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We study the probability distribution of the location of a particle performing a cyclic random motion in $ℝ^{d}$ . The particle can take n possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time t). The distribution of the location of the particle is made up of two components: a singular component (corresponding...

Definitionen der Bernoulli-Polynome mit Hilfe ihrer Multiplikationstheoreme.

Hans-Heinrich Kairies (1973)

Manuscripta mathematica

Diagonalization and rationalization of algebraic Laurent series

Boris Adamczewski, Jason P. Bell (2013)

Annales scientifiques de l'École Normale Supérieure

We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime $p$ the reduction modulo $p$ of the diagonal of a multivariate algebraic power series $f$ with integer coefficients is an algebraic power series of degree at most $p^{A}$ and height at most $A p^{A}$ , where $A$ is an effective constant that only depends on...

Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.

Yulii Il'yashenko, Sergei Yakovenko (1995)

Inventiones mathematicae

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A characterization of the Bernoulli and Euler polynomials

A new functional equation characterizing generalized Joukowski transformations.

A note on higher monotonicity properties of generalized Airy functions

A note on the generalized Tricomi polynomials.

A representation of Sheffer polynomials in terms of a differential equation for their generating functions.

A representation of Sheffer polynomials in terms of a differential equation for their generating functions. (Short Communication).

A sixteenth-order polylogarithm ladder.

A unified class of polynomials.

Addendum to the article: Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders.

Antisymmetric orbit functions.

Consecutive evaluation of Euler sums.

Cyclic random motions in $ℝ^{d}$ -space with n directions

Definitionen der Bernoulli-Polynome mit Hilfe ihrer Multiplikationstheoreme.

Diagonalization and rationalization of algebraic Laurent series

Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.

$E$ -orbit functions.

Ein analytisches Reziprozitätsgesetz.

Erratum for “Generalized dirichlet series and $B$ -functions”

Evaluation of triple Euler sums.

Explicit evaluations of quadruple Euler sums

Currently displaying 1 – 20 of 62