Nathan Jacob Fine (22 October 1916 in Philadelphia – 18 November 1994 in Deerfield Beach, Florida) was an American mathematician who worked on basic hypergeometric series. He is best known for his lecture notes on the subject which for four decades served as an inspiration to experts in the field until they were finally published as a book. He solved the Jeep problem in 1946.
Nathan Fine retired in 1978 as a professor at Pennsylvania State University. Prior to that he had been on the faculties of the University of Pennsylvania and Cornell University. For a brief period (1946–1947) he also worked at the Operations Evaluation Group, affiliated with the Massachusetts Institute of Technology. Beside the book he published about 40 papers in several fields of mathematics. He is known for the Rogers-Fine identity.[1]
Nathan Fine received his Ph.D. in 1946 from University of Pennsylvania, where he was a student of Antoni Zygmund. Fine was at the Institute for Advanced Study for the three academic years 1953–1954, 1958–1959, and 1959–1960.[2] Fine's doctoral students include J. J. Price.
He wrote the book Basic Hypergeometric Series and Applications ISBN 0-8218-1524-5.[3][4]
^Laughlin, James Mc (22 September 2017). "Chapter 9. The Rogers-Fine identity". Topics and Methods in q-Series. pp. 71–79. ISBN 9789813223387.
^"Natham J. Fine". Institute for Advanced Study. 9 December 2019.
^Askey, Richard (1989). "Review: Nathan J. Fine, Basic hypergeometric series and applications". Bull. Amer. Math. Soc. (N.S.). 21 (1): 130–132. doi:10.1090/s0273-0979-1989-15789-3.
^Fine, Nathan Jacob (1988). Basic Hypergeometric Series and Applications. ISBN 9780821815243; pbk edition{{cite book}}: CS1 maint: postscript (link)
Nathan Jacob Fine (22 October 1916 in Philadelphia – 18 November 1994 in Deerfield Beach, Florida) was an American mathematician who worked on basic hypergeometric...
2009; pg. 3. "Brotherhood of Locomotive Engineers," in Solon DeLeon and NathanFine (eds.), The American Labor Year Book, 1926. New York: Rand School of...
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Nathan Cummings Foundation. ISBN 1886333270. OCLC 37363922. DeLeon and Fine (eds.), The American Labor Year Book, 1925, pp. 122-126. DeLeon and Fine (eds...
to the historical consensus that the trial was a travesty. Historian NathanFine points out that trade-union activities continued to show signs of growth...
"International Brotherhood of Stationary Firemen and Oilers," in Solon DeLeon and NathanFine (eds.), American Labor Year Book, 1926. New York: Rand School of Social...
NathanFine, Trade Unionism in the United States, D. Appleton and Co., 1921, pages 195-200. Robert Franklin Hoxie, Lucy Bennett Hoxie, NathanFine, Trade...
Melting Pot. Chicago: The University of Chicago Press, 1971. pp. 89-153. NathanFine, Farmer and Labor Parties in the United States, 1828–1928. New York:...
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Hoxie, NathanFine, Trade Unionism in the United States, D. Appleton and Co., 1921, page 49. Robert Franklin Hoxie, Lucy Bennett Hoxie, NathanFine, Trade...
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Zygmund's work". Zygmund's students included Alberto Calderón, Paul Cohen, NathanFine, Józef Marcinkiewicz, Victor L. Shapiro, Guido Weiss, Elias M. Stein...
related them to harmonic weak Maass forms. See also the monograph by NathanFine. The seven order-3 mock theta functions given by Ramanujan are f ( q...
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Political Action," in Fine (ed.), American Labor Year Book, 1930, pg. 129. "League for Independent Political Action," in NathanFine (ed.), The American...
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pg. 11. Solon DeLeon and NathanFine (eds.), The American Labor Year Book, 1923-1924, pg. 152. Solon DeLeon and NathanFine (eds.), The American Labor...
anything. Nathan proposes a bet he believes he cannot lose: Sky must take a woman of Nathan's choice to dinner in Havana, Cuba. Sky agrees, and Nathan chooses...
Theorems II. On the Characters of Certain Compact Abelian Groups advised by NathanFine (1956). Price participated in a research project for the Air Force (1956–58)...
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1929), p. 1. Fine (ed.), The American Labor Year Book, 1930, p. 94. Fine (ed.), The American Labor Year Book, 1930, pp. 95. NathanFine (ed.), The American...
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\mathbb {R} } be the real line with the standard topology. In 1962, NathanFine and Leonard Gillman proved that, assuming the continuum hypothesis: There...
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