James Alexander Shohat
James Alexander Shohat (também Jacques Chokhate (ou Chokhatte); Brest, Bielorrússia, 18 de novembro de 1886 – Filadélfia, 8 de outubro de 1944) foi um matemático estadunidense, professor da Universidade da Pensilvânia.[1]
Foi palestrante convidado do Congresso Internacional de Matemáticos em Toronto (1924),[2] Bolonha (1928) e Zurique (1932).
Publicações selecionadas[editar | editar código-fonte]
- «On a general formula in the theory of Tchebycheff polynomials and its applications». Trans. Amer. Math. Soc. 29 (3): 569–583. 1927. MR 1501405. doi:10.1090/s0002-9947-1927-1501405-8
- «A simple method for normalizing Tchebycheff polynomials and evaluating the elements of the allied continued fractions». Bull. Amer. Math. Soc. 33 (4): 427–432. 1927. MR 1561395. doi:10.1090/s0002-9904-1927-04396-8
- com J. Sherman: «On the numerators of the continued fraction». Proc Natl Acad Sci U S A. 18 (3): 283–287. 1932. PMC 1076208
. PMID 16587678. doi:10.1073/pnas.18.3.283 - «On the development of functions in a series of polynomials». Bull. Amer. Math. Soc. 41 (2): 49–82. 1935. MR 1563024. doi:10.1090/s0002-9904-1935-06007-0
- «Mechanical quadratures, in particular, with positive coefficients». Trans. Amer. Math. Soc. 42 (3): 461–496. 1937. MR 1501930. doi:10.1090/s0002-9947-1937-1501930-6[3]
- «A differential equation for orthogonal polynomials». Duke Math. J. 5 (2): 401–417. 1939. MR 1546133. doi:10.1215/s0012-7094-39-00534-x[4]
- com J. D. Tamarkin: The problem of moments. Col: Mathematical Surveys, vol. 1. New York: AMS. 1943. OCLC 622772715[5]
- «On van der Pol's and non-linear differential equations». J. Appl. Phys. 15 (7): 568–574. 1944. doi:10.1063/1.1707470[6]
Referências
- ↑ Kline, J. R. (3 de novembro de 1944). «Obituary: James Alexander Shohat». Science. 100 (2601): 397–398. doi:10.1126/science.100.2601.397
- ↑ Shohat, J. A. "On the asymptotic properties of a certain class of Tchebycheff polynomials." Arquivado em 1 de dezembro de 2017, no Wayback Machine. In Proc. Intern. Math. Congress Toronto, pp. 611–618. 1924.
- ↑ 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."
- ↑ 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
- ↑ 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]."
Ligações externas[editar | editar código-fonte]
- James Alexander Shohat (em inglês) no Mathematics Genealogy Project
