On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives

Affiliation(s)

Department of Mathematics, Central College Campus, Bangalore University, Bangalore, India.

Department of Mathematics, Central College Campus, Bangalore University, Bangalore, India.

ABSTRACT

In this paper, we study the problem of meromorphic functions that share one small function of differential polynomial with their derivatives and prove one theorem. The theorem improves the results of Jin-Dong Li and Guang-Xin Huang [1].

In this paper, we study the problem of meromorphic functions that share one small function of differential polynomial with their derivatives and prove one theorem. The theorem improves the results of Jin-Dong Li and Guang-Xin Huang [1].

Cite this paper

Waghamore, H. and Rajeshwari, S. (2015) On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives.*Applied Mathematics*, **6**, 2004-2013. doi: 10.4236/am.2015.612178.

Waghamore, H. and Rajeshwari, S. (2015) On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives.

References

[1] Li, J.-D. and Huang, G.-X. (2015) On Meromorphic Functions That Share One Small Function with Their Derivatives. Palestine Journal of Mathematics, 4, 91-96.

[2] Hayman, W.K. (1964) Meromorphic Functions. Clarendon Press, Oxford.

[3] Yang, L. (1993) Value Distribution Theory. Springer Verlag, Berlin.

[4] Lahiri, I. (2001) Weighted Sharing and Uniqueness of Meromorphic Function. Nagoya Mathematical Journal, 161, 193-206.

[5] Bruck, R. (1996) On Entire Functions Which Share One Value CM with Their First Derivative. Results in Mathematics, 30, 21-24.

http://dx.doi.org/10.1007/BF03322176

[6] Yang, L.Z. (1999) Solution of a Differential Equation and Its Applications. Kodai Mathematical Journal, 22, 458-464.

http://dx.doi.org/10.2996/kmj/1138044097

[7] Yu, K.W. (2003) On Entire and Meromorphic Functions That Share Small Functions with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 4.

http://jipam.vu.edu.au/

[8] Liu, L.P. and Gu, Y.X. (2004) Uniqueness of Meromorphic Functions That Share One Small Function with Their Derivatives. Kodai Mathematical Journal, 27, 272-279.

http://dx.doi.org/10.2996/kmj/1104247351

[9] Lahiri, I. and Sarkar, A. (2004) Uniqueness of Meromorphic Function and Its Derivative. Journal of Inequalities in Pure and Applied Mathematics, 5.

http://jipam.vu.edu.au/

[10] Zhang, Q.C. (2005) Meromorphic Function That Shares One Small Function with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 6.

http://jipam.vu.edu.au/

[11] Mohon’ko, A.Z. (1971) On the Nevanlinna Characteristics of Some Meromorphic Functions. Theory of Functions, Functional Analysis and Its Applications, 14, 83-87.

[1] Li, J.-D. and Huang, G.-X. (2015) On Meromorphic Functions That Share One Small Function with Their Derivatives. Palestine Journal of Mathematics, 4, 91-96.

[2] Hayman, W.K. (1964) Meromorphic Functions. Clarendon Press, Oxford.

[3] Yang, L. (1993) Value Distribution Theory. Springer Verlag, Berlin.

[4] Lahiri, I. (2001) Weighted Sharing and Uniqueness of Meromorphic Function. Nagoya Mathematical Journal, 161, 193-206.

[5] Bruck, R. (1996) On Entire Functions Which Share One Value CM with Their First Derivative. Results in Mathematics, 30, 21-24.

http://dx.doi.org/10.1007/BF03322176

[6] Yang, L.Z. (1999) Solution of a Differential Equation and Its Applications. Kodai Mathematical Journal, 22, 458-464.

http://dx.doi.org/10.2996/kmj/1138044097

[7] Yu, K.W. (2003) On Entire and Meromorphic Functions That Share Small Functions with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 4.

http://jipam.vu.edu.au/

[8] Liu, L.P. and Gu, Y.X. (2004) Uniqueness of Meromorphic Functions That Share One Small Function with Their Derivatives. Kodai Mathematical Journal, 27, 272-279.

http://dx.doi.org/10.2996/kmj/1104247351

[9] Lahiri, I. and Sarkar, A. (2004) Uniqueness of Meromorphic Function and Its Derivative. Journal of Inequalities in Pure and Applied Mathematics, 5.

http://jipam.vu.edu.au/

[10] Zhang, Q.C. (2005) Meromorphic Function That Shares One Small Function with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 6.

http://jipam.vu.edu.au/

[11] Mohon’ko, A.Z. (1971) On the Nevanlinna Characteristics of Some Meromorphic Functions. Theory of Functions, Functional Analysis and Its Applications, 14, 83-87.