Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 2, 252 - 263, 15.10.2019

Öz

Kaynakça

  • [1] M. B. Ahamed, Uniqueness of two differential polynomials of a meromorphic function sharing a set, Commun. Korean Math. Soc., Vol:33, No. 4, (2018), 1181-1203.
  • [2] A. Banerjee and M. B. Ahamed,Results on certain non-linear differential polynomials sharing a small function, Istanbul Univ. Sci. Fac. J. Math. Phys. Astr., Vol: 5, (2014), 17-34.
  • [3] A. Banerjee and M. B. Ahamed,Meromorphic function sharing a small function with its differential polynomials, Acta Univ. Palacki. Olomuc., Fac. rer. nat.,Mathematica, Vol: 54, No. 1, (2015), 33-45.
  • [4] A. Banerjee and M. B. Ahamed,Non-linear differential polynomials sharing a non-zero polynomials with finite weight, Math. Bohemica, Vol: 141, No. 1, (2016), 13-36.
  • [5] A. Banerjee and M. B. Ahamed,Uniqueness of a polynomial and a differential monomial sharing a small function, Analele Univ. de Vest. Timisoara Ser. Math. Info., Vol: 54, No. 1, (2016), 55-71
  • [6] S. S. Bhoosnurmath and V. L. Pujari, Uniqueness of meromorphic functions sharing fixed points, Int. J. Anal., (2013) Art ID: 538027, 12p.
  • [7] M. L. Fang and W. Hong, A unicity theorem for entire functions concerning differential polynomials, Indian J. Pure Appl. Math., Vol:32,(2001), 1343-1348.
  • [8] G. Frank and M. Reinders, A unique range set for meromorphic functions with 11 elements, Complex var. Theory Appl., Vol:37, (1998), 185-193.
  • [9] W. K. Hayman, Meromorphic Functions, Oxford, UK: Clarendon Press, (1964).
  • [10] W. K. Hayman, Research problems in function theory, Athlone Press, London.
  • [11] W. C. Lin and H. X. Yi., Uniqueness theorems for meromorphic functions concerning fixed points, Complex Var. Theory Appl., Vol:49, (2004), 793-806.
  • [12] H. P. Waghamore and N. Shilpa, Generalization of uniqueness theorems for entire and meromorphic functions, Appl. Math., Vol:5, (2014), 1267-1274.
  • [13] H. P. Waghamore and S. Anand, Generalization of uniqueness of meromorphic functions sharing fixed points, Appl. Math., Vol:7, (2016), 939-952.
  • [14] J. F. Xu, F. Lu and H. X. Yi, Fixed points and uniqueness of meromorphic functions, Comput. Math. Appl., Vol:59, (2010), 9-17.
  • [15] H. X. Yi, Meromorphic functions that share two or three values, Kodai Math. J., Vol:13, (1990), 363-372.
  • [16] C. C. Yang and X. Hua, Uniqueness and vale-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., Vol22: (1997), 395-406.
  • [17] C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Math. Appl., (2003) Kluwer Academic Publishers, Dordrecht.
  • [18] L. Yang, Value distribution theory, Translated and revised from the 1982 Chinese Original, Springer, Berlin.
  • [19] C. C. Yang, On deficiencies of differential polynomials II, Math. Z., Vol:125, (1972), 107-112.

On Uniqueness of Two Meromorphic Functions Sharing A Small Function

Yıl 2019, Cilt: 7 Sayı: 2, 252 - 263, 15.10.2019

Öz

In this paper, we have investigated the uniqueness problems of entire and meromorphic functions concerning differential polynomials sharing a small function. Our results radically extended and improved the results of Bhoosnurmath-Pujari [6] and Harina - Anand [13] not only by sharing small function instead of fixed point but also reducing the lower bound of $ n $. There are some miscalculation in the proof of a result of Harina-Anand [13]. We have corrected all of them in a more convenient way. At last some open questions have been posed for further study in this direction.

