On the basic properties of generalized relative order of entire functions

Abstract

Some basic properties in connection to generalized relative order and generalized relative lower order of entire functions have been discussed in this paper.

Keywords

• Entire functions,generalized relative order,generalized relative lower order,regular relative growth

Kaynakça

1. L. Bernal , Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
2. L. Bernal, Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
3. S. K. Datta, T. Biswas, C. Biswas , Generalized relative lower order of entire functions, Mathematicki Vesnik, Accepted for publication.
4. W. K. Hayman, Meromorphic functions, The Clarendon Press, Oxford (1964).
5. B. K. Lahiri, D. Banerjee : Generalised relative order of entire functions, Proc. Nat. Acad. Sci. India, Vol 72(A), No. IV (2002), pp. 351-371.
6. D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., Vol. 69 (1963), pp. 411-414.
7. E. C. Titchmarsh, The Theory of Functions , 2nd ed. Oxford University Press, Oxford (1968).
8. G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company (1949).