Results on Certain Non-Linear Differential Polynomials Sharing a Small Function
Yıl 2014,
Cilt: 5 , 17 - 34, 06.03.2015
Abhijit Banerjee
,
Molla Ahamed
Öz
In the paper we shall mainly concern about the special types of non-linear dierential polynomial as introduced in [20] sharing a small function. Our main result will improve, extend, unify and generalize a number of recent results.
Kaynakça
-
A. Banerjee and P. Bhattacharjee, Some uniqueness results related to certain nonlinear dierential poly-
-
nomials sharing the same 1-points, Vietnam J. Math., 37 (2009), 97112.598.
-
A.Banerjee, On uniqueness for non-linear dierential polynomials sharing the same 1-points, Ann. Polon.
-
Math. 89(3) (2006), 259-272.
-
A.Banerjee, A uniqueness result on some dierential polynomials sharing 1 points, Hiroshima Math. J.
-
(3) 2007, 397-408.
-
A.Banerjee and P.Sahoo, Uniqueness of meromorphic functions when two dierential polynomials share
-
one value, Sarajevo.J. Math., 20(2012), 69-89
-
M.L.Fang and W. Hong, A unicity theorem for entire functions concerning dierential polynomials, Indian
-
J. Pure Appl. Math., 32(9) (2001), 1343-1348.
-
W.K.Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
-
I.Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161 (2001), 193-
-
-
-
I.Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl.,
-
(2001), 241-253.
-
I. Lahiri and A. Banerjee, Weighted sharing of two sets, Kyungpook Math. J. Vol. 46 (2006) no. 1, pp.
-
-87.
-
I. Lahiri and S. Dewan, Value distribution of the product of a meromorphic function and its derivative,
-
Kodai Math. J., 26(1) (2003), 95-100.
-
I.Lahiri and N.Mandal, Uniqueness of nonlinear dierential polynomials sharing simple and double 1-
-
points, Int. J. Math. Math. Sci. 12 (2005), 1933-1942.
-
I.Lahiri and R.Pal, Nonlinear dierential polynomials sharing 1-points, Bull. Korean Math. Soc., 43(1)
-
(2006), 161-168.
-
I.Lahiri and A.Sarkar, Nonlinear dierential polynomials sharing 1-points with weight two, Chinese J.
-
Contemp. Math., 25(3) (2004), 325-334.
-
I.Lahiri and P.Sahoo, Uniqueness of non-linear dierential polynomials sharing 1-points, Georgian Math.
-
J., 12(1) (2005), 131-138.
-
W.C.Lin, Uniqueness of dierential polynomials and a question of Lahiri, Pure Appl. Math., 17(2)(2001),
-
-110 (in Chinese).
-
W.C.Lin and H.X.Yi, Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math.,
-
(2)(2004), 121-132.
-
C. Meng, On unicity of meromorphic functions when two dierential polynomials share one value, Hi-
-
roshima Math. J., 39(2009), 163-169.
-
C. Meng, Uniqueness for meromorphic functions concerning dierential polynomials, Georgian Math. J.,
-
(4)(2008), 731-738.
-
P. Sahoo and S. Seikh, Meromorphic functions whose certain dierential polynomials share a small
-
function with nite weight, Math. Vesnik., 65(2), (2013), 151-165.
-
S.H.Shen and W.C.Lin, Uniqueness of meromorphic functions, Complex Var. Elliptic Equ., 52(5)(2007),
-
-424.
-
W. L. Xiong, W. C. Lin and S. Mori, Uniqueness of meromorphic functions, Sci. Math. Jpn., 62(2) (2005),
-
-315.
-
C.C.Yang and X.H.Hua, Uniqueness and value sharing of meromorphic functions,
-
Ann.Acad.Sci.Fenn.Math. 22(1997), 395-406.
-
H.X.Yi, On characteristic function of a meromorphic function and its derivative, Indian J. Math.
-
(2)(1991), 119-133.
-
H. X. Yi, C. C. Yang, Uniqueness Theory of meromorphic functions, Science Press, Beijing, 1995.
-
K.Yamanoi, The second main theorem for small functions and related problems, Acta Math. 192(2004),
-
-294.
-
X. Y. Zhang, J. F. Chen and W.C. Lin, Entire or meromorphic functions sharing one value, Comput.
-
Math. Appl. 56 (2008), 18761883.
-
X. B. Zhang and J. F. Xu, Uniqueness of meromorphic functions sharing a small function and its
-
applications, Comput. Math. Appl, 61(2011), 722-730.
-
Q.C.Zhang, Meromorphic function that shares one small function with its derivative, J.Inequal.Pure Appl.
