Về các hàm Mittag-Leffler đa chỉ số (3m-tham số), các quan hệ phép tính phân số và sự hội tụ của chuỗi

A. Erdélyi et al. (Ed-s), Higher Transcendental Functions, Vols. 1–3, 1st edition (McGraw-Hill, New York-Toronto-London, 1953–1955)

M. M. Dzrbashjan, Integral Transforms and Representations in the Complex Domain, 1st edition (Nauka, Moscow, 1966) (in Russian)

I. Podlubny, Fractional Differential Equations, 1st edition (Acad. Press., Boston etc., 1999)

A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, 1st edition (Elsevier, Amsterdam etc., 2006)

A. M. Mathai, H. J. Haubold, Special Functions for Applied Scientists, 1st edition (Springer, New York, 2008)

F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models, 1st edition (Imperial College Press & World Sci., London — Singapore, 2010)

V. Kiryakova, J. Comput. Appl. Math. 118, 241 (2000)

V. Kiryakova, Comput. Math. Appl. 59, 1885 (2010)

V. Kiryakova, Comput. Math. Appl. 59, 1128 (2010)

R. R. Nigmatullin, D. Baleanu, Fract. Calc. Appl. Anal. 15, 718 (2012)

R. Gorenflo, F. Mainardi, J. Comput. Appl. Math. 118, 283 (2000)

V. Kiryakova, In: AIP Conf. Proc. 1410 (AMEE’2011), 247 (2011)

M. A. E. Herzallah, D. Baleanu, Comput. Math. Appl. 64, 3059 (2012)

A. M. Mathai, H. J. Haubold, Fract. Calc. Appl. Anal. 14, 138 (2011)

T. R. Prabhakar, Yokohama. Math. J. 19, 7 (1971)

A. A. Kilbas, M. Saigo, R. K. Saxena, Integral Transforms Spec. Func. 15, 31 (2004)

T. Sandev, R. Metzler, Z. Tomovski, Fract. Calc. Appl. Anal. 15 426 (2012)

S. Yakubovich, Yu. Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions, 1st edition (Kluwer Acad. Publ., Dordrecht — Boston — London, 1994)

Yu. Luchko, Fract. Calc. Appl. Anal. 2, 463 (1999)

V. Kiryakova, Fract. Calc. Appl. Anal. 2, 445 (1999)

V. Kiryakova, Yu. Luchko, In: American Institute of Physics — Conf. Proc. 1301 (AMiTaNS’10), 597 (2010)

A. A. Kilbas, A. A. Koroleva, S. V. Rogosin, Fract. Calc. Appl. Anal. 16, 378 (2013)

J. Paneva-Konovska, C. R. Acad. Bulg. Sci. 61, 9 (2008)

J. Paneva-Konovska, Fract. Calc. Appl. Anal. 10, 59 (2007)

J. Paneva-Konovska, C. R. Acad. Bulg. Sci. 62, 75 (2009)

J. Paneva-Konovska, C. R. Acad. Bulg. Sci. 63, 815 (2010)

J. Paneva-Konovska, Integral Transforms Spec. Funct. 23, 207 (2012)

J. Paneva-Konovska, C. R. Acad. Bulg. Sci. 64, 1089 (2011)

T. Sandev, Ž. Tomovski, J. Dubbeldam, Physica A 390, 3627 (2011)

J. Paneva-Konovska, Math. Balkanica (N.S.) 26, 203 (2012)

J. Paneva-Konovska, Math. Slovaca (Accepted 12.01.2012)

V. Kiryakova, Generalized Fractional Calculus and Applications, 1st edition (Longman & J. Wiley, Harlow — N. York, 1994)

A. A. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integrals and Series. More Special Functions, 1st edition (Gordon & Breach Sci. Publ., N. York etc., 1990)

E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals. 3rd edition (Chelsea Publ., New York, 1986) (the first edition Oxford Univ. Press, Oxford, 1937)

Yu. Luchko, R. Gorenflo, Fract. Calc. Appl. Anal. 1, 63 (1998)

M. M. Dzrbashjan, Izv. AN Arm. SSR 13, No 3, 21 (1960) (in Russian)

E. M. Wright, J. London Math. Soc. 8, 71 (1933)

S. Samko, A. Kilbas, O. Marichev, Fractional Integrals and Derivatives. Theory and Applications, 1st edition (Gordon and Breach, N. York — London, 1993)

G. Pagnini, Fract. Calc. Appl. Anal. 15, 117 (2012)

P. Rusev, Classical Orthogonal Polynomials and Their Associated Functions in Complex Domain, 1st edition (Publ. House Bulg. Acad. Sci., Sofia, 2005)

J. Paneva-Konovska, Adv. Math. Sci. J. 1, 73 (2012)

G. Hardy, Divergent Series, 1st edition (Oxford University Press, Oxford, 1949)