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

Sanjib Kumar Datta, Sukalyan Sarkar, Gorachand Chakraborty, Arghyatanu Manna

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.

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