Sanjib Kumar DATTA, Tanmay BİSWAS, Pulak SAHOO

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

ISSN: 2147-5520
Başlangıç: 2015
Yayıncı: Biska Bilişim

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,

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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.