ENTIRE FUNCTIONS OF STRONGLY BOUNDED L -INDEX IN DIRECTION
Keywords:
entire function, bounded L -index in direction, strongly bounded L -index in direction, directional derivative.Abstract
A concept of entire function of strongly bounded index have been generalized for a multidimensional case. We introduced a class of entire functions of strongly bounded L -index in direction and some properties of this function class are established.
References
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2. Bandura A.I. Entire functions of bounded L -index in direction / A.I.Bandura, O.B.Skaskiv // Math. Stud. – 2007. – 27, No 1. – P. 30-52 (in Ukrainian).
3. Lepson B. Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index / B.Lepson // Proc. Sympos. Pure Math. – Amer. Math. Soc.: Providence, Rhode Island. – 1968. – V. 11. – P. 298-307.
4. Kuzyk A.D. Entire functions of bounded l -distribution of valuesA.D.Kuzyk, M.M.Sheremeta // Math. notes. – 1986. – V. 39, No 1. – P. 3-8.
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Published
2019-03-05
How to Cite
Bandura, A. I., & Kulinich, H. M. (2019). ENTIRE FUNCTIONS OF STRONGLY BOUNDED L -INDEX IN DIRECTION. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(21), 31–35. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/177
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Section
Mathematics and Mechanics
