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We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.
Alexander E. Patkowski. "On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms." Colloquium Mathematicae 122.2 (2011): 265-273. <http://eudml.org/doc/284378>.
@article{AlexanderE2011, abstract = {We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.}, author = {Alexander E. Patkowski}, journal = {Colloquium Mathematicae}, keywords = {-series; Bailey pairs}, language = {eng}, number = {2}, pages = {265-273}, title = {On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms}, url = {http://eudml.org/doc/284378}, volume = {122}, year = {2011}, }
TY - JOUR AU - Alexander E. Patkowski TI - On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms JO - Colloquium Mathematicae PY - 2011 VL - 122 IS - 2 SP - 265 EP - 273 AB - We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established. LA - eng KW - -series; Bailey pairs UR - http://eudml.org/doc/284378 ER -