Title of article :
The multisection method for triple products and identities of
Rogers–Ramanujan type
Author/Authors :
Wenchang Chu ?، نويسنده , , Chenying Wang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Abstract :
By applying the bisection and trisection method to Jacobi’s triple product identity, we establish several identities factorizing sum
and difference of infinite products, which lead, in turn, to new and elementary proofs for twenty identities of Rogers–Ramanujan
type.
© 2007 Elsevier Inc. All rights reserved
Keywords :
The bisection and trisection series , Rogers–Ramanujan identities , The quintuple product identity , Jacobi’s triple product identity , Basic hypergeometric series
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
