RELATIVE $(\alpha ,\beta ,\gamma )$-ORDER OF COMPOSITE ENTIRE FUNCTIONS RELATED TO MAXIMUM TERMS

Authors

  • Chinmay Biswas Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia - 741302, West Bengal, INDIA Author
  • Sudipta Kumar Pal Department of Mathematics, Jangipur College, Jangipur, Murshidabad - 742213, West Bengal, INDIA Author
  • Bablu Chandra Das Department of Mathematics, Nabadwip Vidyasagar College, Nabadwip, Nadia - 741302, West Bengal, INDIA Author

Keywords:

Entire function, maximum term, composition, relative $(\alpha ,\beta ,\gamma )$- order, relative $(\alpha ,\beta ,\gamma )$-lower order

Abstract

In this paper, we discuss maximum term related to some growth properties of composite entire functions with respect to another entire function using the relative $(\alpha ,\beta ,\gamma )$-order and relative $(\alpha ,\beta,\gamma )$-lower order and derive some results with their left and right factors. We also obtain the integral representations of relative $(\alpha,\beta ,\gamma )$-order and relative $(\alpha ,\beta ,\gamma )$-lower order of entire functions using maximum terms.

Published

2026-06-30