G. N. Watson
G. N. Watson



Born 
George Neville Watson
(18860131)31 January 1886 
Died  2 February 1965(19650202) (aged 79)
Leamington Spa, Warwickshire

Nationality  British 
Alma mater  Trinity College, Cambridge 
Known for  Whittaker and Watson text Watson's quintuple product identity 
Awards  Smith's Prize (1909) Sylvester Medal (1946) De Morgan Medal (1947) Fellow of the Royal Society^{[1]} 
Scientific career  
Fields  mathematics 
Institutions  University of Birmingham University of Cambridge 
Doctoral advisor  E. T. Whittaker^{[2]} 
Prof George Neville Watson FRS HFRSE LLD (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions. His collaboration on the 1915 second edition of E. T. Whittaker's A Course of Modern Analysis (1902) produced the classic "Whittaker and Watson" text. In 1918 he proved a significant result known as Watson's lemma, that has many applications in the theory on the asymptotic behaviour of exponential integrals.^{[1]}^{[3]}^{[4]}
Life
He was born in Westward Ho! in Devon the son of George Wentworth Watson, a schoolmaster and genealogist, and his wife, Mary Justina Griffith.^{[5]}
He was educated at St Paul's School in London, as a pupil of F. S. Macaulay. He then studied Mathematics at Trinity College, Cambridge. There he encountered E. T. Whittaker, though their overlap was only two years.
From 1914 to 1918 he lectured in Mathematics at University College, London. He became Professor of Pure Mathematics at the University of Birmingham in 1918, replacing Prof R S Heath, and remained in this role until 1951.^{[6]}
He was awarded an honorary MSc Pure Science in 1919 by Birmingham University.^{[7]}
He was President of the London Mathematical Society 1933/35.
He died at Leamington Spa on 2 February 1965.
Works
His Treatise on the theory of Bessel functions (1922)^{[8]} also became a classic, in particular in regard to the asymptotic expansions of Bessel functions.
He subsequently spent many years on Ramanujan's formulae in the area of modular equations, mock theta functions^{[9]} and qseries, and for some time looked after Ramanujan's lost notebook.
Sometime in the late 1920s, G. N. Watson and B. M. Wilson began the task of editing Ramanujan's notebooks. The second notebook, being a revised, enlarged edition of the first, was their primary focus. Wilson was assigned Chapters 2–14, and Watson was to examine Chapters 15–21. Wilson devoted his efforts to this task until 1935, when he died from an infection at the early age of 38. Watson wrote over 30 papers inspired by the notebooks before his interest evidently waned in the late 1930s.^{[10]}
Ramanujan discovered many more modular equations than all of his mathematical predecessors combined. Watson provided proofs for most of Ramanujan's modular equations. Bruce C. Berndt completed the project begun by Watson and Wilson. Much of Berndt's book Ramanujan's Notebooks, Part 3 (1998) is based upon the prior work of Watson.^{[11]}
Watson's interests included solvable cases of the quintic equation. He introduced Watson's quintuple product identity.
Honours and awards
In 1919 Watson was elected a Fellow of the Royal Society,^{[1]} and in 1946, he received the Sylvester Medal from the Society. He was president of the London Mathematical Society from 1933 to 1935.
He is sometimes confused with the mathematician G. L. Watson, who worked on quadratic forms, and G. Watson, a statistician.
Family
In 1925 he married Elfrida Gwenfil Lane daughter of Thomas Wright Lane.^{[12]}
References
 ^ ^{a} ^{b} ^{c} Whittaker, J. M. (1966). "George Neville Watson 18861965". Biographical Memoirs of Fellows of the Royal Society. 12: 520–526. doi:10.1098/rsbm.1966.0026. S2CID 129103196.
 ^ G. N. Watson at the Mathematics Genealogy Project
 ^ Rankin, R. A. (1966). "George Neville Watson". Journal of the London Mathematical Society. s141: 551–565. doi:10.1112/jlms/s141.1.551.
 ^ O'Connor, John J.; Robertson, Edmund F., "G. N. Watson", MacTutor History of Mathematics archive, University of St Andrews
 ^ Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002 (PDF). The Royal Society of Edinburgh. July 2006. ISBN 9780902198845.
 ^ Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002 (PDF). The Royal Society of Edinburgh. July 2006. ISBN 9780902198845.
 ^ "University campus Blue Plaque Trail". Birmingham University. Archived from the original on 6 October 2014. Retrieved 12 November 2014.
 ^ Carmichael, R. D. (1924). "Review: A Treatise on the Theory of Bessel Functions, by G. N. Watson". Bull. Amer. Math. Soc. 30 (7): 362–364. doi:10.1090/s000299041924039068.
 ^ Watson, G. N. (1937). "The mock theta functions (2)". Proceedings of the London Mathematical Society. 2 (1): 274–304. doi:10.1112/plms/s242.1.274.
 ^
Berndt, Bruce C. "An overview of Ramanujan's notebooks" (PDF). math.uiuc.edu/~berndt/articles/aachen.pdf. p. 3; paper delivered at Proc. Conf. Karl der Grosse
{{cite web}}
: CS1 maint: postscript (link)  ^ Adiga, B.; Berndt, B. C.; Bhargava, S.; Watson, G. N. (1985), Ramanujan's second notebook: Thetafunctions and qseries Chap. 16, vol. 53, Providence, Rhode Island: Amer. Math. Soc., pp. 1–85, archived from the original on 4 July 2017, retrieved 22 February 2017
 ^ "George Neville Watson, Sc.D. (Cantab.), Hon.LL.D. (Edin.), Hon.Sc.D. (Dub.), F.R.S., Hon.F.R.S.E.  RSE Obituary".
Copyright
 This page is based on the Wikipedia article G. N. Watson; it is used under the Creative Commons AttributionShareAlike 3.0 Unported License (CCBYSA). You may redistribute it, verbatim or modified, providing that you comply with the terms of the CCBYSA.