The irrationality of infinite series of a special kind

Year, pages: 2016, 803 - 810

The main results of this paper give several criteria for certain infinite series of rational numbers to be irrational, transcendental or Liouville. Criteria are based on specific reccurence relations. Several examples are included.

Rucki, P. 2016. The irrationality of infinite series of a special kind. In Mathematica Slovaca, vol. 66, no.4, pp. 803-810. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0182

Rucki, P. (2016). The irrationality of infinite series of a special kind. Mathematica Slovaca, 66(4), 803-810. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0182