Complete Monotonicity and Zeros of Sums of Squared Baskakov Functions
  We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the central Baskakov case we study the distribution of the complex zeros for large values of a parameter. We finally discuss the extension of some results for sums of higher powers. 
Ulrich Abel, Wolfgang Gawronski, Thorsten Neuschel
math.CA math.CV