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on relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative
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نویسنده
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manna arghyatanu ,chakraborty gorachand ,sarkar sukalyan ,datta sanjib kumar
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 5 - صفحه:1 -18
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چکیده
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Let f be a transcendental entire function defined in the open complex plane c. a difference-monomial generated by f is an expression of the form f = f n (f m − 1) yd j=1 (f(z + cj ))νj , where n, m and νj are all non-negative integers. now for the sake of definiteness let us take, mi[f] = f n (f m − 1) yi j=1 (f(z + cj ))νj , where 1 ≤ i ≤ d. if m1[f], m2[f], . . . , mn[f] are such monomials in f as defined above, then ψ[f] = a1m1[f] + a2m2[f] + . . . + anmn[f] where ai 6= 0 (i = 1, 2, . . . , n) is called a difference-polynomial generated by f.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 integratedmoduli of logarithmic derivative. some examples are provided in order to justify the results obtained.
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کلیدواژه
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entire function ,meromorphic function ,relative nevanlinna defect ,relative valiron defect ,difference polynomial ,integrated moduli of logarithmic derivative
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آدرس
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mousini co-operative high school (h.s.), faculty of science, department of mathematics, india, sidho-kanho-birsha university, faculty of science, department of mathematics, india, dukhulal nibaran chandra college, faculty of science, department of mathematics, india, university of kalyani, faculty of science, department of mathematics, india
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پست الکترونیکی
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sanjibdatta05@gmail.com
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Authors
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