IRRATIONAL NUMBERS AND STURM-LIOUVILLE PROBLEMS

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ADALAR İ.

Mathematics Student, vol.91, no.3-4, pp.35-41, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 3-4
  • Publication Date: 2022
  • Journal Name: Mathematics Student
  • Journal Indexes: Scopus
  • Page Numbers: pp.35-41
  • Keywords: Irrationality, Sturm-Liouville problem
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

© Indian Mathematical Society, 2022.In this paper, we establish a relationship between boundary value problems and irrational numbers. In particular, we exploit eigenvalues of Sturm-Liouville problems to give a new proof of the irrationality of tanr for nonzero rational r.