Evaluation of some reciprocal trigonometric sums via partial fraction decomposition

ARIKAN T., Prodinger H.

KUWAIT JOURNAL OF SCIENCE, cilt.47, sa.1, ss.14-21, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: KUWAIT JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, zbMATH
  • Sayfa Sayıları: ss.14-21
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Recently, Melham computed some finite sums in which the denominator of the summand includes products of 'sine' or 'cosine'. In this paper, generalizations of the sums, which he studied in 2016, are presented, by allowing arbitrary factors in the denominator of the summand. Our approach uses the elementary technique of partial fraction decomposition. Furthermore, some of the sums, which he studied in 2017, are treated in the same style.