Geodesic
On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 172-179

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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. 
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     author = {B. A. Sahakyan},
     title = {On a generalized formula of {Taylor{\textendash}Maclaurin} type on the generalized completely monotone functions},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a3/}
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B. A. Sahakyan. On a generalized formula of Taylor–Maclaurin type on the generalized completely monotone functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 172-179. http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a3/