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Yang, Degui; He, Zhiying; Liu, Dan

Two results on the value distribution of meromorphic functions. (English) Zbl 07903512

Open Math. 22, Article ID 20240004, 8 p. (2024).

MSC:

30D30 Meromorphic functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Keywords:

meromorphic functions; value distribution; characteristic function; derivatives
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References:

[1] W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. · Zbl 0115.06203
[2] I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.
[3] L. Yang, Value Distribution Theory, Springer, Berlin, 1993. · Zbl 0790.30018
[4] A. Edrei, Sums of deficiencies of meromorphic functions II, J. Anal. Math. 19 (1967), 53-74. · Zbl 0163.31304
[5] M. L. Fang, A note on a result of Singh and Kulkarni, Int. J. Math. Math. Sci. 23 (2000), 285-288. · Zbl 0954.30018
[6] S. K. Singh and H. S. Gopalakrishna, Exceptional values of entire and meromorphic functions, Math. Ann. 191 (1971), 121-142. · Zbl 0207.07401
[7] S. K. Singh and V. N. Kulkarni, Characteristic function of a meromorphic function and its derivative, Ann. Polon. Math. 28 (1973), 123-133. · Zbl 0273.30025
[8] A. Weitsman, Meromorphic functions with maximal deficiency sum and a conjecture of F. Nevanlinna, Acta Math. 123 (1969), 115-139. · Zbl 0185.14502
[9] J. Wu and Z. J. Wu, Characteristic function of a meromorphic function and its derivatives, Bull. Iranian Math. Soc. 39 (2013), no. 6, 1117-1123. · Zbl 1300.30066
[10] L. Z. Yang, Sum of deficiencies of meromorphic function and its characteristic function, J. Shandong Univ. Nat. Sci. 24 (1989), 7-11. · Zbl 0682.30025
[11] W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. Math. 70 (1959), no. 1, 9-42. · Zbl 0088.28505
[12] C. C. Yang, On the value distribution of a transcendental meromorphic function and its derivatives, Indian J. Pure Appl. Math. 35 (2004), no. 8, 1027-1031. · Zbl 1088.30021
[13] K. Yamanoi, Zeros of higher derivatives of meromorphic functions in the complex plane, Proc. Lond. Math. Soc. 106 (2013), no. 4, 703-780. · Zbl 1300.30067
[14] J. Langley, Zeros of derivatives of meromorphic functions, Comput. Methods Funct. Theory 10 (2010), no. 2. 421-439. · Zbl 1210.30011
[15] G. Frank and G. Weissenborn, Rational deficient functions of meromorphic functions, Bull. Lond. Math. Soc. 18 (1986), no. 1, 29-33. · Zbl 0586.30025
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