Padé-Type Approximants of Exp (-z) Whose Denominators Are (1+z/n)n.
Particular solutions for a class of ODE related to the -exponential functions.
Periodic points and dynamic rays of exponential maps.
Permanence of moment estimates for p-products of convex bodies
It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.
Pick functions related to entire functions having negative zeros.
Plane waves, biregular functions and hypercomplex Fourier analysis
Powers and Logarithms
There are applied power mappings in algebras with logarithms induced by a given linear operator D in order to study particular properties of powers of logarithms. Main results of this paper will be concerned with the case when an algebra under consideration is commutative and has a unit and the operator D satisfies the Leibniz condition, i.e. D(xy) = xDy + yDx for x, y ∈ dom D. Note that in the Number Theory there are well-known several formulae expressed by means of some combinations of powers...
Poznámka o funkci
Poznámka o sférické trigonometrii
Poznámka o výpočtu čísla:
Problem of uniqueness in the renewal process generated by the uniform distribution.
Proof of the best bounds in Wallis' inequality.
Properties of the L function
Propositions arithmétiques tirées de la théorie de la fonction exponentielle. (Extrait d'une Lettre adressée à M. Hermite)
Pseudo Laguerre and pseudo Hermite polynomials
We start from pseudo hyperbolic and trigonometric functions to introduce pseudo Laguerre and Hermite polynomials. We discuss the link with families of Bessel functions and analyze all the associated problems from a unifying point of view, employing operational tools.