On relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative

Authors

  • Sanjib Kumar Datta Department of Mathematics, University of Kalyani.
  • Sukalyan Sarkar Department of Mathematics, Dukhulal Nibaran Chandra College
  • Gorachand Chakraborty Department of Mathematics, Sidho-Kanho-Birsha University.
  • Arghyatanu Manna Mousini Co-operative High School (H.S.), Bagdanga.

Keywords:

Entire function, meromorphic function, relative Nevanlinna defect, relative Valiron defect, difference polynomial, integrated moduli of logarithmic derivative.

Abstract

Let  be a transcendental entire function defined in the open complex plane ℂ. A difference-monomial generated by . Now for the sake of definiteness let us take a difference-polynomial generated by . In this paper we compare the Valiron defect with the relative Nevanlinna defect of a particular type of differential-difference polynomial generated by a transcendental entire function with respect to integrated moduli of logarithmic derivative. Some examples are provided in order to justify the results obtained.

 

Author Biographies

Sanjib Kumar Datta, Department of Mathematics, University of Kalyani.

Department: Department of Mathematics and Rank: Professor.

Sukalyan Sarkar, Department of Mathematics, Dukhulal Nibaran Chandra College

Department: Department of Mathematics and Rank: Assistant Professor.

Gorachand Chakraborty, Department of Mathematics, Sidho-Kanho-Birsha University.

Department: Department of Mathematics and Rank: Assistant Professor.

Arghyatanu Manna, Mousini Co-operative High School (H.S.), Bagdanga.

Assistant Teacher of Mathematics.

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Published

2021-06-15

Issue

Section

Vol. 16, No. 5, (2022)