Estimation of growths of composite entire and meromorphic functions using their generalized relative orders
Abstract
In this paper we establish some newly developed results related to the growth rates of composite entire and meromorphic functions on the basis of their generalized relative orders and generalized relative lower orders.
Keywords
References
- L. Bernal : Crecimiento relativo de funciones enteras. Contribución al estudio de lasfunciones enteras con13 ̆053'fndice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
- L. Bernal : Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
- W. Bergweiler : On the Nevanlinna characteristic of a composite function, Complex Variables, Vol. 10 (1988), pp. 225-236.
- W. Bergweiler : On the growth rate of composite meromorphic functions, Complex Variables, Vol. 14 (1990), pp. 187-196.
- D. Banerjee and S. Jana : Meromorphic functions of relative order (p,q), Soochow Journal of Mathematics, Vol. 33, No. 3 (July, 2007), pp. 343-357.
- S. K. Datta and T. Biswas : Growth of entire functions based on relative order, Int. J. Pure Appl. Math., Vol. 51, No. 1 (2009), pp. 49-58.
- S. K. Datta and T. Biswas : Relative order of composite entire functions and some related growth properties, Bull. Cal. Math. Soc., Vol.102, No.3 (2010) pp.259-266.
- S. K. Datta , T. Biswas and R. Biswas : On relative order based growth estimates of entire functions, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 7, No. II (March, 2013), pp. 59-67.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Sanjib Kumar Datta
*
India
Tanmay Biswas
This is me
India
Jinarul Haque Shaikh
This is me
India
Publication Date
September 30, 2016
Submission Date
April 6, 2016
Acceptance Date
June 5, 2016
Published in Issue
Year 2016 Volume: 4 Number: 3