ON THE MEASUREMENT OF GROWTH PROPERTIES OF ENTIRE AND MEROMORPHIC FUNCTIONS FOCUSING THEIR RELATIVE TYPE AND RELATIVE WEAK TYPE

Sanjib Kumar Datta, Tanmay Biswas

DOI Number
10.22190/FUMI1605011D
First page
1011
Last page
1028

Abstract


The concepts of relative growth indicators such as relative order, relative type, relative weak type, etc. have widely been used to avoid comparing growths of entire and meromorphic functions just with exp functions. Using the notions of several relative growth indicators as mentioned earlier, in this paper we would like to find out the limits in terms of classical growth indicators (i.e. order, type, weak type etc.) in which the relative type, relative weak type, etc. of meromorphic functions with respect to entire functions should lie.


Keywords

Meromorphic function; Entire function; Relative order; Relative lower order; Relative type; Relative weak type

Full Text:

PDF

References


L. Bernal: Crecimiento relativo de funciones enteras. Contribución al estudio de lasfunciones enteras conindice exponencial finito. Doctoral Dissertation, University of Seville, Spain, 1984.

L. Bernal: Orden relative de crecimiento de funciones enteras. Collect. Math. 39 (1988), 209–229.

L. Debnath, S. K. Datta, T. Biswas and A. Kar: Growth of meromorphic functions depending on (p,q)-th relative order. Facta Universititatis series: Mathematics and Informatics, 31(3) (2016), 691–705.

S. K. Datta and A. Jha : On the weak type of meromorphic functions. Int. Math. Forum, 4(12) (2009), 569–579.

S. K. Datta and A. Biswas : On relative type of entire and meromorphic functions. Advances in Applied Mathematical Analysis, 8(2) (2013), 63–75.

W. K. Hayman: Meromorphic Functions. The Clarendon Press, Oxford 1964.

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

E.C. Titchmarsh : The theory of functions. 2nd ed.. Oxford University Press, Oxford , 1968.

G. Valiron : Lectures on the general theory of integral functions. Chelsea Publishing Company, 1949.




DOI: https://doi.org/10.22190/FUMI1605011D

Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)