ON RELATIVE DEFICIENCIES OF COMMON ROOTS ON THE BASIS OF IN-TEGRATED MODULI OF LOGARITHMIC DERIVATIVE OF ENTIRE AND MEROMORPHIC FUNCTION

  • SANJIB KUMAR DATTA
    Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist.: Nadia, PIN: 741235, West Bengal, INDIA
    sanjibdatta05@gmail.com
  • SUKALYAN SARKAR
    Department of Matrhematics, Dukhulal Nibaran Chandra College, P.O.: Aurangabad, Dist: Murshidabad, PIN: 742201, West Bengal, INDIA
    sukalyanmath.knc@gmail.com
  • SURAJIT HAZRA
    Department of Mathematics, Ananda Mohan College, 102/1, Raja Rammohan Sarani, Kolkata-700009, West Bengal, INDIA
    surajitpuremath1988@gmail.com
  • ASHIMA BANDYOPADHYAY
    Ranaghat, Dist.: Nadia, Pin: 741201, West Bengal, INDIA,
    ashima2883@gmail.com

Abstract

The main target of our paper is to derive some bounds related to the relative deficiencies of common roots from the viewpoint of integrated moduli of logarithmic derivative of entire and meromorphic functions. Some examples are also provided to validate the re-sults obtained.

Cuvinte cheie

Entire function meromorphic function order relative defect common root integrated moduli of logarithmic derivative.