Value sharing of meromorphic functions

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Waghamore, H.P. and Tanuja, A. (2011) Value sharing of meromorphic functions. International Journal of Mathematical Analysis, 5 (25-28). pp. 1321-1333. ISSN 13128876

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Abstract

In this paper, we study the uniqueness of meromorphic functions and prove the following main theorem. Let f and g be two nonconstant meromorphic functions satisfying [(4k +7)Θ(∞, f)+(5k +7)Θ(0, f)] > 9k +13 and [(4k+7)Θ(∞, g)+(5k +7)Θ(0, g)] > 9k+13 and let n,m be positive integers with n ≥ 9k+15. If (fn)(k) and (gn)(k) share 1 IM, then either f(z) = c1ecz, g(z) = c2e-cz where c1, c2 and c are three constants satisfying (-1)k(c1c2)n(nc)2k = 1 or f = tg for a constant t such that tn = 1.

Item Type: Article
Additional Information: cited By 0
Subjects: Faculty of Science > Pure Sciences > Mathematics
Divisions: Jnana Bharathi / Central College Campus > Department of Mathematics
Depositing User: Mr. Kirana Kumar D
Date Deposited: 31 Mar 2016 06:34
Last Modified: 31 Mar 2016 06:34
URI: http://eprints-bangaloreuniversity.in/id/eprint/2358

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