Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type
Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 1
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Using $q$-series identities and series rearrangement, we establish several extensions of $q$-Watson formulas with two extra integer parameters. Then they and Sears' transformation formula are utilized to derive some generalizations of $q$-Dixon formulas and $q$-Whipple formulas with two extra integer parameters. As special cases of these results, many interesting evaluations of series of $q$-Watson,$q$-Dixon, and $q$-Whipple type are displayed.
@article{DMTCS_2017_19_1_a18,
author = {Wei, Chuanan and Wang, Xiaoxia},
title = {Evaluations of series of the $q${-Watson,} $q${-Dixon,} and $q${-Whipple} type},
journal = {Discrete mathematics & theoretical computer science},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2017-2018},
doi = {10.23638/DMTCS-19-1-19},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-1-19/}
}
TY - JOUR AU - Wei, Chuanan AU - Wang, Xiaoxia TI - Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type JO - Discrete mathematics & theoretical computer science PY - 2017-2018 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-1-19/ DO - 10.23638/DMTCS-19-1-19 LA - en ID - DMTCS_2017_19_1_a18 ER -
%0 Journal Article %A Wei, Chuanan %A Wang, Xiaoxia %T Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type %J Discrete mathematics & theoretical computer science %D 2017-2018 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-1-19/ %R 10.23638/DMTCS-19-1-19 %G en %F DMTCS_2017_19_1_a18
Wei, Chuanan; Wang, Xiaoxia. Evaluations of series of the $q$-Watson, $q$-Dixon, and $q$-Whipple type. Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 1. doi: 10.23638/DMTCS-19-1-19
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