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Walter Kurt Hayman FRS (born in Cologne, 6 January 1926) is a British mathematician known for contributions to complex analysis. He is Emeritus Professor at Imperial College London.
Hayman was elected to the Royal Society in 1956 and of the Finnish Academy of Science and Letters in 1978: he was elected "Foreign member" of the Accademia dei Lincei on 16 December 1985. In 1992 he received an honorary doctorate from the Faculty of Mathematics and Science at Uppsala University, Sweden In 1995 He was awarded the De Morgan Medal by the London Mathematical Society. In 2008, an issue of the Journal Computational Methods and Function Theory was dedicated to him on the occasion of his 80th birthday.
Papers
Hayman, W. K. (1952), "Functions with values in a given domain", Proceedings of the American Mathematical Society, 3 (3): 428–432, MR 0049323, Zbl 0048.31402, doi:10.1090/S0002-9939-1952-0049323-9.
Hayman, W. K. (1974), "The local growth of power series: a survey of the Wiman-Valiron method", Canadian Mathematical Bulletin, 17 (3): 317–358, MR 0385095, Zbl 0314.30021, doi:10.4153/CMB-1974-064-0.
Hayman, W. K.; Rossi, J. F. (1984), "Characteristic, maximum modulus and value distribution", Transactions of the American Mathematical Society, 284 (2): 651–664, MR 743737, Zbl 0547.30023, doi:10.1090/S0002-9947-1984-0743737-2.
Hayman, Walter K. (1993), "A problem on Fourier series arising from an Isoperimetric inequality", in Ricci, Paolo Emilio, Problemi attuali dell'analisi e della fisica matematica. Atti del simposio internazionale dedicato a Gaetano Fichera nel suo 70o compleanno. Taormina, 15–17 ottobre 1992, Roma: Dipartimento di Matematica Università di Roma La Sapienza – Aracne Editrice, pp. 119–125, MR 1249093, Zbl 0851.42009.
Hayman, W. K. (2002), "Univalent and Multivalent Functions", in Kuhnau, Reiner, Geometric Function Theory, Handbook of Complex Analysis, 1, Amsterdam: North-Holland, pp. 1–36, ISBN 0-444-82845-1, MR 1966188, Zbl 1069.30018.
Books
Hayman, W. K. (1964), Meromorphic functions, Oxford Mathematical Monographs, Oxford: Clarendon Press, pp. XIV+191, MR 0164038, Zbl 0115.06203.
Hayman, W. K.; Kennedy, P. B. (1976), Subharmonic functions. Volume 1, London Mathematical Society Monographs, 9, London–New York: Academic Press, pp. XVII+284, ISBN 0-12-334801-3, MR 0460672, Zbl 0419.31001.
Hayman, W. K. (1988), Subharmonic functions. Volume 2, London Mathematical Society Monographs, 20, London: Academic Press, pp. xiii+875, ISBN 0-12-334802-1, MR 1049148, Zbl 0699.31001.
Hayman, W. K. (1994) [1958], Multivalent functions, Cambridge Tracts on Mathematics, 110 (Second ed.), Cambridge: Cambridge University Press, pp. xii+263, ISBN 0-521-46026-3, MR 1310776, Zbl 0904.30001.
Hayman, W. K. (2014), My Life and Functions, Logic Press, pp. iv+138, ISBN 978-1-326-03020-9