Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (5)
- Authors
- Mkrtchyan, Aleksandr J.
- Contact information
- Mkrtchyan, Aleksandr J.: Siberian Federal University Krasnoyarsk, Russian Federation Institute of Mathematics National Academy of Sciences of the Republic of Armenia Yerevan, Armenia;
- Keywords
- power series; analytic continuation; indicator function
- Abstract
We consider the problem of power series analytic continuation by coefficients interpolation by entire or meromorphic functions. We prove uniqueness of an interpolating function with some properties. Also, under assumptions of Polya‘s theorem about extendability of the sum of power series to the whole complex plane, except, possibly, some boundary arc, we find at least one singular point location
- Pages
- 555-558
- DOI
- 10.17516/1997-1397-2022-15-5-555-558
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/148520
Journal of Siberian Federal University. Mathematics & Physics / Uniqueness of an Interpolating Entire Function with Some Properties
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