-
Math., 6(4)(2005), Art.116 [ ONLINE http://jipam.vu.edu.au/].
Yıl 2014,
Cilt: 5 , 17 - 34, 06.03.2015
Abhijit Banerjee
,
Molla Ahamed
Kaynakça
-
A. Banerjee and P. Bhattacharjee, Some uniqueness results related to certain nonlinear dierential poly-
-
nomials sharing the same 1-points, Vietnam J. Math., 37 (2009), 97112.598.
-
A.Banerjee, On uniqueness for non-linear dierential polynomials sharing the same 1-points, Ann. Polon.
-
Math. 89(3) (2006), 259-272.
-
A.Banerjee, A uniqueness result on some dierential polynomials sharing 1 points, Hiroshima Math. J.
-
(3) 2007, 397-408.
-
A.Banerjee and P.Sahoo, Uniqueness of meromorphic functions when two dierential polynomials share
-
one value, Sarajevo.J. Math., 20(2012), 69-89
-
M.L.Fang and W. Hong, A unicity theorem for entire functions concerning dierential polynomials, Indian
-
J. Pure Appl. Math., 32(9) (2001), 1343-1348.
-
W.K.Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
-
I.Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161 (2001), 193-
-
-
-
I.Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl.,
-
(2001), 241-253.
-
I. Lahiri and A. Banerjee, Weighted sharing of two sets, Kyungpook Math. J. Vol. 46 (2006) no. 1, pp.
-
-87.
-
I. Lahiri and S. Dewan, Value distribution of the product of a meromorphic function and its derivative,
-
Kodai Math. J., 26(1) (2003), 95-100.
-
I.Lahiri and N.Mandal, Uniqueness of nonlinear dierential polynomials sharing simple and double 1-
-
points, Int. J. Math. Math. Sci. 12 (2005), 1933-1942.
-
I.Lahiri and R.Pal, Nonlinear dierential polynomials sharing 1-points, Bull. Korean Math. Soc., 43(1)
-
(2006), 161-168.
-
I.Lahiri and A.Sarkar, Nonlinear dierential polynomials sharing 1-points with weight two, Chinese J.
-
Contemp. Math., 25(3) (2004), 325-334.
-
I.Lahiri and P.Sahoo, Uniqueness of non-linear dierential polynomials sharing 1-points, Georgian Math.
-
J., 12(1) (2005), 131-138.
-
W.C.Lin, Uniqueness of dierential polynomials and a question of Lahiri, Pure Appl. Math., 17(2)(2001),
-
-110 (in Chinese).
-
W.C.Lin and H.X.Yi, Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math.,
-
(2)(2004), 121-132.
-
C. Meng, On unicity of meromorphic functions when two dierential polynomials share one value, Hi-
-
roshima Math. J., 39(2009), 163-169.
-
C. Meng, Uniqueness for meromorphic functions concerning dierential polynomials, Georgian Math. J.,
-
(4)(2008), 731-738.
-
P. Sahoo and S. Seikh, Meromorphic functions whose certain dierential polynomials share a small
-
function with nite weight, Math. Vesnik., 65(2), (2013), 151-165.
-
S.H.Shen and W.C.Lin, Uniqueness of meromorphic functions, Complex Var. Elliptic Equ., 52(5)(2007),
-
-424.
-
W. L. Xiong, W. C. Lin and S. Mori, Uniqueness of meromorphic functions, Sci. Math. Jpn., 62(2) (2005),
-
-315.
-
C.C.Yang and X.H.Hua, Uniqueness and value sharing of meromorphic functions,
-
Ann.Acad.Sci.Fenn.Math. 22(1997), 395-406.
-
H.X.Yi, On characteristic function of a meromorphic function and its derivative, Indian J. Math.
-
(2)(1991), 119-133.
-
H. X. Yi, C. C. Yang, Uniqueness Theory of meromorphic functions, Science Press, Beijing, 1995.
-
K.Yamanoi, The second main theorem for small functions and related problems, Acta Math. 192(2004),
-
-294.
-
X. Y. Zhang, J. F. Chen and W.C. Lin, Entire or meromorphic functions sharing one value, Comput.
-
Math. Appl. 56 (2008), 18761883.
-
X. B. Zhang and J. F. Xu, Uniqueness of meromorphic functions sharing a small function and its
-
applications, Comput. Math. Appl, 61(2011), 722-730.
-
Q.C.Zhang, Meromorphic function that shares one small function with its derivative, J.Inequal.Pure Appl.
-
Math., 6(4)(2005), Art.116 [ ONLINE http://jipam.vu.edu.au/].