ジョージ・ギャスパー
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2019/10/06 01:20 UTC 版)
ナビゲーションに移動 検索に移動代表的な論文
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 -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 -Racah polynomials. SIAM Journal on Mathematical Analysis, 15(4), 768-789.
- Gasper, G., & Rahman, M. (1986). Positivity of the Poisson kernel for the continuous -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 -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.
外部リンク
- ^ 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
- ^ a b 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
[前の解説]
「ジョージ・ギャスパー」の続きの解説一覧
- 1 ジョージ・ギャスパーとは
- 2 ジョージ・ギャスパーの概要
- ジョージ・ギャスパーのページへのリンク
