Browsing by Subject "Zeros"

Now showing items 1-2 of 2

    • Article  

      An extension of Vietoris's inequalities 

      Koumandos, S. (2007)
      We establish a best possible extension of a famous Theorem of Vietoris about the positivity of a general class of cosine sums. Our result refines and sharpens several earlier generalizations of this Theorem, and settles ...
    • Article  

      The zeros of certain Lommel functions 

      Koumandos, S.; Lamprecht, M. (2012)
      Lommel's function s μ,ν(z) is a particular solution of the differential equation z 2y″ + zy′ + (z 2 - ν 2)y = z μ+1. Here we present estimates and monotonicity properties of the positive zeros of s μ-1/2,1/2(z) when μ ∈ ...