On Relative De, ciencies of Di, erence Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative

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Kumar Datta S.; SARKAR S.; Chakraborty G.; Manna A.

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:5 Page(s): 00-00

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Title

On Relative De, ciencies of Di, erence Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative

Author(s)

Kumar Datta S. | SARKAR S. | Chakraborty G. | Manna A. | Issue Writer Certificate

Keywords

Entire function

meromorphic function

rel-ative Nevanlinna defect

relative Valiron defect

erence polynomial

integrated moduli of logarithmic derivative

Abstract

Let f be a transcendental Entire function de, ned in the open complex plane C. A di, erence-monomial generated by f is an expression of the form F = fn(fm 􀀀,1) Yd j=1 (f(z + cj)), j, where n, m and , j are all non-negative integers. Now for the sake of de, niteness let us take, Mi[f] = fn(fm 􀀀,1) Yi j=1 (f(z + cj)), j, where 1 ,i ,d: If M1[f], M2[f], : : :,Mn[f] are such monomials in f as de, ned above, then [f] = a1M1[f] + a2M2[f] +: : : + anMn[f] where ai 6= 0 (i = 1,2, : : :, n) is called a di, erence-polynomial generated by f. In this paper, we compare the Valiron defect with the relative Nevan-linna defect of a particular type of di, erential-di, erence 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.

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APA: Copy

Kumar Datta, S., SARKAR, S., Chakraborty, G., & Manna, A.. (2022). On Relative De, ciencies of Di, erence Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative. JOURNAL OF MATHEMATICAL EXTENSION, 16(5), 00-00. SID. https://sid.ir/paper/1066229/en

Vancouver: Copy

Kumar Datta S., SARKAR S., Chakraborty G., Manna A.. On Relative De, ciencies of Di, erence Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(5):00-00. Available from: https://sid.ir/paper/1066229/en

IEEE: Copy

S. Kumar Datta, S. SARKAR, G. Chakraborty, and A. Manna, “On Relative De, ciencies of Di, erence Polynomials from the View Point of Integrated Moduli of Logarithmic Derivative,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 5, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066229/en

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