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。

リチャード・アスキー（1977年）

主な業績

• アスキースキーム^[1]
• 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^{[2][3][4][5][6]}
• Andrews-Askey 積分^[7]

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 ${\displaystyle _{6}\psi _{6}}$. 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 ${\displaystyle q}$-Extension. Journal of the London Mathematical Society, 2(1), 133-148.
• Askey, R., & Roy, R. (1986). More ${\displaystyle q}$-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 ${\displaystyle q}$-gamma and ${\displaystyle q}$-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 ${\displaystyle q}$-extension of Cauchy's form of the beta integral. The Quarterly Journal of Mathematics, 32(3), 255-266.
• Askey, R. (1986). Limits of some ${\displaystyle q}$-Laguerre polynomials. Journal of Approximation Theory, 46(3), 213-216.