Record number :

930487

Title of article :

On a linear transcendence measure for the
solutions of a universal differential equation
at algebraic points

Author/Authors :

Carsten Elsner، نويسنده ,

Issue Information :

دوهفته نامه با شماره پیاپی سال 2003

Pages :

16

From page :

684

To page :

699

Abstract :

In this paper the author continues his work on arithmetic properties of the solutions of a universal
differential equation at algebraic points. Every real continuous function on the real line can be
uniformly approximated by C∞-solutions of a universal differential equation. An algebraic universal
differential equation of order five and degree 11 is explicitly given, such that every finite set of
nonvanishing derivatives y(k1)(τ), . . . , y(kr )(τ ) (1 k1 < ···< kr ) at an algebraic point τ is linearly
independent over the field of algebraic numbers. A linear transcendence measure for these values is
effectively computed.
2003 Elsevier Science (USA). All rights reserved

Journal title :

Journal of Mathematical Analysis and Applications

Serial Year :

2003

Link To Document :