
Boundedness of lindex of analytic curves 
Author 
M. T. Bordulyak, M. M. Sheremeta
mbordulyak@yahoo.com, m_m_sheremeta@list.ru
Lviv Ivan Franko National University

Abstract 
We introduce a concept of an analytic curve of bounded lindex and investigate possible
growth of such curves. Moreover, lindex boundedness of analytic curves satisfying linear dif
ferential equations is investigated. 
Keywords 
analytic function, analytic curve; bounded lindex; system of linear differential equations 
Reference 
1. Sheremeta M.M. Analytic functions of bounded index. – Lviv: VNTL Publishers. – 1999. – 141p.
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3. Roy R., Shah S.M. Vectorvalued entire functions satisfying a differential equation// J. Mat. Anal. Appl.
– 1986. – V.116. – P. 349–362.
4. Roy R., Shah S.M. Growth properties of vector entire functions satisfying differential equations// Indian
J. Math. – 1986. – V.28, ¹1. – P. 25–35.
5. Hayman W.K. Differential inequalities and local valence// Pacific J. Mat. – 1973. – V.44. – P. 117–137.

Pages 
152161 
Volume 
36 
Issue 
2 
Year 
2011 
Journal 
Matematychni Studii 
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