Title of article
On relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative
Author/Authors
Kumar Datta, Sanjib University of Kalyani, Kalyani, India , Sarkar, Sukalyan Dukhulal Nibaran Chandra College Murshidabad, India , Chakraborty, Gorachand Sidho-Kanho-Birsha University Purulia, India , Manna, Arghyatanu Mousini Co-operative High School (H.S.) Kakdwip, India
Pages
18
From page
1
To page
18
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.
Keywords
Entire function , meromorphic function , relative Nevanlinna defect , relative Valiron defect , difference polynomial , integrated moduli of logarithmic derivative
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2022
Record number
2702333
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