Multiterm power asymptotics of entire Dirichlet series and characteristic functions of probability laws 

Author 
YuliaStets@mail.ru, m_ m_sheremeta@list.ru, ljubasik26@gmail.com
Ivan Franko National University of Lviv

Abstract 
For entire Dirichlet series and entire characteristic functions of a probability law in terms of
multiterm 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

Keywords 
Dirichlet series; characteristic function; multiterm asymptotics

DOI 
doi:10.15330/ms.43.2.160170

Reference 
1. M.M. Sheremeta, Twotermed 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 nmember 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 ntermed asymptotics, Mat. Stud., 19 (2003), ¹1, 83–88. 5. M.M. Grytsiv, M.M. Sheremeta, Threeterm 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, Threeterm 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 
160170

Volume 
43

Issue 
1

Year 
2015

Journal 
Matematychni Studii

Full text of paper  
Table of content of issue 