Kaynakça

  • [1] M. B. Ahamed, Uniqueness of two differential polynomials of a meromorphic function sharing a set, Commun. Korean Math. Soc., Vol:33, No. 4, (2018), 1181-1203.
  • [2] A. Banerjee and M. B. Ahamed,Results on certain non-linear differential polynomials sharing a small function, Istanbul Univ. Sci. Fac. J. Math. Phys. Astr., Vol: 5, (2014), 17-34.
  • [3] A. Banerjee and M. B. Ahamed,Meromorphic function sharing a small function with its differential polynomials, Acta Univ. Palacki. Olomuc., Fac. rer. nat.,Mathematica, Vol: 54, No. 1, (2015), 33-45.
  • [4] A. Banerjee and M. B. Ahamed,Non-linear differential polynomials sharing a non-zero polynomials with finite weight, Math. Bohemica, Vol: 141, No. 1, (2016), 13-36.
  • [5] A. Banerjee and M. B. Ahamed,Uniqueness of a polynomial and a differential monomial sharing a small function, Analele Univ. de Vest. Timisoara Ser. Math. Info., Vol: 54, No. 1, (2016), 55-71
  • [6] S. S. Bhoosnurmath and V. L. Pujari, Uniqueness of meromorphic functions sharing fixed points, Int. J. Anal., (2013) Art ID: 538027, 12p.
  • [7] M. L. Fang and W. Hong, A unicity theorem for entire functions concerning differential polynomials, Indian J. Pure Appl. Math., Vol:32,(2001), 1343-1348.
  • [8] G. Frank and M. Reinders, A unique range set for meromorphic functions with 11 elements, Complex var. Theory Appl., Vol:37, (1998), 185-193.
  • [9] W. K. Hayman, Meromorphic Functions, Oxford, UK: Clarendon Press, (1964).
  • [10] W. K. Hayman, Research problems in function theory, Athlone Press, London.
  • [11] W. C. Lin and H. X. Yi., Uniqueness theorems for meromorphic functions concerning fixed points, Complex Var. Theory Appl., Vol:49, (2004), 793-806.
  • [12] H. P. Waghamore and N. Shilpa, Generalization of uniqueness theorems for entire and meromorphic functions, Appl. Math., Vol:5, (2014), 1267-1274.
  • [13] H. P. Waghamore and S. Anand, Generalization of uniqueness of meromorphic functions sharing fixed points, Appl. Math., Vol:7, (2016), 939-952.
  • [14] J. F. Xu, F. Lu and H. X. Yi, Fixed points and uniqueness of meromorphic functions, Comput. Math. Appl., Vol:59, (2010), 9-17.
  • [15] H. X. Yi, Meromorphic functions that share two or three values, Kodai Math. J., Vol:13, (1990), 363-372.
  • [16] C. C. Yang and X. Hua, Uniqueness and vale-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., Vol22: (1997), 395-406.
  • [17] C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Math. Appl., (2003) Kluwer Academic Publishers, Dordrecht.
  • [18] L. Yang, Value distribution theory, Translated and revised from the 1982 Chinese Original, Springer, Berlin.
  • [19] C. C. Yang, On deficiencies of differential polynomials II, Math. Z., Vol:125, (1972), 107-112.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Molla Basir Ahamed

Yayımlanma Tarihi 15 Ekim 2019
Gönderilme Tarihi 20 Aralık 2017
Kabul Tarihi 7 Temmuz 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 2

Kaynak Göster

APA Basir Ahamed, M. (2019). On Uniqueness of Two Meromorphic Functions Sharing A Small Function. Konuralp Journal of Mathematics, 7(2), 252-263.
AMA Basir Ahamed M. On Uniqueness of Two Meromorphic Functions Sharing A Small Function. Konuralp J. Math. Ekim 2019;7(2):252-263.
Chicago Basir Ahamed, Molla. “On Uniqueness of Two Meromorphic Functions Sharing A Small Function”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 252-63.
EndNote Basir Ahamed M (01 Ekim 2019) On Uniqueness of Two Meromorphic Functions Sharing A Small Function. Konuralp Journal of Mathematics 7 2 252–263.
IEEE M. Basir Ahamed, “On Uniqueness of Two Meromorphic Functions Sharing A Small Function”, Konuralp J. Math., c. 7, sy. 2, ss. 252–263, 2019.
ISNAD Basir Ahamed, Molla. “On Uniqueness of Two Meromorphic Functions Sharing A Small Function”. Konuralp Journal of Mathematics 7/2 (Ekim 2019), 252-263.
JAMA Basir Ahamed M. On Uniqueness of Two Meromorphic Functions Sharing A Small Function. Konuralp J. Math. 2019;7:252–263.
MLA Basir Ahamed, Molla. “On Uniqueness of Two Meromorphic Functions Sharing A Small Function”. Konuralp Journal of Mathematics, c. 7, sy. 2, 2019, ss. 252-63.
Vancouver Basir Ahamed M. On Uniqueness of Two Meromorphic Functions Sharing A Small Function. Konuralp J. Math. 2019;7(2):252-63.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.