Geodesic
Jackson’s $q$-Clausen formula and two almost-poised $_4\phi _3$-series
Wenchang Chu1
1 School of Mathematics and Statistics Zhoukou Normal University Zhoukou 466001, P.R. China Current address: Dipartimento di Matematica e Fisica “Ennio De Giorgi” Università del Salento, Lecce–Arnesano P.O. Box 193 73100 Lecce, Italy
Annales Polonici Mathematici, Tome 120 (2017) no. 3, pp. 209-215.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Two almost-poised $q$-hypergeometric $_4\phi _3$-summation formulae rediscovered by Andrews are discussed. One is equivalent to Jackson’s $q$-Clausen formula and the other is hidden among the almost–poised $_5\phi _4$-series identities. Three further examples are presented.
DOI : 10.4064/ap170808-4-11
Keywords: almost poised q hypergeometric phi summation formulae rediscovered andrews discussed equivalent jackson q clausen formula other hidden among almost poised phi series identities three further examples presented

Wenchang Chu 1

1 School of Mathematics and Statistics Zhoukou Normal University Zhoukou 466001, P.R. China Current address: Dipartimento di Matematica e Fisica “Ennio De Giorgi” Università del Salento, Lecce–Arnesano P.O. Box 193 73100 Lecce, Italy 
@article{10_4064_ap170808_4_11,
     author = {Wenchang Chu},
     title = {Jackson{\textquoteright}s $q${-Clausen} formula and two almost-poised $_4\phi _3$-series},
     journal = {Annales Polonici Mathematici},
     pages = {209--215},
     publisher = {mathdoc},
     volume = {120},
     number = {3},
     year = {2017},
     doi = {10.4064/ap170808-4-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap170808-4-11/}
}
TY  - JOUR
AU  - Wenchang Chu
TI  - Jackson’s $q$-Clausen formula and two almost-poised $_4\phi _3$-series
JO  - Annales Polonici Mathematici
PY  - 2017
SP  - 209
EP  - 215
VL  - 120
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap170808-4-11/
DO  - 10.4064/ap170808-4-11
LA  - en
ID  - 10_4064_ap170808_4_11
ER  - 
%0 Journal Article
%A Wenchang Chu
%T Jackson’s $q$-Clausen formula and two almost-poised $_4\phi _3$-series
%J Annales Polonici Mathematici
%D 2017
%P 209-215
%V 120
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap170808-4-11/
%R 10.4064/ap170808-4-11
%G en
%F 10_4064_ap170808_4_11
Wenchang Chu. Jackson’s $q$-Clausen formula and two almost-poised $_4\phi _3$-series. Annales Polonici Mathematici, Tome 120 (2017) no. 3, pp. 209-215. doi : 10.4064/ap170808-4-11. http://geodesic.mathdoc.fr/articles/10.4064/ap170808-4-11/

Cité par Sources :