Relative growth of Dirichlet series |
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| Author |
m_m_sheremeta@gmail.com2
1) Ivan Franko National University of Lviv, Lviv, Ukraine; 2) Ivan Franko National University of Lviv, Lviv, Ukraine
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| Abstract |
Let F and G be entire functions given by Dirichlet series with exponents increasing to $+\infty$.
In the term of generalized order it is introduced a concept of their relative growth and its
connection with the growth of F and the growth of G is shown.
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| Keywords |
Dirichlet series; generalized order; relative growth
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| DOI |
doi:10.15330/ms.49.2.158-164
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| Reference |
1. Roy Ch. On the relative order and lower relative order of an entire function// Bull. Cal. Math. Soc. –
2010. – V.102, ¹1. – P. 17–26.
2. Sheremeta Ì.Ì. Asymptotic behaviours of entire functions given by power series and Dirichlet series – Abstract of thesis of doct. diss. – Êiev, 1987. – 20 p. (in Russian) 3. Kulyavec’ L.V., Mulyava O.M. On the growth of a class of entire Dirichlet series// Carpatian Mat. Publ. – 2014. – V.6, ¹2. – P. 300–309. (in Ukrainian) |
| Pages |
158-164
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| Volume |
49
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| Issue |
2
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| Year |
2018
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |