Chu, Wenchang:
Duplicate inverse series relations and hypergeometric evaluations with $z=1/4$
Bollettino dell'Unione Matematica Italiana Serie 8 5-B (2002), fasc. n.3, p. 585-604, Unione Matematica Italiana (English)
pdf (298 Kb), djvu (187 Kb). | MR1934369 | Zbl 1097.33003
Sunto
Le relazioni inverse di Gould-Hsu (1973) sono state applicate sistematicamente alla ricerca di identità ipergeometriche. La loro versione duplicata è stabilita ed utilizzata per dimostrare numerose formule della $_{3}F_{2}[1/4]$-serie ipergeometrica. Le ulteriori valutazioni ipergeometriche sono ottenute per mezzo di relazioni ricorrenti.
Referenze Bibliografiche
[2]
W. CHU,
A reverse derivation for Gould-Hsu inversions and comments,
J. Dalian Univ. Tech.,
30:3 (
1990), 345-349. |
MR 1077160[3] W. CHU, On the multivariate generalizations of Gould-Hsu inversions and applications, in A Friendly Collection of Math. Papers: Proceedings on L. C. Hsu's 70th Birthday, Jilin Univ. Press (Changchun, 1990), 123-128.
[4]
W. CHU,
Symmetry on Pfaff-Saalschütz-Sheppard series,
Rivista di Matematica, No.
11 (
1992), 73-79; Zbl. 757:33003. |
Zbl 0757.33003[5]
W. CHU,
Inversion Techniques and Combinatorial Identities: Strange evaluations of hypergeometric series,
Pure Math. & Appl. [PuMA]
4:4 (
1993), 409-428; MR95j:05024 & Zbl. 815:05008. |
MR 95j:05024 |
Zbl 0815.05008[6]
W. CHU,
Inversion techniques and combinatorial identities,
Boll. Unione Mat. Italiana 7-B (
1993), 737-760. |
MR 1255645 |
Zbl 0816.33003[7]
W. CHU,
Binomial convolutions and hypergeometric identities,
Rend. Circolo Mat. Palermo (serie II)
XLIII (
1994), 333-360. |
MR 1344873 |
Zbl 0835.33002[8]
W. CHU,
Inversion Techniques and Combinatorial Identities: A quick introduction to hypergeometric evaluations,
Math. Appl.,
283 (
1994), 31-57; MR96a:33006 & Zbl. 830:05006. |
MR 96a:33006 |
Zbl 0830.05006[9]
W. CHU-
L. C. HSU,
Some new applications of Gould-Hsu inversions,
J. Combin. Informat. & Systems Science,
14:1 (
1990), 1-4; MR92c:05018 & Zbl. 717:11007. |
MR 92c:05018 |
Zbl 0717.11007[10]
I. GESSEL,
Finding identities with the WZ method,
J. Symbolic Computation,
20 (
1995), 537-566. |
MR 1395413 |
Zbl 0908.33004[11]
I. GESSEL-
D. STANTON,
Strange evaluations of hypergeometric series,
SIAM J. Math. Anal.,
13 (
1982), 295-308. |
MR 647127 |
Zbl 0486.33003[13]
W. KARLSSON,
Clausen's hypergeometric series with variable 1/4,
J. Math. Anal. & Appl.,
196 (
1995), 172-180. |
Zbl 0846.33010