ABSTRACT
Some new relations for the Owen function are obtained including differentiation and integration formulas, integral representations and series. Applications of the Owen function in probability theory and in communication theory are shown.
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Disclosure statement
No potential conflict of interest was reported by the authors.
Funding
This work was supported by the Russian Foundation for Fundamental Research [Project No. 13–00334].
ORCID
N. V. Savischenko http://orcid.org/0000-0001-5282-2506