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dc.contributor.authorMehrez, Kh.-
dc.contributor.authorSitnik, S. M.-
dc.date.accessioned2021-06-09T11:04:12Z-
dc.date.available2021-06-09T11:04:12Z-
dc.date.issued2019-
dc.identifier.citationMehrez, Kh. Generalized Volterra functions, its integral representations and applications to the Mathieu-type series / Kh. Mehrez, S.M. Sitnik // Applied Mathematics and Computation. - 2019. - Vol.347.-P. 578-589. - Doi: org/10.1016/j.amc.2018.11.004. - Refer.: p. 588ru
dc.identifier.otherDoi: org/10.1016/j.amc.2018.11.004-
dc.identifier.urihttp://dspace.bsu.edu.ru/handle/123456789/41645-
dc.description.abstractIn this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox-Wright H-functions and Meijer G-functions. From positivity conditions on the weight in these representations, we found sufficient conditions on parameters of the generalized Volterra function to prove its complete monotonicityru
dc.language.isoenru
dc.subjectmathematicsru
dc.subjectmathematical analysisru
dc.subjectfunction theoryru
dc.subjectgeneralized Volterra functionsru
dc.subjectcomplete monotonicityru
dc.subjectlog-convex functionsru
dc.subjectTurán type inequalitiesru
dc.subjectMathieu-type seriesru
dc.titleGeneralized Volterra functions, its integral representations and applications to the Mathieu-type seriesru
dc.typeArticleru
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