Comparative growth analysis of wronskians in the light of their relative orders

Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque

Abstract


In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.

Keywords


entire function; meromorphic function; order (lower order); relative order (relative lower order); property (A); growth; wronskian

Mathematics Subject Classification (2010)


30D20; 30D30; 30D35

References


Bernal, L. "Crecimiento Relativo de Funciones Enteras. Aportaciones al estudio de las funciones enteras con índice exponencial finito." Doctoral Dissertation. Seville: University of Seville, 1984.

Bernal, L. "Relative growth order of entire functions." (Spanish) Collect. Math. 39.3 (1988): 209–229.

Bergweiler, W. "On the Nevanlinna characteristic of a composite function." Complex Variables Theory Appl. 10.2-3 (1988): 225–236.

Bergweiler, W. "On the growth rate of composite meromorphic functions." Complex Variables Theory Appl. 14.1-4 (1990): 187–196.

Datta, S.K., T. Biswas and S. Ali. "Some growth properties of Wronskians using their relative order." J. Class. Anal. 3.1 (2013): 91–99.

Datta, S.K., T. Biswas and C. Biswas. "Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order." International J. of Math. Sci. & Engg. Appls. (IJMSEA), 8.4 (2014): 207–218.

Hayman, W.K. "Meromorphic Functions." Oxford Mathematical Monographs. Oxford: Clarendon Press, 1964.

Lahiri, I. and D.K. Sharma. "Growth of composite entire and meromorphic functions." Indian J. Pure Appl. Math. 26.5 (1995): 451–458.

Lahiri, B.K. and D. Banerjee. "Relative order of entire and meromorphic functions." Proc. Nat. Acad. Sci. India Ser. A. 69(A).3 (1999): 339–354.

Titchmarsh, E.C. "The Theory of Functions." 2nd edition. Oxford: Oxford University Press, 1939.

Valiron, G. "Lectures on the General Theory of Integral Functions." New York: Chelsea Publishing Company, 1949.


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