The irrationality of infinite series of a special kind

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De Gruyter

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Abstract

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.

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irrationality, transcendence, Liouville number, infinite series

Citation

Mathematica Slovaca. 2016, vol. 66, issue 4, p. 803-810.