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   on relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative  
   
نویسنده manna arghyatanu ,chakraborty gorachand ,sarkar sukalyan ,datta sanjib kumar
منبع journal of mathematical extension - 2022 - دوره : 16 - شماره : 5 - صفحه:1 -18
چکیده    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.
کلیدواژه entire function ,meromorphic function ,relative nevanlinna defect ,relative valiron defect ,difference polynomial ,integrated moduli of logarithmic derivative
آدرس 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
پست الکترونیکی sanjibdatta05@gmail.com
 
     
   
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