Multi-term power asymptotics of entire Dirichlet series and characteristic functions of probability laws |
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| Author |
YuliaStets@mail.ru, m_ m_sheremeta@list.ru, ljubasik26@gmail.com
Ivan Franko National University of Lviv
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| Abstract |
For entire Dirichlet series and entire characteristic functions of a probability law in terms of
multi-term power asymptotics it is investigated the relation between the growth of the maximum
modulus and the behavior of coefficients and the function of the distribution respectively
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| Keywords |
Dirichlet series; characteristic function; multi-term asymptotics
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| DOI |
doi:10.15330/ms.43.2.160-170
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| Reference |
1. M.M. Sheremeta, Two-termed asymptotic of entire Dirichlet series, Teor. funkcii, funkc. analysis and ih
prilozh., 54 (1990), 16–25. (in Russian)
2. M.M. Sheremeta, On the second term of asymptotic behaviour of entire Dirichlet series, J. Analysis, 3 (1995), 213–218. 3. O.M. Sumyk, On n-member asymptotics for logarithm of maximal term of entire Dirichlet series, Mat. Stud., 15 (2001), ¹2, 200–208. 4. O.M. Sumyk, M.M. Sheremeta, On connection between the growth of maximum modulus and maximal term of entire Dirichlet series in terms of n-termed asymptotics, Mat. Stud., 19 (2003), ¹1, 83–88. 5. M.M. Grytsiv, M.M. Sheremeta, Three-term exponential asymptotic for logarithm of the maximal term of entire Dirichlet series, Mat. Stud., 35 (2011), ¹1, 37–49. (in Ukrainian) 6. M.M. Sheremeta, L.L. Luhova, Three-term power asymptotic for logarithm of the maximal term of entire Dirichlet series, Mat. Stud., 25 (2006), ¹2, 149–168. (in Ukrainian) 7. Ju.V. Linnik, I.V. Ostrovskii, Decomposition of random variables and vectors. – Moscow: Nauka, 1972. – 479 p. (in Russian) 8. M.M. Sheremeta, Yu.V. Stets, O.M. Sumyk, Estimates of a sum of Dirichlet series, Ukr. Math. Bull., 10 (2013), ¹2, 234–253. 9. M.M. Sheremeta, Yu.V. Stets, O.M. Sumyk, Estimates of a sum of Dirichlet series, Journ. of Math. Science, 194 (2013), ¹5, 557–572. 10. M.V. Zabolotskyi, M.M. Sheremeta, The generalization of Lindel¨of theorem, Ukr. Math. Journal, 50 (1998), ¹9, 1177–1192. (in Ukrainian) 11. M.M. Sheremeta, O.M. Sumyk, A connection between the growth of Young conjugate functions, Mat. Stud., 11 (1999), ¹1, 41–47. (in Ukrainian) |
| Pages |
160-170
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |