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ミザン・ラーマン

出典: フリー百科事典『ウィキペディア(Wikipedia)』

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

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  • Rahman 多項式[1][2]
  • Nasrallah-Rahman 積分[3]

著書

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  • 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

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  • 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

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  • 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

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

関連項目

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