본문 바로가기
KERD
논문KCI 등재

Value distribution and uniqueness on q-differences of meromorphic functions

Zhibo Huang
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회보 (Bulletin of the KMS)|제50권 제4호|pp. 1157-1171

1

조회

0

다운로드

3

인용

0

참고문헌

키워드

uniquenesscharacteristic functionq-difference polynomialshar- ing value
주제분류수학

초록

In this paper, by using the q-difference analogue of lemma on the logarithmic derivative lemma to re-establish some estimates of Nevanlinna characteristics of f(qz), we deal with the value distribution and uniqueness of certain types of q-difference polynomials.

Abstract

In this paper, by using the q-difference analogue of lemma on the logarithmic derivative lemma to re-establish some estimates of Nevanlinna characteristics of f(qz), we deal with the value distribution and uniqueness of certain types of q-difference polynomials.

참고문헌 (16)

  1. D. C. Barnett, "Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations", Proc. Roy. Soc. Edinburgh Sect. A, 137(3), pp.457~474 (2007)
  2. Y. M. Chiang, "On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane", Ramanujan J, 16(1), pp.105~129 (2008)
  3. Z. X. Chen, "Value distribution of products of meromorphic functions and their differences", Taiwanese J. Math, 15(4), pp.1411~1421 (2011)
  4. Z. X. Chen, "On properties of difference polynomials", Acta Math. Sci. Ser. B Engl. Ed, 31(2), pp.627~633 (2011)
  5. R. G. Halburd, "Difference analogue of the lemma on the logarithmic derivative with applications to difference equations", J. Math. Anal. Appl, 314(2), pp.477~487 (2006)
  6. R. G. Halburd, "Nevanlinna theory for the difference operator", Ann. Acad. Sci. Fenn. Math, 31(2), pp.463~478 (2006)
  7. W. K. Hayman, "Meromorphic Functions" (1964), Clarendon Press
  8. J. Heittokangas, "Value sharing results for shifts of meromorphic functions, and sufficient condition for periodicity", J. Math. Anal. Appl, 355(1), pp.352~363 (2009)
  9. I. Laine, "Clunie theorems for difference and q-difference polynomials", J. Lond. Math. Soc, 76(3), pp.556~566 (2007)
  10. I. Laine, "Value distribution of difference polynomials", Proc. Japan Acad. Ser. A Math. Sci, 83(8), pp.148~151 (2007)
  11. X. D. Luo, "Value sharing results for shifts of meromorphic functions", J. Math. Anal. Appl, 377(2), pp.441~449 (2011)
  12. Xiaoguang Qi, "Value sharing results of a meromorphic function f(z) and f(qz)", 대한수학회보, 48(6), pp.1235~1243 (2011), 대한수학회
  13. Junfeng Xu, "Uniqueness of Entire Functions and Differential Polynomials", 대한수학회보, 44(4), pp.623~629 (2007), 대한수학회
  14. L. Yang, "Value Distribution Theory and New Research" (1982), Science Press
  15. C. C. Yang, "Uniqueness and value sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22(2), pp.395~406 (1997)
  16. J. L. Zhang, "On the Nevanlinna characteristic of f(qz) and its application", J. Math. Anal. Appl, 369(2), pp.537~544 (2010)

관련 논문AI추천

Value distribution of some $q$-difference polynomialsChun-Ping Zhong, Na Xu대한수학회 · 대한수학회보2016 · 제53권 제1호VALUE DISTRIBUTION AND UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE POLYNOMIALSHARINA P. WAGHAMORE, RAJESHWARI S.장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호Sets and value sharing of q-differences of meromorphic functionsLian-Zhong Yang, Xiao-Guang Qi대한수학회 · 대한수학회보2013 · 제50권 제3호A note on the value distribution of differential polynomialsBikash Chakraborty, Hari M. Srivastava, Subhas S. Bhoosnurmath대한수학회 · 대한수학회논문집2019 · 제34권 제4호Value distribution of difference operator on meromorphic functionsJie Ding, Lian-Zhong Yang대한수학회 · 대한수학회보2014 · 제51권 제5호Zeros and Uniqueness of Difference Polynomials of Meromorphic FunctionsJia Dou, Xiaoguang Qi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호

이 간행물의 다른 논문 (27건)

SURFACES OF REVOLUTION SATISFYING △IIG = f(G + C)Mohammed Bekkar, Chahrazede Baba-Hamedpp. 1061-1067Some algebraic and topological properties of the nonabelian tensor productDaniele Ettore Otera, Francesco G. Russo, Corrado Tanasipp. 1069-1077BSDEs on finite and infinite time horizon with discontinuous coefficientsYong Ren, Pengju Duanpp. 1079-1086Melting of the Euclidean metric to negative scalar curvature김종수pp. 1087-1098Mannheim curves in 3-dimensional space forms최진호, 김영호, 강태호pp. 1099-1108
원문 보기