q-Bessel positive definite and D q -completely monotonic functions

q-Bessel positive definite and D q -completely monotonic functions This paper deals with firstly the analogue of the Bochner theorem related to q-Bessel function of the third kind and secondly we give a new proof of the analogue of Bernstein’s theorem via the q-Taylor formula. Finally we show that the q-Bessel positive definite and D q -completely monotonic functions are linked. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

q-Bessel positive definite and D q -completely monotonic functions

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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Basel AG
Subject
Mathematics; Potential Theory; Operator Theory; Fourier Analysis; Econometrics; Calculus of Variations and Optimal Control; Optimization
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-011-0115-y
Publisher site
See Article on Publisher Site

Abstract

This paper deals with firstly the analogue of the Bochner theorem related to q-Bessel function of the third kind and secondly we give a new proof of the analogue of Bernstein’s theorem via the q-Taylor formula. Finally we show that the q-Bessel positive definite and D q -completely monotonic functions are linked.

Journal

PositivitySpringer Journals

Published: Feb 17, 2011

References

  • A completely monotone function related to the gamma function
    Berg, C.; Perdersen, H.L.

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