Geodesic
On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 26-34.

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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 $\Big\{W_j (x)\Big\}^{\infty}_0$ 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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B. A. Sahakyan. On the representation of $\langle\rho_j, W_j\rangle$ absolute monotone functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 26-34. http://geodesic.mathdoc.fr/item/UZERU_2014_1_a5/

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

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

[3] M.M. Dzhrbashyan, “The Extension of Quasi-Analytic Classes Denjoy-Carleman”, Izv. AN Arm. SSR. Ser. Mat., 3:4 (1968), 171–248 (in Russian) | Zbl

[4] S. Karlin, W. Studden, Tchebycheff Systems: with Applications in Analysis and Statics, v. 9, Interscience Publishers, NY, 1966, 381–436

[5] B.A. Sahakyan, “Differential operators of fractional order and absolutely monotone functions associated with them”, Izv. AN Arm. SSR. Ser. Mat., 1974, no. 4, 285–307 (in Russian)

[6] S.N. Bernstein, “Absolutely Monotonic Functions”, Sbornik Trudov, v. 1, Izdat. AN SSSR, M., 1952, 370–425 (in Russian)

[7] M.M. Dzhrbashyan, B.A. Sahakyan, “Classes of formulas and expansions of Taylor-Maclaurin type associated with fractional order differential operators”, Izv. AN SSSR. Mathematica, 39:1 (1975), 69–122 (in Russian) | Zbl