TY - CHAP
T1 - Summable sums of hypergeometric series
AU - Stanton, D.
PY - 2005
Y1 - 2005
N2 - New expansions for certain 2Fl's as a sum of r higher order hypergeometric series are given. When specialized to the binomial theorem, these r hypergeometric series sum. The results represent cubic and higher order transformations, and only Vandermonde's theorem is necessary for the elementary proof. Some q-analogues are also given.
AB - New expansions for certain 2Fl's as a sum of r higher order hypergeometric series are given. When specialized to the binomial theorem, these r hypergeometric series sum. The results represent cubic and higher order transformations, and only Vandermonde's theorem is necessary for the elementary proof. Some q-analogues are also given.
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U2 - 10.1007/0-387-24233-3_18
DO - 10.1007/0-387-24233-3_18
M3 - Chapter
AN - SCOPUS:84859482773
SN - 0387242317
SN - 9780387242316
T3 - Developments in Mathematics
SP - 402
EP - 410
BT - THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS
PB - Springer New York LLC
ER -