Abstract
Value distribution theory is concerned with the position and frequency of solutions of the equation f(z) = a. Here f may be entire, i.e. an everywhere convergent power series or meromorphic, i.e. the ratio of two such series, or a function in some other domains, such as an angle or a disk.
Yang Lo’s significant contributions to this area will be highlighted. Some of his important contributions to normal families will also be described.
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List of Publications (Yang Lo) I. Papers
Yang L. Multiple values of meromorphic functions and of their combinations (in Chinese). Acta Math Sinica, 1964, 14: 428–437
Yang L. Sur les valeurs quasi-exceptionelles des fonctions holomorphes. Scientia Sinica, 1964, 13: 879–885
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Yang L, Shiao S Z. Sur les points de Borel des fonctions méromorphes et de leur dérivées. Scientia Sinica, 1965, 14: 1556–1573
Yang L, Zhang G H. Recherches sur la normalité des familles de fonctions analytiques à des valeurs multiples, II. Généralisations. Scientia Sinica, 1966, 15: 433–453
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Yang L, Zhang G H. Tangential cluster sets and boundary properties of meromorphic functions (in Chinese). Acta Math Sinica, 1975, 18: 136–148
Yang L, Zhang G H. Deficient values of entire functions (in Chinese). Acta Math Sinica, 1975, 18: 35–53
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Yang L, Zhang G H. Sur la construction des fonctions méromorphes ayant des directions singulières données. Scientia Sinica, 1976, 19: 445–459
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Yang L, Zhang G H. Deficient values of extremal entire functions. Scientia Sinica, 1977, 20: 421–435
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Yang L. Common Borel directions of a meromorphic function and its derivatives. Scientia Sinica, 1979, Special Issue (II): 91–104
Yang L, Hayman W K. Value distribution of holomorphic functions in an angle (in Chinese). Bull Science, 1980, 25: 385–388
Yang L. Angular distribution and multiple values between entire functions and their derivatives. Scientia Sinica, 1980, 23: 16–39
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Yang L. Value distribution of meromorphic functions and their derivatives. Scientia Sinica Ser A, 1982, 25: 572–582
Yang L, Zhang G H. A general theorem on the number of deficient values of entire functions (in Chinese). Acta Math Sinica, 1982, 25: 244–247
Yang L, Zhang G H. Distribution of zeros and poles of meromorphic functions and their filling disks. Scientia Sinica Ser A, 1982, 25: 371–383
Hayman W K, Yang L. Growth and values of functions regular in an angle. Proc London Math Soc, 1982, 44: 193–214
Yang L. Meromorphic functions and their derivatives. J London Math Soc, 1982, 25: 288–296
Yang L. Bloch principle and related topics (in Chinese). J East China Normal Univ, 1983, 1–6
Yang L. A fundamental inequality and its applications. Chin Ann Math Ser B, 1983, 4: 339–346
Yang L. Normal families and differential polynomials. Scientia Sinica Ser A, 1983, 26: 673–686
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Yang L. Quasi-deficient values of meromorphic functions (in Chinese). Acta Math Sinica, 1984, 27: 249–256
Yang L, Zhang Q D. New singular directions of meromorphic functions. Scientia Sinica Ser A, 1984, 27: 352–366
Yang L. A general criterion for normality. Acta Math Sinica New Ser, 1985, 1: 181–192
Yang L, Chuang C T. Distribution of the values of meromorphic functions. Contemp Math, 1985, 48: 21–63
Yang L, Zhang Q D. Normality for families of meromorphic functions. Scientia Sinica Ser A, 1986, 29: 1263–1274
Yang L. Angular distribution of meromorphic functions and their derivatives (in Chinese). Acta Math Sinica, 1986, 29: 355–361
Yang L. Some results on value distribution theory of entire and meromorphic functions. Adv Sci China Math, 1986, 1: 199–223
Yang L. Normal families and fix-points of meromorphic functions. Indiana Univ Math J, 1986, 35: 179–191
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Yang L. Growth and angular distribution of entire functions. Complex Var, 1989, 13: 155–160
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II. Monographes
Yang L. Theory of Value-Distribution and its New Development (in Chinese). Beijing: Science Press, 1982
Yang L. Value Distribution Theory. Berlin: Springer-Verlag, 1993
III. Proceedings
International Smyposium in Memory of Hua Loo Keng, vol. I, Number Theory. Berlin: Springer-Verlag, 1991 (edited with Sheng Gong, Qi-Keng Lu and Yuan Wang)
International Smyposium in Memory of Hua Loo Keng, vol. II, Analysis. Berlin: Springer-Verlag, 1991 (edited with Sheng Gong, Qi-Keng Lu and Yuan Wang)
Proceedings of Asian Mathematical Conference 1990. Singapore: World Scientific Publication Company, 1992 (edited with Zhong Li, K.P. Shum and C.C. Yang)
Lectures Notes in Contemporary Mathematics, vol. 2. Beijing-New York: Science Press, 1992 (edited with Bingren Li and Shixue Zhu)
Proceedings of International Conference on Complex Analysis, Nankai Institute of Mathematics, 1992. Somerville: International Press, 1994 (edited with Zhong Li, Fuyao Ren and Shunyan Zhang)
Sixty years of Chinese Mathematical Society (in Chinese). Changsha: Hunan Education Press, 1996
First International Congress of Chinese Mathematicians, Proceedings of ICCM 98. Providence, RI-Somerville, MA: American Mathematical Society & International Press (edited with Shing-Tong Yau)
Proceedings of the Eighth International Colloquium on Finite or Infinite Dimensional Complex Analysis. Jinan: Shandong Sci & Tech Press, 2001 (edited with Hong-Xun Yi)
Proceedings of Third Asian Mathematics Conference 2000. Singapore: World Scitific Publication Company, 2002 (edited with T. Sunada & P.W. Sy)
Second International Congress of Chinese Mathematicians, Proceedings of ICCM 2001. Somerville, MA: International Press, 2004 (edited with Chang-Shou Lin & Shing-Tong Yau)
Proceedings of the 4th International Congress of Chinese Mathematicians, vols. I, II, III. Beijing: Higher Education Press, 2007 (edited with Lizhen Ji, Kefeng Liu and Shing-Tong Yau)
Proceedings of the 13th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications. Singapore: World Scitific Publication Company, 2006 (edited with Yuefei Wang, Shengjian Wu and Hasi Wulan)
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Dedicated to Professor Yang Lo on the Occasion of his 70th Birthday
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Hayman, W.K., Wu, S. Value distribution theory and the research of Yang Lo. Sci. China Math. 53, 513–522 (2010). https://doi.org/10.1007/s11425-010-0045-3
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DOI: https://doi.org/10.1007/s11425-010-0045-3