The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On Different Relative Growth Factors of Entire Functions


Affiliations
1 Department of Mathematics, University of Kalyani, Kalyani, India
2 Department of Mathematics, Darjeeling Government College, Darjeeling, India
3 Department of Mathematics, Chakdaha College, Chakdaha, India
     

   Subscribe/Renew Journal


In this paper we investigate some properties related to sum and product of different relative growth factors of an entire function with respect to another entire function in connection with a special type of non-decreasing, unbounded function ψ.

Keywords

Entire function, Growth, Order (Lower Order), (p;q;t)L−ψ-order (p;q;t)L−ψ−Lower Order), Non-Decreasing, Unbounded Function.
Subscription Login to verify subscription
User
Notifications
Font Size


  • R. P. Agarwal, S. K. Datta, T. Biswas and P. Sahoo, On the growth analysis of iterated entire functions, Advanced Studies in Contemporary Mathematics. 26(1) (2016) , 93-137.

  • L. Bernal, Orden relativ de crecimiento de funciones enteras, Collect Mth. 39(1988), 209-229.

  • T. Biswas, Some results relating to sum and product theorems of relative (p,q, t)L-th order and relative (p,q, t)L-th type of entire functions, Korean J. Math. 26(2) (2018), 215-269.

  • S. K. Datta, T. Biswas and C. Ghosh, On relative (p,q)-th order based growth measure of entire functions, Filomat. 30 (7) (2016) , 1723-1735.

  • W. K. Hayman, Meromorphic functions, The Calendron Press, Oxford, 1964.

  • O. P. Juneja, G. P. Kapoor, and S. K. Bajpai, On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math. 282(1976) , 53-67.

  • O. P. Juneja, G. P. Kapoor, and S. K. Bajpai, On the (p,q)-type and lower (p,q)-type of an entire function, J. Reine Angew. Math. 290(1977), 180-190.

  • L. M. Sanchez Ruiz, S. K. Datta, T. Biswas, and G. K. Mandal, On the (p,q)th relative order and oriented growth properties of entire functions, Abstr. Appl. Anal. 2014, Article ID 826137, 8 pages, http://dx.doi.org/10.1155/2014/826137.

  • D. Somasundaram, and R. Thamizharasi, A note on the entire functions of L-bounded index and L-type, Indian J. Pure. Appl. Math. 19 (3)(1988), 284-293.

  • H. M. Srivastava, S. K. Datta, T. Biswas and D. Dutta, Sum and product theorems depending on the (p,q)-th order and (p,q)-th type of entire functions, Cogent Mathematics. 2015, 2 : 1107951, 1-22.

  • T. Samten and N. Biswas, Some results on the integer translation of composite entire and meromorphic functions, Konuralp J. Math. 5(2) (2017), 1-11.

  • G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.


Abstract Views: 375

PDF Views: 1




  • On Different Relative Growth Factors of Entire Functions

Abstract Views: 375  |  PDF Views: 1

Authors

Sanjib Kumar Datta
Department of Mathematics, University of Kalyani, Kalyani, India
Banani Dutta
Department of Mathematics, Darjeeling Government College, Darjeeling, India
Nityagopal Biswas
Department of Mathematics, Chakdaha College, Chakdaha, India

Abstract


In this paper we investigate some properties related to sum and product of different relative growth factors of an entire function with respect to another entire function in connection with a special type of non-decreasing, unbounded function ψ.

Keywords


Entire function, Growth, Order (Lower Order), (p;q;t)L−ψ-order (p;q;t)L−ψ−Lower Order), Non-Decreasing, Unbounded Function.

References





DOI: https://doi.org/10.18311/jims%2F2020%2F24428