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Contributions of Lo Yang to value distribution theory. (English) Zbl 1425.30001

Summary: Professor Lo Yang is a world famous mathematician of our country. He made a lot of outstanding achievements in the value distribution theory of function theory, which are highly rated and widely quoted by domestic and foreign scholars. He also did a lot of work to develop Chinese mathematics. It can be said that Professor Yang is one of the mathematicians who made main influences on the mathematical development in modern China. This paper briefly introduces Professor Yang’s life, mainly discusses his academic achievement and influence, and briefly describes his contributions to the Chinese mathematics community.

MSC:

30-03 History of functions of a complex variable
01A25 History of Chinese mathematics
01A70 Biographies, obituaries, personalia, bibliographies
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Biographic References:

Yang, Lo
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References:

[1] Yang, L.: Multiple values of meromorphic functions and of their combinations (in Chinese). Acta Math. Sinica, 14, 428-437 (1964) · Zbl 0163.09204
[2] Yang, L., Zhang, G. H.: Recherches sur la normalité des familles de fonctions analytiques à des valeurs multiples, I. Un noveau critère et quelques applications. Scientia Sinica, 14, 1258-1271 (1965); II. Géneralisations, Scientia Sinica, 15, 433-453 (1966) · Zbl 0166.32602
[3] Yang, L., Zhang, G. H.: Recherches sur le nombre des valeurs deficientes et le nombre des directions de Borel des fonctions méromorphes. Scientia Sinica, 18, 23-37 (1975) · Zbl 0326.30023
[4] Yang, L., Zhang, G. H.: Sur la construction des fonctions méromorphes ayant des directions singuhères données. Scientia Sinica, 19, 445-459 (1976) · Zbl 0338.30022
[5] Yang, L.: Angular distribution and multiple values between entire functions and their derivatives. Scientia Sinica, 23, 16-39 (1980) · Zbl 0449.30018
[6] Yang, L., Drasin, D., Weitsman, A., Zhang, G. H.: Deficient values of entire functions and their derivatives. Proc. Amer. Math. Soc., 82, 607-612 (1981) · Zbl 0473.30025 · doi:10.1090/S0002-9939-1981-0614887-9
[7] Yang, L.: Deficient functions of meromorphic functions. Scientia Sinica, 24, 1179-1189 (1981) · Zbl 0466.30023
[8] Yang, L.: Value distribution of meromorphic functions and their derivatives. Scientia Sinica, Series A, 25, 572-582 (1982) · Zbl 0498.30039
[9] Yang, L., Hayman, W. K.: Growth and values of functions regular in an angle. Proc. London Math. Soc., 44, 193-214 (1982) · Zbl 0486.30019
[10] Yang, L.: Meromorphic functions and their derivatives. J. London Math. Soc., 25, 288-296 (1982) · Zbl 0458.30019
[11] Yang, L.: Normal families and differential polynomials. Scientia Sinica, Series A, 26, 673-686 (1983) · Zbl 0518.30031
[12] Yang, L., Zhang, Q. D.: New singular directions of meromorphic functions. Scientia Sinica, Series A, 27, 352-366 (1984) · Zbl 0539.30020
[13] Yang, L., Long, R. L.: BMO functions in spaces of homogeneous type. Scientia Sinica, Series A, 27, 695-708 (1984) · Zbl 0572.42011
[14] Yang, L., Chuang, C. T.: Distribution of the values of meromorphic functions. Contemporary Math., 48, 21-63 (1985) · Zbl 0578.30019 · doi:10.1090/conm/048/838098
[15] Yang, L.: Normal families and fix-points of meromorphic functions. Indiana Univ. Math. J., 35, 179-191 (1986) · Zbl 0589.30027 · doi:10.1512/iumj.1986.35.35010
