# Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series

Compositio Mathematica (1994)

- Volume: 91, Issue: 2, page 121-144
- ISSN: 0010-437X

## Access Full Article

top## How to cite

topChu, Wenchang. "Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series." Compositio Mathematica 91.2 (1994): 121-144. <http://eudml.org/doc/90285>.

@article{Chu1994,

author = {Chu, Wenchang},

journal = {Compositio Mathematica},

keywords = {basic hypergeometric series; Rogers-Ramanujan identities},

language = {eng},

number = {2},

pages = {121-144},

publisher = {Kluwer Academic Publishers},

title = {Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series},

url = {http://eudml.org/doc/90285},

volume = {91},

year = {1994},

}

TY - JOUR

AU - Chu, Wenchang

TI - Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series

JO - Compositio Mathematica

PY - 1994

PB - Kluwer Academic Publishers

VL - 91

IS - 2

SP - 121

EP - 144

LA - eng

KW - basic hypergeometric series; Rogers-Ramanujan identities

UR - http://eudml.org/doc/90285

ER -

## References

top- [1] G.E. Andrews, Applications of basic hypergeometric functions, SIAM Rev.16 (1974), 441-484. Zbl0299.33004MR352557
- [2] G.E. Andrews, On q-analogues of the Watson and Whipple Summations, SIAM J. Math. Anal.7:3 (1976), 332-336. Zbl0339.33007MR399529
- [3] G.E. Andrews, Connection coefficient problems and partitions, Proc. Symposia in Pure Math.34 (1979), 1-24. Zbl0403.33002MR525316
- [4] W.N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, London, 1935. Zbl0011.02303JFM61.0406.01
- [5] L. Carlitz, Some inverse relations, Duke Math. J.40 (1973), 893-901. Zbl0276.05012MR337651
- [6] W.C. Chu, Inversion techniques and combinatorial identities: a quick introduction to the basic closed formulae for ordinary hypergeometric series, Preprint, 1990. MR1255645
- [7] W.C. Chu, Inversion techniques and combinatorial identities: Strange evaluations of hypergeometric series, Preprint, 1990. Zbl0815.05008MR1255645
- [8] W.C. Chu and L.C. Hsu, Some new applications of Gould-Hsu inversions, J. of Combin., Informat. and Systems Science, 14:1 (1990), 1-4. Zbl0717.11007MR1068649
- [9] G. Gasper and M. Rahman, Basic Hypergeometric Series, Vol. 35 in Encyclopedia of Mathematics and its Application (Ed. G. C. Rota); Cambridge University Press, Cambridge, 1990. Zbl0695.33001MR1052153
- [10] Ira Gessel and D. Stanton, Strange evaluations of hypergeometric series, SIAM J. Math. Anal.13 (1982), 295-308. Zbl0486.33003MR647127
- [11] Ira Gessel and D. Stanton, Applications of q-Lagrange inversion to basic hypergeometric series, Trans. Amer. Math. Soc.277:1 (1983), 173-201. Zbl0513.33001MR690047
- [12] H.W. Gould and L.C. Hsu, Some new inverse series relations, Duke Math. J.40 (1973), 885-891. Zbl0281.05008MR337652
- [13] V.K. Jain, Some transformations of basic hypergeometric series, SIAM J. Math. Anal.12 (1981), 957-961. Zbl0469.33003MR657138
- [14] L.J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, Cambridge, 1966. Zbl0135.28101MR201688
- [15] A. Verma and V.K. Jain, Some summation formulae for non-terminating basic hypergeometric series, SIAM J. Math. Anal.16:3 (1985), 647-655. Zbl0571.33001MR783988

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.