ルーシー・ジョアン・スレーター

ルーシー・ジョアン・スレーター（Lucy Joan Slater、1922年 1月5日 - 2008年 6月6日）は、イギリスの数学者。専門は特殊関数。

主な業績

このほかにも様々な恒等式を発見している^[6]^[7]。

Slater, L. J. (1951). A new proof of Rogers's transformations of infinite series. Proceedings of the London Mathematical Society, 2(1), 460-475.
Slater, L. J. (1952). "Further Identities of the Rogers‐Ramanujan Type". Proceedings of the London Mathematical Society. 2 (1): 147–167.
Slater, L. J. (1955). "Integrals for asymptotic expansions of hypergeometric functions". Proc. Amer. Math. Soc. 6 (2): 226–231.
Slater, L. J., & Lakin, A. (1956). Two proofs of the $_{6}\psi _{6}$ summation theorem. Proceedings of the Edinburgh Mathematical Society, 9(3), 116-121.

Slater, Lucy Joan (1960), Confluent hypergeometric functions, Cambridge, UK: en:Cambridge University Press, MR 0107026
Slater, Lucy Joan (1966), Generalized hypergeometric functions, Cambridge, UK: en:Cambridge University Press, ISBN 978-0-521-06483-5, MR 0201688

^ Weisstein, Eric W. "Jackson-Slater Identity." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Jackson-SlaterIdentity.html
^ Mc Laughlin, J., Sills, A. V., & Zimmer, P. (2008). Rogers-Ramanujan-Slater Type Identities. the electronic journal of combinatorics, 1000, 15-31.
^ Sills, A. V. (2007). Identities of the Rogers–Ramanujan–Slater type. International Journal of Number Theory, 3(02), 293-323.
^ McLaughlin, J., & Sills, A. V. (2008). Ramanujan–Slater type identities related to the moduli 18 and 24. en:Journal of Mathematical Analysis and Applications, 344(2), 765-777.
^ McLaughlin, J., & Sills, A. V. (2008). Combinatorics of Ramanujan-Slater type identities. In Combinatorial Number Theory: Proceedings of the Integers Conference 2007' (p. 125).
^ Andrews, G. E., Knopfmacher, A., Paule, P., & Prodinger, H. (2001). $q$ -Engel series expansions and Slater's identities. Quaestiones Mathematicae, 24(3), 403-416.
^ Hikami, K., & Kirillov, A. (2006). Hypergeometric generating function of 𝐿-function, Slater’s identities, and quantum invariant. St. Petersburg Mathematical Journal, 17(1), 143-156.