Volume 50, Issue 1
On $[p, q]$-Order of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc

Jianren Long

J. Math. Study, 50 (2017), pp. 91-100.

Published online: 2017-03

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  • Abstract

We study the growth of solutions of higher order complex linear differential equations in an angular domain of the unit disc instead of the whole unit disc. Some estimations of $[p,q]$-order of solutions of the higher order differential equations in an angular domain are found in this paper.

  • AMS Subject Headings

34M10, 30D35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

longjianren2004@163.com (Jianren Long)

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@Article{JMS-50-91, author = {Long , Jianren}, title = {On $[p, q]$-Order of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc}, journal = {Journal of Mathematical Study}, year = {2017}, volume = {50}, number = {1}, pages = {91--100}, abstract = {

We study the growth of solutions of higher order complex linear differential equations in an angular domain of the unit disc instead of the whole unit disc. Some estimations of $[p,q]$-order of solutions of the higher order differential equations in an angular domain are found in this paper.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n1.17.07}, url = {http://global-sci.org/intro/article_detail/jms/982.html} }
TY - JOUR T1 - On $[p, q]$-Order of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc AU - Long , Jianren JO - Journal of Mathematical Study VL - 1 SP - 91 EP - 100 PY - 2017 DA - 2017/03 SN - 50 DO - http://doi.org/10.4208/jms.v50n1.17.07 UR - https://global-sci.org/intro/article_detail/jms/982.html KW - Complex differential equation, analytic function, $[p,q]$-order, angular domain, unit disc. AB -

We study the growth of solutions of higher order complex linear differential equations in an angular domain of the unit disc instead of the whole unit disc. Some estimations of $[p,q]$-order of solutions of the higher order differential equations in an angular domain are found in this paper.

Long , Jianren. (2017). On $[p, q]$-Order of Solutions of Higher Order Complex Linear Differential Equations in an Angular Domain of Unit Disc. Journal of Mathematical Study. 50 (1). 91-100. doi:10.4208/jms.v50n1.17.07
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