リチャード・アスキー

リチャード・アスキー（1977年）

リチャード・アスキー (Richard Askey、1933年6月4日 - 2019年10月9日) は、アメリカ合衆国の数学者。専門は、特殊関数・直交多項式。

主な業績

著書

  • Richard Askey, Orthogonal polynomials and special functions, SIAM, 1975.
  • Askey, R., & Ismail, M. (1984). Recurrence relations, continued fractions and orthogonal polynomials. American Mathematical Society.
  • Askey, R., & Wilson, J. A. (1985). Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. American Mathematical Society.
  • George E. Andrews, Richard Askey, and Ranjan Roy, Special functions, Encyclopedia of Mathematics and Its Applications, en:Cambridge University Press, 1999.

代表的な論文

共著

  • Askey, R., & Gasper, G. (1977). Convolution structures for Laguerre polynomials. Journal d'Analyse Mathématique, 31(1), 48-68.
  • Askey, R., & Wilson, J. (1979). A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols. SIAM Journal on Mathematical Analysis, 10(5), 1008-1016.
  • Askey, R., & Ismail, M. E. (1979). The Very Well Poised 6 ψ 6 {\displaystyle _{6}\psi _{6}} . Proceedings of the American Mathematical Society, 218-222.
  • Askey, R., & Wilson, J. (1982). A set of hypergeometric orthogonal polynomials. SIAM Journal on Mathematical Analysis, 13(4), 651-655.
  • Askey, R., Koornwinder, T. H., & Rahman, M. (1986). An Integral of Products of Ultraspherical Functions and a q {\displaystyle q} -Extension. Journal of the London Mathematical Society, 2(1), 133-148.
  • Askey, R., & Roy, R. (1986). More q {\displaystyle q} -beta integrals. The Rocky Mountain Journal of Mathematics, 365-372.
  • Askey, R. A., Rahman, M., & Suslov, S. (1996). On a general q-Fourier transformation with nonsymmetric kernels. en:Journal of Computational and Applied Mathematics, 68(1-2), 25-55.

単著

  • Askey, R. (1978). The q {\displaystyle q} -gamma and q {\displaystyle q} -beta functions. Applicable Analysis, 8(2), 125-141.
  • Askey, R. (1980). Ramanujan's extensions of the gamma and beta functions. The American Mathematical Monthly, 87(5), 346-359.
  • Askey, R. (1981). A q {\displaystyle q} -extension of Cauchy's form of the beta integral. The Quarterly Journal of Mathematics, 32(3), 255-266.
  • Askey, R. (1986). Limits of some q {\displaystyle q} -Laguerre polynomials. Journal of Approximation Theory, 46(3), 213-216.

出典

  1. ^ Koekoek, R., & Swarttouw, R. F. (1996). The Askey-scheme of hypergeometric orthogonal polynomials and its q {\displaystyle q} -analogue. arXiv preprint math/9602214.
  2. ^ Ismail, M. E., Stanton, D., & Viennot, G. (1987). The combinatorics of q {\displaystyle q} -Hermite polynomials and the Askey—Wilson integral. European Journal of Combinatorics, 8(4), 379-392.
  3. ^ Gustafson, R. A. (1994). Some q-Beta Integrals on SU(n) and Sp(n) That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals. SIAM Journal on Mathematical Analysis, 25(2), 441-449.
  4. ^ Ito, M. (2006). Askey–Wilson type integrals associated with root systems. The Ramanujan Journal, 12(1), 131-151.
  5. ^ Cao, J., & Niu, D. W. (2017). q {\displaystyle q} -difference equations for Askey–Wilson type integrals via q {\displaystyle q} -polynomials. Journal of Mathematical Analysis and Applications, 452(2), 830-845.
  6. ^ Wei, C., Wang, X., & Yan, Q. (2015). Generalizations of Ramanujan’s reciprocity formula and the Askey–Wilson integral. The Ramanujan Journal, 37(1), 203-217.
  7. ^ Liu, Z. G. (2016). Extensions of Ramanujan's reciprocity theorem and the Andrews–Askey integral. Journal of Mathematical Analysis and Applications, 443(2), 1110-1129.

主な共著者

外部リンク

  • Photo gallery on the occasion of Dick Askey's 80th.
  • リチャード・アスキー - Mathematics Genealogy Project
  • リチャード・アスキーの出版物 - ResearchGate
  • Richard Askey - DBLP Bibliography Server
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