Geodesic
Rational functions certify combinatorial identities
Journal of the American Mathematical Society, Tome 03 (1990) no. 1, pp. 147-158 Cet article a éte moissonné depuis la source American Mathematical Society

Voir la notice de l'article

@article{10_1090_S0894_0347_1990_1007910_7,
     author = {Wilf, Herbert S. and Zeilberger, Doron},
     title = {Rational functions certify combinatorial identities},
     journal = {Journal of the American Mathematical Society},
     pages = {147--158},
     year = {1990},
     volume = {03},
     number = {1},
     doi = {10.1090/S0894-0347-1990-1007910-7},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1990-1007910-7/}
}
TY  - JOUR
AU  - Wilf, Herbert S.
AU  - Zeilberger, Doron
TI  - Rational functions certify combinatorial identities
JO  - Journal of the American Mathematical Society
PY  - 1990
SP  - 147
EP  - 158
VL  - 03
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1990-1007910-7/
DO  - 10.1090/S0894-0347-1990-1007910-7
ID  - 10_1090_S0894_0347_1990_1007910_7
ER  - 
%0 Journal Article
%A Wilf, Herbert S.
%A Zeilberger, Doron
%T Rational functions certify combinatorial identities
%J Journal of the American Mathematical Society
%D 1990
%P 147-158
%V 03
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1990-1007910-7/
%R 10.1090/S0894-0347-1990-1007910-7
%F 10_1090_S0894_0347_1990_1007910_7
Wilf, Herbert S.; Zeilberger, Doron. Rational functions certify combinatorial identities. Journal of the American Mathematical Society, Tome 03 (1990) no. 1, pp. 147-158. doi: 10.1090/S0894-0347-1990-1007910-7

[1] Andrews, George E. Applications of basic hypergeometric functions SIAM Rev. 1974 441 484

[2] Bailey, W. N. Generalized hypergeometric series 1964

[3] Björk, J.-E. Rings of differential operators 1979

[4] Ekhad, Shalosh B. A very short proof of Dixon’s theorem J. Combin. Theory Ser. A 1990 141 142

[5] Ekhad, Shalosh B. Short proofs of two hypergeometric summation formulas of Karlsson Proc. Amer. Math. Soc. 1989 1143 1144

[6] Gessel, Ira, Stanton, Dennis Strange evaluations of hypergeometric series SIAM J. Math. Anal. 1982 295 308

[7] Gessel, Ira, Stanton, Dennis Applications of 𝑞-Lagrange inversion to basic hypergeometric series Trans. Amer. Math. Soc. 1983 173 201

[8] Gosper, R. William, Jr. Decision procedure for indefinite hypergeometric summation Proc. Nat. Acad. Sci. U.S.A. 1978 40 42

[9] Gould, Henry W. Combinatorial identities 1972

[10] Graham, Ronald L., Knuth, Donald E., Patashnik, Oren Concrete mathematics 1994

[11] Zeilberger, Doron A holonomic systems approach to special functions identities J. Comput. Appl. Math. 1990 321 368

Cité par Sources :