On Dirichlet series similar to Hadamard compositions in half-plane

被引：2

作者：

Bandura, A. I. ^{[1
]}

Mulyava, O. M. ^{[2
]}

Sheremeta, M. M. ^{[3
]}

机构：

[1] Ivano Frankivsk Natl Tech Univ Oil & Gas, 15 Karpatska Str, UA-76019 Ivano Frankivsk, Ukraine

[2] Natl Univ Food Technol, 68 Volodymyrska Str, UA-01033 Kiev, Ukraine

[3] Ivan Franko Natl Univ Lviv, 1 Univ Ska St, UA-79001 Lvov, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Dirichlet series; Hadamard composition; generalized order; generalized type; generalized convergence class; pseudostarlikeness; pseudoconvexity;

D O I：

10.15330/cmp.15.1.180-195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F(s) = n-ary sumation n=1 an exp{sAn} and Fj (s) = n-ary sumation n= 1 an,j exp{sAn}, j = 1, p, be Dirichlet series with expo-nents 0 & LE; An & UARR; +00, n & RARR; 00, and the abscissas of absolutely convergence equal to 0. The function F is called Hadamard composition of the genus m & GE; 1 of the functions Fj if an = P(an,1, ... , an,p), where P(x1, . . . , xp) = n-ary sumation k1+& BULL;& BULL;& BULL;+kp=m of generalized orders and convergence classes the connection between the growth of the functions Fj and the growth of the Hadamard composition F of the genus m & GE; 1 of Fj is investigated. The pseudostarlikeness and pseudoconvexity of the Hadamard composition of the genus m & GE; 1 are studied. ck1... kpxk1 1 & BULL;& BULL;& BULL; xkp p is a homogeneous polynomial of degree m. In terms

引用

页码：180 / 195

页数：16

共 17 条

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