On a generalized formula of Taylor–Maclaurin type in a neighborhood of $+\infty$
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 36-44.

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In the paper we consider systems of operators generated by Weil integral and derivative, and functions generated by exponential type functions. For a certain class of functions a generalization of Taylor–Maclaurin type formula is obtained in a neighborhood of $+\infty$.
Keywords: Weil operators
Mots-clés : Taylor–Maclaurins formulae.
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B. A. Sahakyan. On a generalized formula of Taylor–Maclaurin type in a neighborhood of $+\infty$. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2013), pp. 36-44. http://geodesic.mathdoc.fr/item/UZERU_2013_3_a5/

[1] M.M. Dzhrbashyan, Integral Transforms and Representations of Functions in the Complex Domain, Nauka, M., 1966 (in Russian) | MR

[2] M.M. Dzhrbashyan, “Riman–Liuvill’s Generalized Operator and Some Applications”, Izv. AN Arm. SSR. Ser. Mat., 3:34 (1968), 171–248 (in Russian) | Zbl

[3] B.A. Sahakyan, H.S. Kocharyan, “On a Generalization of Taylor–Maclaurin Formula for Classes of Dzrbashyan Functions”, Proceedings of the YSU. Physical and Mathematical Sciences, 2010, no. 2, 3–11

[4] M.M. Dzhrbashyan, Nersesyan A.B., “Fractional Derivatives and the Cauchy Problem for Differential Equations of Fractional Order”, Izv. AN Armenian SSR. Matematica, 3:1 (1968) (in Russian) | MR

[5] B.A. Sahakyan, “On the Reminder of a Taylor–Maclaurin Type General Formula”, Proceedings of the YSU. Physical and Mathematical Sciences, 2012, no. 3, 29–34 | Zbl