A Carleman formula for multiplicatively periodic meromorphic functions in the punctured closure of the upper half-plane
1 Department of Engineering Mechanics, Hetman Petro Sahaidachny National Army Academy, Lviv, 79026, Ukraine
2 The National Academy of Ground Forces named after Hetman Petro Sahaidachny, Lviv, 79026, Ukraine
3 Department of theory of functions and functional analysis, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords:
distribution of value of meromorphic functions, multiplicatively periodic meromorphic function, Carleman formula
Abstract
Carleman formula for multiplicatively periodic meromorphic functions in the punctured closure of the upper half-plane is proved.
References
[1] Goldberg A.A., Ostrovsky I.V. (1970). Distribution of values of meromorphic functions. Moscow: Science
[2] Eisenberg L.A. (1990). Carleman Formulas in Complex Analysis. Novosibirsk: Science.
[3] Rausenberger O. (1884). Lehrbuch der Theorie der periodischen Funktionen einer Variabeln. Leipzig: Druck und Ferlag von B.G.Teubner.
[4] Khoroshchak V. S., Sokulska N. B. (2014) Multiplicatively periodic meromorphic functions in the upper halfplane. Matematychni Studii, 42 (2), 143–148.
Cite
- ACS Style
- Sokulska, N.B.; Khoroshchak, V.S.; Khrystiyanyn, .Y. A Carleman formula for multiplicatively periodic meromorphic functions in the punctured closure of the upper half-plane. Bukovinian Mathematical Journal. 2018, 6 https://doi.org/https://doi.org/10.31861/bmj2018.01.112
- AMA Style
- Sokulska NB, Khoroshchak VS, Khrystiyanyn Y. A Carleman formula for multiplicatively periodic meromorphic functions in the punctured closure of the upper half-plane. Bukovinian Mathematical Journal. 2018; 6(1-2). https://doi.org/https://doi.org/10.31861/bmj2018.01.112
- Chicago/Turabian Style
- Natalia Bogdanivna Sokulska, V. S. Khoroshchak, Andriy Yaroslavovych Khrystiyanyn. 2018. "A Carleman formula for multiplicatively periodic meromorphic functions in the punctured closure of the upper half-plane". Bukovinian Mathematical Journal. 6 no. 1-2. https://doi.org/https://doi.org/10.31861/bmj2018.01.112
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