6 research outputs found
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