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Boundedness of l-index of analytic curves |
| Author |
M. T. Bordulyak, M. M. Sheremeta
mbordulyak@yahoo.com, m_m_sheremeta@list.ru
Lviv Ivan Franko National University
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| Abstract |
We introduce a concept of an analytic curve of bounded l-index and investigate possible
growth of such curves. Moreover, l-index boundedness of analytic curves satisfying linear dif-
ferential equations is investigated. |
| Keywords |
analytic function, analytic curve; bounded l-index; system of linear differential equations |
| Reference |
1. Sheremeta M.M. Analytic functions of bounded index. – Lviv: VNTL Publishers. – 1999. – 141p.
2. Heath L.F. Vector-valued entire functions of bounded index satisfying a differential equation// J. Res. Nat.
Bur. Standards. – 1978. – V.83, ¹1. – P. 75–79.
3. Roy R., Shah S.M. Vector-valued 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.
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| Pages |
152-161 |
| Volume |
36 |
| Issue |
2 |
| Year |
2011 |
Journal |
Matematychni Studii |
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