Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders

Year 2017, Volume: 5 Issue: 1, 13 - 25, 01.01.2017

Sanjib Kumar Datta , Tanmay Biswas Pulak Sahoo

Abstract

In the paper  we
establish some new results depending on the comparative growth properties of
composite entire or meromorphic functions using relative L*-order and relative  L*-lower order as compared to their corresponding left and right factors.

Keywords

Entire function, meromorphic function, composition, growth, relative L^*-order, relative L^*-lower order

References

• W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990), pp.187-196.
• W. K. Hayman : Meromorphic Functions, The Clarendon Press, Oxford, 1964.
• T.V. Lakshminarasimhan : A note on entire functions of bounded index, J. Indian Math. Soc., Vol. 38 (1974), pp. 43-49.
• B. K. Lahiri and D. Banerjee : Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India, Vol. 61(A) (2004) No. III, pp.339-354.
• S. K. Singh and G. P. Barker : Slowly changing functions and their applications, Indian J. Math., Vol. 19 (1977), No. 1, pp 1-6.
• D. Somasundaram and R. Thamizharasi : A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl.Math., Vol.19 (March 1988), No. 3, pp. 284-293.
• G. Valiron : Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.