@article{CM_1994__91_2_121_0, author = {Chu, Wenchang}, title = {Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series}, journal = {Compositio Mathematica}, volume = {94}, year = {1994}, pages = {121-144}, zbl = {0807.33014}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1994__91_2_121_0} }
Chu, Wenchang. Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series. Compositio Mathematica, Tome 94 (1994) pp. 121-144. http://gdmltest.u-ga.fr/item/CM_1994__91_2_121_0/
[1] Applications of basic hypergeometric functions, SIAM Rev. 16 (1974), 441-484. | MR 352557 | Zbl 0299.33004
,[2] On q-analogues of the Watson and Whipple Summations, SIAM J. Math. Anal. 7:3 (1976), 332-336. | MR 399529 | Zbl 0339.33007
,[3] Connection coefficient problems and partitions, Proc. Symposia in Pure Math. 34 (1979), 1-24. | MR 525316 | Zbl 0403.33002
,[4] Generalized Hypergeometric Series, Cambridge University Press, London, 1935. | JFM 61.0406.01 | Zbl 0011.02303
,[5] Some inverse relations, Duke Math. J. 40 (1973), 893-901. | MR 337651 | Zbl 0276.05012
,[6] Inversion techniques and combinatorial identities: a quick introduction to the basic closed formulae for ordinary hypergeometric series, Preprint, 1990. | MR 1255645
,[7] Inversion techniques and combinatorial identities: Strange evaluations of hypergeometric series, Preprint, 1990. | MR 1255645 | Zbl 0815.05008
,[8] Some new applications of Gould-Hsu inversions, J. of Combin., Informat. and Systems Science, 14:1 (1990), 1-4. | MR 1068649 | Zbl 0717.11007
and ,[9] Basic Hypergeometric Series, Vol. 35 in Encyclopedia of Mathematics and its Application (Ed. G. C. Rota); Cambridge University Press, Cambridge, 1990. | MR 1052153 | Zbl 0695.33001
and ,[10] Strange evaluations of hypergeometric series, SIAM J. Math. Anal. 13 (1982), 295-308. | MR 647127 | Zbl 0486.33003
and ,[11] Applications of q-Lagrange inversion to basic hypergeometric series, Trans. Amer. Math. Soc. 277:1 (1983), 173-201. | MR 690047 | Zbl 0513.33001
and ,[12] Some new inverse series relations, Duke Math. J. 40 (1973), 885-891. | MR 337652 | Zbl 0281.05008
and ,[13] Some transformations of basic hypergeometric series, SIAM J. Math. Anal. 12 (1981), 957-961. | MR 657138 | Zbl 0469.33003
,[14] Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966. | MR 201688 | Zbl 0135.28101
,[15] Some summation formulae for non-terminating basic hypergeometric series, SIAM J. Math. Anal. 16:3 (1985), 647-655. | MR 783988 | Zbl 0571.33001
and ,