CRITERIA OF AN ENTIRE SERIES WITH FINITE LOGARITHMIC ORDER

被引：3

作者：

Chern, Peter Tien-Yu ^{[1
]}

Kim, In-Su ^{[2
,3
]}

机构：

[1] I Shou Univ, Dept Appl Math, Kaohsiung 84099, Taiwan

[2] Chonbuk Natl Univ, Dept Math, Chonju 561756, South Korea

[3] Chonbuk Natl Univ, Inst Pure & Appl Math, Chonju 561756, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 01期

关键词：

Entire series; Maximum term; Central index; Finite logarithmic order;

D O I：

10.11650/twjm/1500406177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish criteria on entire series with finite logarithmic order in terms of several growth scales.

引用

页码：331 / 336

页数：6

共 50 条

[1] ON THE LOGARITHMIC ORDER OF ENTIRE DIRICHLET SERIES
VAISH, SK
SRIVASTAVA, GS
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1985, 16 (01): : 49 - 54
[2] ON COEFFICIENTS OF AN ENTIRE SERIES OF FINITE ORDER
JUNEJA, OP
ARCHIV DER MATHEMATIK, 1970, 21 (04) : 374 - &
[3] Wiman–Valiron Type Inequalities for Entire and Random Entire Functions of Finite Logarithmic Order
P. V. Filevich
Siberian Mathematical Journal, 2001, 42 : 579 - 586
[4] A NOTE ON COEFFICIENTS OF AN ENTIRE SERIES OF FINITE ORDER
MAZUMDAR, NC
BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY, 1968, 60 (1-2): : 77 - &
[5] NOTE ON LOGARITHMIC PROXIMATE ORDER OF ENTIRE FUNCTIONS REPRESENTED BY DIRICHLET SERIES
SRIVASTAVA, GS
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (03): : 199 - +
[6] Wiman-Valiron type inequalities for entire and random entire functions of finite logarithmic order
Filevich, PV
SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (03) : 579 - 586
[7] ON THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF FINITE LOGARITHMIC ORDER
Cao, Ting-Bin
Liu, Kai
Wang, Jun
MATHEMATICAL REPORTS, 2013, 15 (03): : 249 - 269
[8] RELATIVE LOGARITHMIC ORDER OF AN ENTIRE FUNCTION
Ghosh, Chinmay
Bandyopadhyay, Anirban
Mondal, Soumen
KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (01): : 105 - 120
[9] Power Series of Roots of Systems of Entire Functions of Finite Growth Order
Kytmanov A.M.
Myshkina E.K.
Journal of Mathematical Sciences, 2016, 213 (6) : 868 - 886
[10] INDICATORS OF THE ENTIRE FINITE-ORDER FUNCTIONS REPRESENTABLE BY THE DIRICHLET SERIES
GOLDBERG, AA
OSTROVSKY, IV
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1990, (01): : 13 - 15

← 1 2 3 4 5 →