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^[1][2]
• Nasrallah-Rahman 積分^[3]

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, ${\displaystyle q}$-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.