Mathematics Letters

Volume 2, Issue 6, December 2016

  • The Geometric Interpretation of Some Mathematical Expressions Containing the Riemann ζ-Function

    Yuriy N. Zayko

    Issue: Volume 2, Issue 6, December 2016
    Pages: 42-46
    Received: 6 October 2016
    Accepted: 10 November 2016
    Published: 17 December 2016
    DOI: 10.11648/j.ml.20160206.11
    Downloads:
    Views:
    Abstract: The article discusses some of the mathematical results widely used in practice which contain the Riemann ζ-function, and, at first glance, are in contradiction with common sense. A geometric approach is suggested, based on the concept of the curvature of space, in which is calculated an algorithm that specifies the representation of ζ-function as a... Show More
  • Relations Among Certain Generalized Hyper-Geometric Functions Suggested by N-fractional Calculus

    Maged Gumaan Bin-Saad

    Issue: Volume 2, Issue 6, December 2016
    Pages: 47-57
    Received: 27 August 2016
    Accepted: 19 November 2016
    Published: 20 December 2016
    DOI: 10.11648/j.ml.20160206.12
    Downloads:
    Views:
    Abstract: The subject of fractional calculus has gained importance and popularity during the past three decades. Based upon the N-fractional calculus we introduce a new N-fractional operators involving hyper-geometric function. By means of these N-fractional operators a number of operational relations among the hyper-geometric functions of two, three, four a... Show More