ジョージ・ギャスパーのソースを表示

'''ジョージ・ギャスパー'''（George Gasper、[[1939年]][[10月10日]]<ref>[https://prabook.com/web/george.gasper/3548834 Prabook]</ref> - ）は[[ノースウェスタン大学]]の数学者で、専門は[[特殊関数]]（特に[[直交多項式]]とq-特殊関数）である。[[アスキー＝ギャスパー不等式]] ([[リチャード・アスキー]]との共同研究)<ref>Askey, Richard; Gasper, George (1976), "Positive Jacobi polynomial sums. II", American Journal of Mathematics, 98 (3): 709–737, doi:10.2307/2373813, ISSN 0002-9327, JSTOR 2373813, MR 0430358</ref>とその一般化<ref name ="GR">Gasper, George; Rahman, Mizan (2004), Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, 96 (2nd ed.), Cambridge University Press, doi:10.2277/0521833574, ISBN 978-0-521-83357-8, MR 2128719</ref>を発見したことで知られている。[[ミザン・ラーマン]]と共著でq-特殊関数の教科書を執筆したことでも知られている<ref name="GR"/>。

==代表的な論文==
===単著===
* Gasper, G. (1971). Positivity and the convolution structure for Jacobi series. [[Annals of Mathematics]], 112-118.
* Gasper, G. (1972). Banach algebras for Jacobi series and positivity of a kernel. [[Annals of Mathematics]], 261-280.
* Gasper, G. (1973). Nonnegativity of a discrete Poisson kernel for the Hahn polynomials. Journal of Mathematical Analysis and Applications, 42(2), 438-451.
* Gasper, G. (1974). Projection formulas for orthogonal polynomials of a discrete variable. Journal of Mathematical Analysis and Applications, 45(1), 176-198.
* Gasper, G. (1977). Positive sums of the classical orthogonal polynomials. SIAM Journal on Mathematical Analysis, 8(3), 423-447.
* Gasper, G. (1985). Rogers’ linearization formula for the continuous <math>q</math>-ultraspherical polynomials and quadratic transformation formulas. SIAM Journal on Mathematical Analysis, 16(5), 1061-1071.
* Gasper, G. (1989). Summation, transformation, and expansion formulas for bibasic series. [[:en:Transactions of the American Mathematical Society]], 312(1), 257-277.
===共著===
* Gasper, G., & Rahman, M. (1984). Product formulas of Watson, Bailey and Bateman types and positivity of the Poisson kernel for <math>q</math>-Racah polynomials. SIAM Journal on Mathematical Analysis, 15(4), 768-789.
* Gasper, G., & Rahman, M. (1986). Positivity of the Poisson kernel for the continuous <math>q</math>-Jacobi polynomials and some quadratic transformation formulas for basic hypergeometric series. SIAM Journal on Mathematical Analysis, 17(4), 970-999.
* Gasper, G., & Rahman, M. (1989). A nonterminating <math>q</math>-Clausen formula and some related product formulas. SIAM Journal on Mathematical Analysis, 20(5), 1270-1282.
* Gasper, G., & Rahman, M. (1990). An indefinite bibasic summation formula and some quadratic, cubic and quartic summation and transformation formulas. Canadian Journal of Mathematics, 42(1), 1-27.

==出典==
{{reflist}}

==外部リンク==
*[http://www.math.northwestern.edu/~george/ George Gasper's Home Page]
*{{MathGenealogy|id=8324}}

{{Normdaten}}
{{デフォルトソート:きやはあ しよおし}}
[[Category:特殊関数]]
[[Category:アメリカ合衆国の数学者]]
[[Category:20世紀の数学者|391010]]
[[Category:数学に関する記事]]
[[Category:1939年生]]
[[Category:存命人物]]