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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2018, Volume 52, Issue 3, Pages 172–179 (Mi uzeru486)  
This article is cited in 1 scientific paper (total in 1 paper)

Communications
Mathematics

On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions

B. A. Sahakyan

Yerevan State University, Faculty of Mathematics and Mechanics
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Abstract: In the paper Taylor–Maclaurin type formulas for some classes of functions are obtained. The main result of this study introduces an idea of the generalized classes of $\langle\rho_j\rangle$ completely monotone function. Under the various conditions the terms of their representation are obtained and some related theorems are proved.
Keywords: Riemann–Liouville type operators, $\langle\rho_j\rangle$ completely monotone functions.
Received: 12.12.2017
Accepted: 26.11.2018
Document Type: Article
MSC: 30H05
Language: English
Citation: B. A. Sahakyan, “On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:3 (2018), 172–179
Citation in format AMSBIB
\Bibitem{Sah18}
\by B.~A.~Sahakyan
\paper On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2018
\vol 52
\issue 3
\pages 172--179
\mathnet{http://mi.mathnet.ru/uzeru486}
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    • This publication is cited in the following 1 articles:
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