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 Proceedings of the YSU, Physical and Mathematical Sciences, 2014, Issue 1, Pages 26–34 (Mi uzeru47)

Mathematics

On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions

B. A. Sahakyan

Yerevan State University

Abstract: In the paper [1] the notion of the $\langle\rho_j, W_j\rangle$ absolutely monotone function was introduced. In the present paper we give some examples of sequences $\{W_j (x)\}^{\infty}_0$ consider the corresponding classes of $\langle\rho_j, W_j\rangle$ absolute monotone functions and study the problems of thei representation.

Keywords: operators of Riemann-Liouville type, $\langle\rho_j, W_j\rangle$ absolutely monotone functions.

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MSC: 30H05
Accepted:23.01.2014
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Citation: B. A. Sahakyan, “On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 1, 26–34

Citation in format AMSBIB
\Bibitem{Sah14} \by B.~A.~Sahakyan \paper On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions \jour Proceedings of the YSU, Physical and Mathematical Sciences \yr 2014 \issue 1 \pages 26--34 \mathnet{http://mi.mathnet.ru/uzeru47} 

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This publication is cited in the following articles:
1. B. A. Sahakyan, “On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions (p. 2)”, Proceedings of the YSU, Physics & Mathematics, 2014, no. 2, 30–38
2. B. A. Sahakyan, “On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions”, Uch. zapiski EGU, ser. Fizika i Matematika, 52:3 (2018), 172–179
3. B. A. Sahakyan, “On the $\langle\rho_j, W_j\rangle$ generalized completely monotone functions”, Uch. zapiski EGU, ser. Fizika i Matematika, 54:1 (2020), 35–43
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