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

Sanjib Kumar Datta , Tanmay Biswas Pulak Sahoo

Abstract

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.

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.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sanjib Kumar Datta

Tanmay Biswas This is me

Pulak Sahoo This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Datta, S. K., Biswas, T., & Sahoo, P. (2017). Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders. New Trends in Mathematical Sciences, 5(1), 13-25.
AMA Datta SK, Biswas T, Sahoo P. Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders. New Trends in Mathematical Sciences. January 2017;5(1):13-25.
Chicago Datta, Sanjib Kumar, Tanmay Biswas, and Pulak Sahoo. “Computation of Growth Rates of Composite Entire and Meromorphic Functions from the View Point of Their Relative L*-Orders”. New Trends in Mathematical Sciences 5, no. 1 (January 2017): 13-25.
EndNote Datta SK, Biswas T, Sahoo P (January 1, 2017) Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders. New Trends in Mathematical Sciences 5 1 13–25.
IEEE S. K. Datta, T. Biswas, and P. Sahoo, “Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 13–25, 2017.
ISNAD Datta, Sanjib Kumar et al. “Computation of Growth Rates of Composite Entire and Meromorphic Functions from the View Point of Their Relative L*-Orders”. New Trends in Mathematical Sciences 5/1 (January2017), 13-25.
JAMA Datta SK, Biswas T, Sahoo P. Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders. New Trends in Mathematical Sciences. 2017;5:13–25.
MLA Datta, Sanjib Kumar et al. “Computation of Growth Rates of Composite Entire and Meromorphic Functions from the View Point of Their Relative L*-Orders”. New Trends in Mathematical Sciences, vol. 5, no. 1, 2017, pp. 13-25.
Vancouver Datta SK, Biswas T, Sahoo P. Computation of growth rates of composite entire and meromorphic functions from the view point of their relative L*-orders. New Trends in Mathematical Sciences. 2017;5(1):13-25.