On Tornheim type series
Is this your thesis?
This record came from a bulk archive import. If it’s yours, link it to your profile.
Abstract (EN)
In this work, Tornheim type series T(s₁,s₂,s₃;x,y,z;c)=∑_{m=1}^{∞}∑_{n=1}^{∞}((e^{2πi(mx+ny+(mc+n)z)})/(m^{s₁}n^{s₂}(mc+n)^{s₃})) is defined and some functional equations are obtained for this series. The special cases of these functional equations give many of the results in the literature for the Tornheim and alternating Tornheim series. In addition, formulas for some infinite series are given as applications of the obtained functional equations.
Author
Emre Çay
How to Cite
Emre Çay (Master Thesis). On Tornheim type series, 2020, Akdeniz University.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Akdeniz University
- Numerical investigation of the notch effect in interference fit connections(2023)
- The purpose of present study was to determine the levels of situational anxiety caused by the pressure of the competitive situations exposed to by child athletes and to objectively evaluate the parameters of Heart Rate Variability (HRV) and state anxiety accompanying the change in emotional state.(2022)
- Proje tabanlı öğrenimin İngilizce hazırlık sınıfı öğrencilerinin konuşma yeterlilikleri ve iletişim kurma istekleri üzerine etkisi(2025)
- The formation of Medieval Islamic economic thought within the scope of East-West interaction(2024)
- A cost comparison of rubble mound breakwater with breakwater covered by antifer block(2018)
- Enderunlu Fazıl – Hûbân-nâme (Edition critique)(2024)