Geodesic
On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions (part 2)
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 30-38.

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In the paper [1] particulary a concept of $\langle\rho_j, W_j\rangle$ absolutely monotone function was introduced. In the present paper some representation problems of such functions are investigated. The proofs of some fundamental lemmas and the main theorem are given.
Keywords: Riemann–Liouville type operators, $\langle\rho_j, W_j\rangle$ absolutely monotone functions. 
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B. A. Sahakyan. On the representation of $\langle\rho_j, W_j\rangle$  absolute monotone functions (part 2). Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2014), pp. 30-38. http://geodesic.mathdoc.fr/item/UZERU_2014_2_a3/

[1] B.A. Sahakyan, “Differential Operators of the Fractional Order and Associeted with the $\langle \rho_j , W_j\rangle$ Absolutely Monotone Functions”, Uchenie Zapiski EGU, 1975, no. 1, 3–9 (in Russian)

[2] B.A. Sahakyan, “On the Representation of $\langle \rho_j , W_j\rangle$ Absolute Monotone Functions”, Proceedings of the YSU. Phys. Math. Scienses, 2014, no. 1, 26–34 | Zbl

[3] B.A. Sahakyan, PhD Thesis, YSU press, Yer., 1975, 1122 pp. (in Russian)

[4] M.M. Dzhrbashyan, “Extention of Quasianalytical Classes of Denjoy–Carleman”, Izv. AN Arm. SSR. Ser. Matem., 3:34 (1968), 171–248 (in Russian) | MR | Zbl