Nonasymptotic results on distribution of zeros of the functionE ρ(z, μ)

M. M. Dzhrbashyan,Integral transforms and representations of functions in the complex domain, Nauka (Moscow, 1966) (in Russian). A. M. Sedletskii, Asymptotic formulas for zeros of a function of Mittag-Leffler’s type,Analysis Math.,20(1994), 117–132 (in Russian). A. Wiman, Über die Nulstellen der FunktionenE α(x),Acta Math.,29(1905), 217–234. G. Pólya, Bemerkung über die Mittag-Lefflerschen FunktionenE α(z),Tôhoku Math. J.,19(1921), 241–248. M. M. Dzhrbashyan andA. B. Nersesyan, Expansions associated with some biorthogonal systems and boundary problems for differential equations of fractional order,Trudy Moskow. Math. Obshch.,10(1961), 89–179 (in Russian). M. M. Dzhrbashyan, Differential operators of fractional order and boundary value problems in the complex domain,Oper. Theory Adv. Appl.,41(1989), 153–172. J. V. Linnik andI. V. Ostrovskii,Decomposition of random variables and vectors, Amer. Math. Soc. (Providence, RI, 1977); (Russian original: Nauka (Moscow, 1972)). G. H. Hardy andW. W. Rogosinski,Fourier series, Univ. Press (Cambridge, 1956). B. Ja. Levin,Distribution of zeros of entire functions, Amer. Math. Soc. (Providence, RI, 1980); (Russian original: Gostekhizdat (Moscow, 1956)).