A Transcendence of some infinite series

  • F. Sghiouer Ibn Tofail University, Morocco
  • K. Belhroukia Ibn Tofail University, Morocco
  • A. Kacha Ibn Tofail University, Morocco

Abstract

In the present paper and as an application of J. Hancl criterion for transcendental sequences which gave a sufficient conditions that will assure us that a series of positive rational terms is a transcendental number. With the same conditions, we establish a transcendental measure of n=1 1/an

Author Biographies

F. Sghiouer, Ibn Tofail University, Morocco

Ibn Tofail University

Department of Mathematics

EDPAGS Laboratory

14 000 Kenitra

K. Belhroukia, Ibn Tofail University, Morocco

Ibn Tofail University

Department of Mathematics

Kenitra

Published
2023-07-21
Section
Articoli