A Transcendence of some infinite series

Authors

  • 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

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Published

2023-07-21

Issue

Vol. 78 No. 1 (2023)

Section

Articoli

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