James Alexander Shohat

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James Alexander Shohat (aka Jacques Chokhate (or Chokhatte), 18 November 1886, Brest-Litovsk – 8 October 1944, Philadelphia) was a Russian-American mathematician at the University of Pennsylvania who worked on the moment problem.[1] He studied at the University of Petrograd and married the physicist Nadiascha W. Galli, the couple emigrating from Russia to the United States in 1923.[1]

He was an Invited Speaker of the ICM in 1924 at Toronto.[2]

Selected works[]

References[]

  1. ^ Jump up to: a b Kline, J. R. (3 November 1944). "Obituary: James Alexander Shohat". Science. 100 (2601): 397–398. doi:10.1126/science.100.2601.397. PMID 17799450.
  2. ^ Shohat, J. A. "On the asymptotic properties of a certain class of Tchebycheff polynomials." Archived 2017-12-01 at the Wayback Machine In Proc. Intern. Math. Congress Toronto, pp. 611–618. 1924.
  3. ^ 18 Aug. 2012 email from R. Askey: "I suspect that "On mechanical quadratures, in particular, with positive coefficients", Trans AMS 42 (1937), 461-496 is the most important paper among those dealing with interpolation and quadrature, but I am not an expert on this and have not read enough to be sure."
  4. ^ 18 Aug. 2012 email from R. Askey: "I am not an expert on all of Shohat's work, but I think the most important paper is: A differential equation for orthogonal polynomials, Duke Math Journal, 5(1939)401-417. In it he finds a difference equation for a coefficient in the recurrence relation for polynomials orthogonal on the real line with respect to e^(-x^4). It turns out that this nonlinear difference equation is a discrete analogue of one of the Painleve differential equations, and I think the first discrete Painleve equation found."
  5. ^ Widder, D. V. (1945). "Review: J. A. Shohat and J. D. Tamarkin, The problem of moments". Bull. Amer. Math. Soc. 51 (11): 860–863. doi:10.1090/s0002-9904-1945-08459-6.
  6. ^ 18 Aug. 2012 email from R. Askey: "Norman Levinson give the following paper a very strong review. On van der Pol's and non-linear differential equations, J. Appl. Phys15 (1944), 568-574 [along with giving a very strong negative comment on Shohat's earlier paper on von der Pol's equation]."

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