Some transformations of basic hypergeometric series and their applications
Some transformations of basic hypergeometric series and their applications
Using Bailey’s transformation, relations between basic and basic bilateral hypergeometric series are obtained. Some interesting special cases, like identities of Rogers-Ramanujan type, summation theorems for particular basic bilateral hypergeometric series <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="Subscript 2 Baseline psi 2"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi /> <mml:mn>2</mml:mn> </mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>ψ<!-- …