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.

UR - http://www.scopus.com/inward/record.url?scp=84859482773&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859482773&partnerID=8YFLogxK

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 -