http://dspace.bsu.edu.ru/handle/123456789/41645
Title: | Generalized Volterra functions, its integral representations and applications to the Mathieu-type series |
Authors: | Mehrez, Kh. Sitnik, S. M. |
Keywords: | mathematics mathematical analysis function theory generalized Volterra functions complete monotonicity log-convex functions Turán type inequalities Mathieu-type series |
Issue Date: | 2019 |
Citation: | Mehrez, 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. 588 |
Abstract: | In 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 monotonicity |
URI: | http://dspace.bsu.edu.ru/handle/123456789/41645 |
Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
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Sitnik_Generalized.pdf | 431.26 kB | Adobe PDF | View/Open |
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