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.
Permutable functions.
Permutable polynomials for several variables.
Pfaff's method. III: Comparison with the WZ method.
Pick functions related to entire functions having negative zeros.
Plane partitions IV: A conjecture of Mills-Robbins-Rumsey.
Plane waves, biregular functions and hypercomplex Fourier analysis
Pochhammer symbol with negative indices. A new rule for the method of brackets
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Polinomios ortogonales asociados con problemas espectrales
Polylogarithmes
Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA).
Polylogarithms in the field of omega (a root of given cubic): Functional equations and ladders.
Polynomial approximation to integral transforms
Polynomial Expansions for Solutions of Higher-Order Bessel Heat Equation in Quantum Calculus
Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties of this function with proofs...
Polynomial functions on the classical projective spaces
The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions .
Polynomials associated with dihedral groups.
Positivity of Cotes Numbers at More Jacobi Abscissas.
Positivity of the Cotes Numbers for some Jacobi Abscissas.
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...