[16] Yang, L.: Deficient values and angular distribution of entire functions. Trans. Amer. Math. Soc., 308, 583-601 (1988) · Zbl 0653.30022 · doi:10.1090/S0002-9947-1988-0930073-8
[17] Yang, L.: Precise estimate of total deficiency of meromorphic derivatives. J. d’Analyse Math., 55, 287-296 (1990) · Zbl 0724.30026 · doi:10.1007/BF02789206
[18] Yang, L.: Precise fundamental inequalities and sum of deficiencies. Science in China, Series A, 34, 157-165 (1991) · Zbl 0741.30026
[19] Yang, L., Gong, S., Lu, Q. K., Wang, Y.: International Symposium in Memory of Hua Loo Keng, vol. I, Number Theory; vol. II, Analysis, Springer-Verlag, 1991 · Zbl 0849.00033
[20] Yang, L.: Some recent results and problems in the theory of value distribution, Proceedings of Symposium on Value Distribution Theory in Several Complex Variables, Notre Dame University Press, 157-171 (1992) · Zbl 0869.30026
[21] Yang, L.: Value Distribution Theory, Springer-Verlag, 1993 · Zbl 0790.30018
[22] Barth, K. F., Branan, D. A., Hayman, W. K.: Research problems in complex analysis. Bull. London Math. Soc., 16, 490-517 (1984) · Zbl 0593.30001 · doi:10.1112/blms/16.5.490
[23] Drasin, D., Weitsman, A.: On the Julia directions and Borel directions of entire functions. Proc. London Math. Soc., 32, 199-212 (1976) · Zbl 0318.30030 · doi:10.1112/plms/s3-32.2.199
[24] Essén, M., Wu, S. J.: Repulsive fix-points of entire functions with applications to complex dynamics. J. London Math. Soc., 62, 139-149 (2000) · Zbl 0955.30026 · doi:10.1112/S0024610700001149
[25] Feit, W.: A mathematical visit to China, May 1976. Notices Amer. Math. Soc., 24, 110-113 (1977)
[26] Fitzgerald, A., MacLane, S.: Pure and Applied Mathematics in the People’s Republic of China, National Academy of Science, Washington D. C., 1977
[27] Fuchs, W. H. J.: Book review: Theory of entire and meromorphic functions—Deficient and asymptotic values and singular directions. Bull. Amer. Math. Soc., 30, 319-326 (1994) · doi:10.1090/S0273-0979-1994-00478-1
[28] Goldberg, A. A.: Existence and some properties for which Yang Le deficiency relation reaches equality. Mat. Stud.3, 53-60 (1994) · Zbl 1053.30514
[29] Goldberg, A. A., Levin, L., Ostrovskii, I. V.: Entire and meromorphic functions. Complex analysis, Encyclopedia of Mathematical Sciences, 85, 1-195 (1997) · Zbl 0855.00006 · doi:10.1007/978-3-662-03396-8_1
[30] Gu, Y. X.: A criterion for normality of meromorphic functions (in Chinese). Sci. Sinica, special issue (I), 267-274 (1979) · Zbl 1171.30308
[31] Hayman, W. K.: Meromorphic Functions, Clarendon Press, Oxford, 1964 · Zbl 0115.06203
[32] Hayman, W. K.: Research Problems in Function Theory, Athlone Press (University of London), 1967 · Zbl 0158.06301
[33] Nevanlinna, R.: Analytic Functions, New York, 1970 · Zbl 0199.12501
[34] Nevanlinna, R.: Le theorem de Picard-Borel et la theorie des fonctions meromorphes, Gauthier Villars, Paris, 1929 · JFM 55.0773.03
[35] Qiao, J. Y.: Two problems in value distribution theory. Acta Math. Sinica, in Chinese, 11, 365-371 (1995) · Zbl 0842.30026 · doi:10.1007/BF02248746
[36] Valiron, G.: Directions de Borel des Fonctions Méromorphes, Mémor. Sci. Math., fasc. 89, Paris, 1938 · Zbl 0018.07303
[37] Drasin, D.: Normal families and the Nevanlinna theory. Acta Math., 122, 231-263 (1969) · Zbl 0176.02802 · doi:10.1007/BF02392012
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