Discrete Parabolic Functions and Taylor Series Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 6, Pages: 1409-1421 Pages count : 13 DOI: 10.1134/s0037446625060084 | ||||
| Tags | entire function, discrete parabolic function, Taylor series, Gelfond–Sheffer theorem | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0026 |
Abstract:
We prove that every discrete parabolic function defined in the positive quadrant of the Gaussian plane admits an expansion into an absolutely convergent Taylor series with respect to a system of pseudopowers.
Cite:
Lu X.
, Danilov O.A.
, Mednykh A.D.
Discrete Parabolic Functions and Taylor Series
Siberian Mathematical Journal. 2025. V.66. N6. P.1409-1421. DOI: 10.1134/s0037446625060084 WOS Scopus РИНЦ OpenAlex
Discrete Parabolic Functions and Taylor Series
Siberian Mathematical Journal. 2025. V.66. N6. P.1409-1421. DOI: 10.1134/s0037446625060084 WOS Scopus РИНЦ OpenAlex
Original:
Лу С.
, Данилов О.А.
, Медных А.Д.
Дискретные параболические функции и ряды Тейлора
Сибирский математический журнал. 2025. Т.66. №6. С.1079-1093. DOI: 10.33048/smzh.2025.66.608
Дискретные параболические функции и ряды Тейлора
Сибирский математический журнал. 2025. Т.66. №6. С.1079-1093. DOI: 10.33048/smzh.2025.66.608
Dates:
| Submitted: | Dec 27, 2024 |
| Accepted: | May 25, 2025 |
| Published print: | Nov 24, 2025 |
| Published online: | Nov 24, 2025 |
Identifiers:
| Web of science: | WOS:001622319900010 |
| Scopus: | 2-s2.0-105022712669 |
| Elibrary: | 84013586 |
| OpenAlex: | W7106581962 |
Citing:
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