Geometric polynomials: Properties and applications to series with zeta values

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Boyadzhiev K. N., Dil A.

Analysis Mathematica, cilt.42, sa.3, ss.203-224, 2016 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10476-016-0302-y
  • Dergi Adı: Analysis Mathematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.203-224
  • Anahtar Kelimeler: geometric polynomial, geometric series, binomial series, Hurwitz zeta function, Riemann zeta function, Lerch transcendent
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

© 2016 Akadémiai Kiadó, Budapest.We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann’s zeta function.