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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 1984, Issue 1, Pages 26–35 (Mi uzeru1102)

Mathematics

On a theorem of Abel’s type

B. A. Sahakyan

Yerevan State University

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.

UDC: 517.5

Received: 01.04.1983
Accepted: 01.06.1984



© Steklov Math. Inst. of RAS, 2026