リチャード・アスキー

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。 アスキースキーム アスキー＝ギャスパー不等式 en:Askey–Wilson polynomials Rogers-Askey-Ismail 多項式 Askey-Wilson 積分 Andrews-Askey 積分 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. 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. 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. ^ Koekoek, R., & Swarttouw, R. F. (1996). The Askey-scheme of hypergeometric orthogonal polynomials and its q {\displaystyle q} -analogue. arXiv preprint math/9602214. ^ 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. ^ 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. ^ Ito, M. (2006). Askey–Wilson type integrals associated with root systems. The Ramanujan Journal, 12(1), 131-151. ^ 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. ^ 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. ^ 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. ワリード・アルサラム ジョージ・アンドリューズ ジョージ・ギャスパー ムーラッド・イスマイル ミザン・ラーマン 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 表示 編集