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
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)
