RUS  ENG
Full version
JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2025 Volume 28, Number 1, Pages 16–38 (Mi mt725)

Mittag–Lefler restoration formula for discrete analytical functions

O. A. Danilov, X. Lu, L. Liu

Novosibirsk State University, Novosibirsk, Russia

Abstract: The paper proves that for any entire analytic function of order greater than one and of normal type, the associated series composed of discrete analytic polynomials converges absolutely in the positive quadrant of the Gaussian plane.

Key words: Borel transform, entire function, discrete analytic function, Taylor series.

UDC: 517.53

Received: 27.12.2024
Revised: 26.01.2025
Accepted: 29.01.2025

DOI: 10.25205/1560-750X-2025-28-1-16-38



© Steklov Math. Inst. of RAS, 2025