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THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI

Year 2017, Volume: 5 Issue: 2, 216 - 227, 15.10.2017

Abstract

In this paper, we present a unified approach of investigating the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions on annuli and deduced several results on uniqueness of algebroid functions on annuli.

References

  • [1] T. B. Cao, Z. S. Deng, On the uniqueness of meromorphic functions that share three or two nite sets on annuli, Proceeding Mathematical Sciences, 122(2012), 203-220.
  • [2] D. Sun, Z. Gao, Uniqueness theorem for algebroid functions, J.South China normal Univ.; 3 (2005)80-85.
  • [3] D. Sun, Z. Gao, On the operation of algebroid functions, Acta Mathematica.Scientia, (2010); 247-256.
  • [4] D. Sun, Z. Gao, Value disribution theory of algebroid functions, beijing: Science Press; (2014).
  • [5] H. X. Yi, On the multiple values and uniqueness of algebroid functions , Eng.Math.; 8 (1991), 1-8.
  • [6] W. K. Hayman, Meromorphic functions ,Oxford: Oxford University Press; (1964).
  • [7] A. Ya. Khrystiyanyn, A. A. Kondratyuk, On the Nevanlinna Theory for meromorphic functions on annuli. I, Mathematychin Studii, 23 (2005), 19-30.
  • [8] A. Ya. Khrystiyanyn, A. A. Kondratyuk, On the Nevanlinna Theory for meromorphic functions on annuli. II, Mathematychin Studii, 24 (2005), 57-68.
  • [9] M. Fang. Unicity theorem for algebroid functions , Acta. Math. Sinica.; 36 (1993), 217-222.
  • [10] Q. Zhang, Uniqueness of algebroid functions ,Math. Pract. Theory.; 43 (2003), 183-187.
  • [11] T. Cao, H. X. Yi, On the uniqueness theory of algebroid functions ,Southest Asian Bull.Math.; 33, (2009), 25-39.
  • [12] Y. Tan, Several uniqueness theorems of algebroid functions on annuli. Acta Mathematica Scientia, 36B(1) (2016), 295-316.
  • [13] Y. T, Q. Zhang, The fundamental theorems of algebroid functions on annuli. Turk. J. Math; 39 (2015), 293-312.
  • [14] Y. Tan, Y. Wang, On the multiple values and uniqueness of algebroid functions on annuli. Complex Variables and Elliptic Equations, 60(9), (2015), 1254-1269.
  • [15] C. C. Yang, H. X. Yi, Uniqueness theory of meromorphic functions, Science Press, 1995; Kluwer, (2003).
  • [16] H. X. Yi, The multiple values of meromorphic functions and uniqueness, Chinese Ann. Math. Ser. A, 10 (4) (1989), 421-427.
  • [17] S. Axler, Harmonic functions from a complex analysis view point, Amer Math Monthly, 93(4) (1986), 246-258.
  • [18] Ashok Rathod, Several uniqueness theorems for algebroid functions, J. Anal, DOI 10.1007/s41478-017-0041-x.
  • [19] Ashok Rathod, Nevanlinna's ve-value theorem for algebroid functions, Ufa Mathematical Journal(accepted).
Year 2017, Volume: 5 Issue: 2, 216 - 227, 15.10.2017

Abstract

References

  • [1] T. B. Cao, Z. S. Deng, On the uniqueness of meromorphic functions that share three or two nite sets on annuli, Proceeding Mathematical Sciences, 122(2012), 203-220.
  • [2] D. Sun, Z. Gao, Uniqueness theorem for algebroid functions, J.South China normal Univ.; 3 (2005)80-85.
  • [3] D. Sun, Z. Gao, On the operation of algebroid functions, Acta Mathematica.Scientia, (2010); 247-256.
  • [4] D. Sun, Z. Gao, Value disribution theory of algebroid functions, beijing: Science Press; (2014).
  • [5] H. X. Yi, On the multiple values and uniqueness of algebroid functions , Eng.Math.; 8 (1991), 1-8.
  • [6] W. K. Hayman, Meromorphic functions ,Oxford: Oxford University Press; (1964).
  • [7] A. Ya. Khrystiyanyn, A. A. Kondratyuk, On the Nevanlinna Theory for meromorphic functions on annuli. I, Mathematychin Studii, 23 (2005), 19-30.
  • [8] A. Ya. Khrystiyanyn, A. A. Kondratyuk, On the Nevanlinna Theory for meromorphic functions on annuli. II, Mathematychin Studii, 24 (2005), 57-68.
  • [9] M. Fang. Unicity theorem for algebroid functions , Acta. Math. Sinica.; 36 (1993), 217-222.
  • [10] Q. Zhang, Uniqueness of algebroid functions ,Math. Pract. Theory.; 43 (2003), 183-187.
  • [11] T. Cao, H. X. Yi, On the uniqueness theory of algebroid functions ,Southest Asian Bull.Math.; 33, (2009), 25-39.
  • [12] Y. Tan, Several uniqueness theorems of algebroid functions on annuli. Acta Mathematica Scientia, 36B(1) (2016), 295-316.
  • [13] Y. T, Q. Zhang, The fundamental theorems of algebroid functions on annuli. Turk. J. Math; 39 (2015), 293-312.
  • [14] Y. Tan, Y. Wang, On the multiple values and uniqueness of algebroid functions on annuli. Complex Variables and Elliptic Equations, 60(9), (2015), 1254-1269.
  • [15] C. C. Yang, H. X. Yi, Uniqueness theory of meromorphic functions, Science Press, 1995; Kluwer, (2003).
  • [16] H. X. Yi, The multiple values of meromorphic functions and uniqueness, Chinese Ann. Math. Ser. A, 10 (4) (1989), 421-427.
  • [17] S. Axler, Harmonic functions from a complex analysis view point, Amer Math Monthly, 93(4) (1986), 246-258.
  • [18] Ashok Rathod, Several uniqueness theorems for algebroid functions, J. Anal, DOI 10.1007/s41478-017-0041-x.
  • [19] Ashok Rathod, Nevanlinna's ve-value theorem for algebroid functions, Ufa Mathematical Journal(accepted).
There are 19 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

ASHOK Rathod

Publication Date October 15, 2017
Submission Date October 15, 2017
Acceptance Date October 6, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Rathod, A. (2017). THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI. Konuralp Journal of Mathematics, 5(2), 216-227.
AMA Rathod A. THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI. Konuralp J. Math. October 2017;5(2):216-227.
Chicago Rathod, ASHOK. “THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI”. Konuralp Journal of Mathematics 5, no. 2 (October 2017): 216-27.
EndNote Rathod A (October 1, 2017) THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI. Konuralp Journal of Mathematics 5 2 216–227.
IEEE A. Rathod, “THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI”, Konuralp J. Math., vol. 5, no. 2, pp. 216–227, 2017.
ISNAD Rathod, ASHOK. “THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI”. Konuralp Journal of Mathematics 5/2 (October 2017), 216-227.
JAMA Rathod A. THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI. Konuralp J. Math. 2017;5:216–227.
MLA Rathod, ASHOK. “THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI”. Konuralp Journal of Mathematics, vol. 5, no. 2, 2017, pp. 216-27.
Vancouver Rathod A. THE MULTIPLE VALUES OF ALGEBROID FUNCTIONS AND UNIQUENESS ON ANNULI. Konuralp J. Math. 2017;5(2):216-27.
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