James Alexander Shohat ( Jacques Chokhate (or Chokhatte) , 18 November 1886, Brest-Litovsk – 8 October 1944, Philadelphia) was a Russian and American mathematician at the University of Pennsylvania who worked on the moment problem. 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.
He was an Invited Speaker of the ICM in 1924 at Toronto.Shohat, J. A. "On the asymptotic properties of a certain class of Tchebycheff polynomials." In Proc. Intern. Math. Congress Toronto, pp. 611–618. 1924.
Selected works
with J. Sherman:
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." 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." with J. D. Tamarkin: 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]."
See also Shohat expansion Shohat–Favard theorem
References
External links