Geodesic
Uniqueness of an interpolating entire function with some properties
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 555-558

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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.
Keywords: power series, analytic continuation, indicator function. 
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     author = {Aleksandr J. Mkrtchyan},
     title = {Uniqueness of an interpolating entire function with some properties},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {555--558},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a0/}
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Aleksandr J. Mkrtchyan. Uniqueness of an interpolating entire function with some properties. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 555-558. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a0/