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平面上零级Dirichlet级数和随机Dirichlet级数的上下级

曹月波 杨祺 田宏根

数学杂志2011,Vol.31Issue(5):945-951,7.
数学杂志2011,Vol.31Issue(5):945-951,7.

平面上零级Dirichlet级数和随机Dirichlet级数的上下级

THE ORDER AND THE LOWER ORDER OF DIRICHLET SERIES OF ZERO-ORDER ON THE PLANE

曹月波 1杨祺 2田宏根2

作者信息

  • 1. 石河子大学师范学院,新疆石河子832003
  • 2. 新疆师范大学数理信息学院,新疆乌鲁木齐830054
  • 折叠

摘要

Abstract

In this paper, the order and the lower-order of the Dirichlet series and random Dirichlet series on the plane are studied by using Newton polygon. The important relations between the order, the lower order and its coefficients are obtained under certain conditions. The research scope of the growth of the Dirichlet series and random Dirichlet series on the plane is promoted.

关键词

Dirichlet级数/增长性/零级/型函数/下级

Key words

Dirichlet series/growth/zero-order/type-function/lower-order

分类

数理科学

引用本文复制引用

曹月波,杨祺,田宏根..平面上零级Dirichlet级数和随机Dirichlet级数的上下级[J].数学杂志,2011,31(5):945-951,7.

基金项目

新疆师范大学优秀青年教师科研启动基金资助(XJNU0816).石河子大学高层次人才科研启动资金专项(RCZX200733). (XJNU0816)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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