Abstract:
We consider series of the form $\sum\limits_{n=0}a_n\Omega^{(\rho)}_{\mu,n}(x,\{\lambda_j\}^n_0)$, where $\Omega ^{(\rho)}_{\mu,n}(x,\{\lambda_j\}^n_0)$ is a linear combination of Mittag-Leffler type functions, and a theorem similar to Abel's theorem for power series is proved.