Some properties of the Nesterenko differential sequence

Abstract

We present some properties of a differential sequence prompted by a formula in a paper by Maryna Nesterenko (International Journal of Mathematics and Mathematical Sciences 2006 (2006), Article ID 17410) in terms of the symmetry, singularity and integrability properties of the elements of the sequence.

Mathematics Subject Classification (2010): 34M35, 34M45, 34M55.

Keywords: Differential sequence, symmetry analysis, singularity analysis, integrability