions.
Some properties of the incomplete beta function ratio
Some remarks on results of Mortici
Some Results on Hypertranscendental Meromorphic Functions.
Some results on the non-commutative neutrix product of distributions and .
Sous-groupes analytiques de variétés de groupe
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.
Standard relations of multiple polylogarithm values at roots of unity.
Sums of reciprocals of triple binomial coefficients.
Supernumary polylogarithmic ladders and related functional equations.
Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions.
Sur deux séries nouvelles qui expriment le sinus et le cosinus d'un arc donné
Sur la construction géométrique de l'équation relative à l'addition des intégrales elliptiques de première espèce
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).