Geometrical convexity and generalizations of the Bohr-Mollerup theorem on the gamma function.
-function with complex parameters. II: Evaluation.
Indépendance linéaire des valeurs des polylogarithmes
Nous montrons que pour tout rationnel de , l’ensemble des valeurs des polylogarithmes contient une infinité de nombres -linéairement indépendants.
Inequalities and monotonicity for the ratio of functions.
Inequalities for -convex functions.
Inequalities for Beta and Gamma functions via some classical and new integral inequalities.
Inequalities for logarithmic and exponential functions.
Inequalities for the gamma function.
Inequalities involving a logarithmically convex function and their applications to special functions.
Integral averages of multiple Poisson kernels.
L'identité de Barnes pour les corps finis
Logarithmic derivative of the Euler Γ function in Clifford analysis.
The logarithmic derivative of the Γ-function, namely the ψ-function, has numerous applications. We define analogous functions in a four dimensional space. We cut lattices and obtain Clifford-valued functions. These functions are holomorphic cliffordian and have similar properties as the ψ-function. These new functions show links between well-known constants: the Eurler gamma constant and some generalisations, ζR(2), ζR(3). We get also the Riemann zeta function and the Epstein zeta functions.
Logarithmus faktorielly
Low-rank tensor representation of Slater-type and Hydrogen-like orbitals
The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...
Matrix solutions of the functional equation of the gamma function.
Mercerian Theorems Involving Cesàro Means of Positive Order.
Monotonic and logarithmically convex properties of a function involving gamma functions.
Monotonicity and concavity properties of some functions involving the gamma function with applications.
Monotonicity and convexity for the gamma function.
Monotonicity results for the Gamma function.