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Complete monotonicity and zeros of sums of squared Baskakov functions

Author

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  • Abel, Ulrich
  • Gawronski, Wolfgang
  • Neuschel, Thorsten

Abstract

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.

Suggested Citation

  • Abel, Ulrich & Gawronski, Wolfgang & Neuschel, Thorsten, 2015. "Complete monotonicity and zeros of sums of squared Baskakov functions," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 130-137.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:130-137
    DOI: 10.1016/j.amc.2015.01.062
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    Cited by:

    1. Raşa, Ioan, 2015. "Entropies and Heun functions associated with positive linear operators," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 422-431.

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