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Year 2017, Volume: 5 Issue: 1, 250 - 263, 01.01.2017

Abstract

References

  • R. S. Dyavanal and R. V. Desai, Uniqueness of difference polynomials of entire functions, Appl. J. Math., 869(2014): 3419-3424.
  • R. S. Dyavanal and R. V. Desai, Uniqueness of q-shift difference and differential polynomials of entire functions, Far East J. Appl. Math., 91(3)(2015): 189-202.
  • R. S. Dyavanal and A. M. Hattikal, Uniqueness of difference-differential polynomials of entire functions sharing one value, Tamkang J. Math., 47(2)(2016): 193-206.
  • R. S. Dyavanal and A. M. Hattikal, Weighted sharing of uniqueness of difference polynomials of meromorphic functions, Far East J. Math. Sci., 98(3)(2015): 293-313.
  • R. S. Dyavanal and A. M. Hattikal , Unicity theorems on difference polynomials of meromorphic functions sharing one value, Int. J. Pure Appl. Math. Sci., 9(2)(2016): 89-97.
  • R. S. Dyavanal, A.M. Hattikal, On the uniqueness of product of difference polynomials of meromorphic functions, Konuralp J. Math. 4(2) (2016): 42-55.
  • W.K.Hayman, Meromorphic functions, Claredon Press,Oxford, (1964).
  • X.M.Li, H.X.Yi, W.L.Li, Value distribution of certain difference polynomials of meromorphic functions , Rocky Mountain J. Math., (2014),44(2): 599-632.
  • Y.Liu, Y.H.Cao, X.G.Qi, H.X.Yi, Value sharing results for q-shifts difference polynomials, Discrete Dyn. Nat. Soc. 2013, Article ID 152069, 6 pages.
  • F.H.Liu, H.X.Yi, Uniqueness of meromorphic function concerning the difference polynomials, Kyungpook Math. J. 55(2015): 411-427.
  • H.Y.Xu, B.X.Liu, K.Z.Tang, Some properties of meromorphic solutions of systems of complex q-shift difference equations, Abstr. Appl. Anal. 2013, Article ID 680956, 6 pages.
  • J.F.Xu, H.X.Yi, F.Lu Fixed points and uniqueness of meromorphic functions, Comp. Math. Appl. 59(2010): 9-17.
  • L.Yang, Value Distribution Theory, Springer-Verlag Berlin, (1993).
  • C.C.Yang, H.X.Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht,2003; Chinese original: Science Press, Beijing, (1995).
  • H.X.Yi, Uniqueness of meromorphic functions and a question of C.C.Yang, Complex Var. 14(1990): 69-176.
  • K.Zhang, H.X.Yi, The value distribution and uniqueness of one certain type of differential-difference polynomials, Acta Mathematica Sci. 34B(3)(2014): 719-728.

Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function

Year 2017, Volume: 5 Issue: 1, 250 - 263, 01.01.2017

Abstract

In this article, we study the uniqueness problems of q-shift difference polynomials of meromorphic functions f and g sharing a small function a(z). The results in this paper extend the results of F.H.Liu and H.X.Yi.

References

  • R. S. Dyavanal and R. V. Desai, Uniqueness of difference polynomials of entire functions, Appl. J. Math., 869(2014): 3419-3424.
  • R. S. Dyavanal and R. V. Desai, Uniqueness of q-shift difference and differential polynomials of entire functions, Far East J. Appl. Math., 91(3)(2015): 189-202.
  • R. S. Dyavanal and A. M. Hattikal, Uniqueness of difference-differential polynomials of entire functions sharing one value, Tamkang J. Math., 47(2)(2016): 193-206.
  • R. S. Dyavanal and A. M. Hattikal, Weighted sharing of uniqueness of difference polynomials of meromorphic functions, Far East J. Math. Sci., 98(3)(2015): 293-313.
  • R. S. Dyavanal and A. M. Hattikal , Unicity theorems on difference polynomials of meromorphic functions sharing one value, Int. J. Pure Appl. Math. Sci., 9(2)(2016): 89-97.
  • R. S. Dyavanal, A.M. Hattikal, On the uniqueness of product of difference polynomials of meromorphic functions, Konuralp J. Math. 4(2) (2016): 42-55.
  • W.K.Hayman, Meromorphic functions, Claredon Press,Oxford, (1964).
  • X.M.Li, H.X.Yi, W.L.Li, Value distribution of certain difference polynomials of meromorphic functions , Rocky Mountain J. Math., (2014),44(2): 599-632.
  • Y.Liu, Y.H.Cao, X.G.Qi, H.X.Yi, Value sharing results for q-shifts difference polynomials, Discrete Dyn. Nat. Soc. 2013, Article ID 152069, 6 pages.
  • F.H.Liu, H.X.Yi, Uniqueness of meromorphic function concerning the difference polynomials, Kyungpook Math. J. 55(2015): 411-427.
  • H.Y.Xu, B.X.Liu, K.Z.Tang, Some properties of meromorphic solutions of systems of complex q-shift difference equations, Abstr. Appl. Anal. 2013, Article ID 680956, 6 pages.
  • J.F.Xu, H.X.Yi, F.Lu Fixed points and uniqueness of meromorphic functions, Comp. Math. Appl. 59(2010): 9-17.
  • L.Yang, Value Distribution Theory, Springer-Verlag Berlin, (1993).
  • C.C.Yang, H.X.Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht,2003; Chinese original: Science Press, Beijing, (1995).
  • H.X.Yi, Uniqueness of meromorphic functions and a question of C.C.Yang, Complex Var. 14(1990): 69-176.
  • K.Zhang, H.X.Yi, The value distribution and uniqueness of one certain type of differential-difference polynomials, Acta Mathematica Sci. 34B(3)(2014): 719-728.
There are 16 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Renukadevi S. Dyavanal This is me

Ashwini M. Hattikal This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 5 Issue: 1

Cite

APA Dyavanal, R. S., & Hattikal, A. M. (2017). Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function. New Trends in Mathematical Sciences, 5(1), 250-263.
AMA Dyavanal RS, Hattikal AM. Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function. New Trends in Mathematical Sciences. January 2017;5(1):250-263.
Chicago Dyavanal, Renukadevi S., and Ashwini M. Hattikal. “Uniqueness of Q-Shift Difference Polynomials of Meromorphic Functions Sharing a Small Function”. New Trends in Mathematical Sciences 5, no. 1 (January 2017): 250-63.
EndNote Dyavanal RS, Hattikal AM (January 1, 2017) Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function. New Trends in Mathematical Sciences 5 1 250–263.
IEEE R. S. Dyavanal and A. M. Hattikal, “Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 250–263, 2017.
ISNAD Dyavanal, Renukadevi S. - Hattikal, Ashwini M. “Uniqueness of Q-Shift Difference Polynomials of Meromorphic Functions Sharing a Small Function”. New Trends in Mathematical Sciences 5/1 (January 2017), 250-263.
JAMA Dyavanal RS, Hattikal AM. Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function. New Trends in Mathematical Sciences. 2017;5:250–263.
MLA Dyavanal, Renukadevi S. and Ashwini M. Hattikal. “Uniqueness of Q-Shift Difference Polynomials of Meromorphic Functions Sharing a Small Function”. New Trends in Mathematical Sciences, vol. 5, no. 1, 2017, pp. 250-63.
Vancouver Dyavanal RS, Hattikal AM. Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function. New Trends in Mathematical Sciences. 2017;5(1):250-63.