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Value distribution of meromorphic functions satisfying generalized painleve differential equations
H. P. Waghamore,S. Rajeshwari 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.2
In this paper we consider the generalized painleve differential equation f^(2(n)-2) = K(f^n) + z, where n ≥ 2 is an integer and K is any con-stant.Applying Nevanlinna Theory, we study the value distribution properties of transcendental meromorphic solutions of such equations.
On exceptional values of homogeneous differential polynomials
H. P. Waghamore,S. S. Bhoosnurmath 장전수학회 2007 Proceedings of the Jangjeon mathematical society Vol.10 No.2
Let f be a meromorphic function of order , (0 < < 1). Let T(r, f) be the characteristic function of f(z). Let M(r, f) be the maximum of |f(z)| on |z| = r when f(z) is an entire function. For the function g(z) let n(r, 1/f −g) and ¯n(r, 1/f −g) be the number of zeros and the number of distinct zeros respectively of f(z)−g(z) in |z| r, where g is a small function of f i.e. T(r, g) = o(T(r, f)) = S(r, f).
On slowly changing function and multiple zeros of difference of two meromorphic functions
H. P. Waghamore,S. S. Bhoosnurmath 장전수학회 2008 Proceedings of the Jangjeon mathematical society Vol.11 No.2
In this paper we compare the number of multiple zeros of f(z) − g(z) with the function rpK(r) where K(r) is a n- slowly changing function- satisfying K(cr) ∼ K(r) as r → ∞ for every fixed positive c.
GENERALIZATION OF MEROMORPHIC FUNCTIONS SHARING A NONZERO POLYNOMIAL WITH FINITE WEIGHT
WAGHAMORE, HARINA P.,HUSNA, V.,NAVEENKUMAR, S.H. The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.1
The purpose of the paper is to study the meromorphic functions sharing a nonzero polynomial with finite weight. The results of the paper improve and generalize the recent results due to Pulak Sahoo and Sajahan Seikh [9].