ミザン・ラーマン

ミザン・ラーマン（Mizan Rahman、1932年9月16日 - 2015年1月5日）は、バングラデシュの数学者。専門は特殊関数。ダッカ出身。

主な業績
 Rahman 多項式Iliev, P., & Terwilliger, P. (2012). The Rahman polynomials and the Lie algebra 𝔰𝔩₃ (ℂ). Transactions of the American Mathematical Society, 364(8), 4225-4238.Grünbaum, F. A. (2007). The Rahman polynomials are bispectral. Symmetry, Integrability and Geometry: Methods and Applications.
 Nasrallah-Rahman 積分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.

著書
 George Gasper and Mizan Rahman, Basic Hypergeometric Series, 1st edition, 1990; 2nd edition, 2004, Encyclopedia of Mathematics and Its Applications, 96, :en:Cambridge University Press. ISBN 978-0-521-83357-8.
 Special Functions, -Series and Related Topics, Fields Institute Communications, volume 14, American Mathematical Society, Providence, 1997.

代表的な論文
 Rahman, M. (1987). An integral representation and some transformation properties of q-Bessel functions. :en:Journal of Mathematical Analysis and Applications, 125(1), 58-71.
 Rahman, M. (1991). Biorthogonality of a System of Rational Functions with Respect to a Positive Measure on -1,1. SIAM journal on mathematical analysis, 22(5), 1430-1441.
 Rahman, M. (1993). Some quadratic and cubic summation formulas for basic hypergeometric series. Canadian journal of mathematics, 45(2), 394-411.
 Rahman, M., & Suslov, S. K. (1993). Classical biorthogonal rational functions. In Methods of approximation theory in complex analysis and mathematical physics (pp. 131-146). Springer, Berlin, Heidelberg.
 Rahman, M., & Verma, A. (1993). Quadratic transformation formulas for basic hypergeometric series. :en:Transactions of the American Mathematical Society, 335(1), 277-302.

関連文献
 R. Askey, M.E.H. Ismail and E. Koelink, Mizan Rahman, His Mathematics And Literary Writings, pp. 1–28 in Theory and Applications of Special Functions, Dev. Math. 13, Springer-Verlag, 2005.

出典

関連項目
 ジョージ・ギャスパー

Category:特殊関数
320916
Category:バングラデシュの学者
Category:ダッカ出身の人物
Category:数学に関する記事
Category:1932年生
Category:2015年没