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ON CHARACTERISTIC FUNCTION AND PROXIMATE DEFICIENCIES OF HOMOGENEOUS DIFFERENTIAL POLYNOMIALS
Waghamore,Bhoosnurmath 장전수학회 2009 Proceedings of the Jangjeon mathematical society Vol.12 No.3
In this paper relations between [수식] and T(r, P) have been obtained ,where p(r) is a proximate order relative to T(r, f) and P is a homogeneous dif- ferential polynomial respectively. Also results pertaining to Nevanlinna exceptional values have been established, and bounds for [수식] in terms of Nevanlinna de- fects have been given, where [수식] For instance it has been shown that if [수식] then, [수식]
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].
Uniqueness and Value-Sharing of Meromorphic Functions
Waghamore, Harina P.,Tanuja, A. Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.4
In this paper, we prove two uniqueness theorem on meromorphic functions sharing one value which generalize a recent result of R. S. Dyavanal [2], and on the other hand, we relax the nature of sharing value from CM to IM.
UNIQUENESS AND VALUE SHARING PROBLEMS IN CLASS 𝓐 OF MEROMORPHIC FUNCTIONS
WAGHAMORE, HARINA P.,RAJESHWARI, S. The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.1
In this paper, we study the uniqueness and value sharing problems in class ${\mathcal{A}}$ of meromorphic functions. We obtain significant results which improve as well as generalize the result of C.C Yang and Xinhou Hua [10].
WAGHAMORE, HARINA P.,ANAND, SANGEETHA The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.5
In this paper, using the notion of weakly weighted sharing and relaxed weighted sharing, we investigate the uniqueness problems of certain differential polynomials sharing a small function. The results obtained in this paper extend the theorem obtained by Jianren Long [9].
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.
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).
RESULTS ON UNIQUENESS OF PRODUCT OF CERTAIN TYPE OF DIFFERENCE POLYNOMIALS
HARINA P. WAGHAMORE,HUSNA VALLIJAN 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.1
In this paper, using the concept of weakly weighted sharing and relaxed weighted sharing, we investigate the uniqueness of product of certain type of dierence polynomials. The results of the paper improve and extend some recent results due to Renukadevi S. Dyavanal and Ashwini M. Hattikal.
RELATIVE DEFECTS AND MULTIPLE COMMON ROOTS OF TWO MEROMORPHIC FUNCTIONS
HARINA P. WAGHAMORE,SUBHAS S.BHOOSNURMATH 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.2
In this paper, we consider two different meromorphic functions having com-mon roots and and some relations involving the relative defects.
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.