THE ORDER OF ENTIRE FUNCTIONS OF BOUNDED INDEX IN DIRECTION
Keywords:
entire function, bounded L -index in direction, directional derivative, linear differential equation, order of entire functionAbstract
Estimates of order of entire solutions for partial differential equations are obtained. These solutions are functions of bounded index in direction.
References
1. S. M. Shah, Entire functions of bounded index. Proc. Amer. Math. Soc. 19, 1017-1022 (1968).
2. H. Wittich, Neuere Untersuchungen fiber eindeutige analytische Funktionen. Berlin 1955.
3. Boo Sang Lee, S. M. Shah, The type of an entire function satisfying a linear differential equation // Arch. Math. – 1969. – 20, No 6. – P. 616-622.
4. Bandura A. I., Skaskiv O. B. Sufficient sets for boundedness L -index in direction for entire functions // Mat.Stud. – 2008. – 30, No 2. – P. 177-182.
5. Bandura A. I., Skaskiv O. B. Entire functions of bounded L -index in direction // Math. Stud. – 2007. – 27, No 1. – P. 30-52 (Ukrainian).
2. H. Wittich, Neuere Untersuchungen fiber eindeutige analytische Funktionen. Berlin 1955.
3. Boo Sang Lee, S. M. Shah, The type of an entire function satisfying a linear differential equation // Arch. Math. – 1969. – 20, No 6. – P. 616-622.
4. Bandura A. I., Skaskiv O. B. Sufficient sets for boundedness L -index in direction for entire functions // Mat.Stud. – 2008. – 30, No 2. – P. 177-182.
5. Bandura A. I., Skaskiv O. B. Entire functions of bounded L -index in direction // Math. Stud. – 2007. – 27, No 1. – P. 30-52 (Ukrainian).
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Published
2019-03-06
How to Cite
Bandura, A. I., Kulinich, H. M., & Shegda, L. M. (2019). THE ORDER OF ENTIRE FUNCTIONS OF BOUNDED INDEX IN DIRECTION. PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number, (1(25), 22–25. Retrieved from https://pvntsh.nung.edu.ua/index.php/number/article/view/200
Issue
Section
Mathematics and Mechanics
