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4 Basic Analogues of the Various Summation Theorems
5 The Numerical Evaluation of Hypergeometric Functions
Chapter 3TRANSFORMATIONS AND IDENTITIES
6 other sections not shown
Andrews Andrews,G.E. application base q basic analogue basic differentiation basic exponential function basic hypergeometric functions basic hypergeometric series basic integral Bessel function bilateral binomial theorem combinatorial consider constant convergent corresponding cos(q;x deduced defined denotes difference equation differential equation discussed Durfee square Euler's example expansion exponential function expression Exton factorisation finite follows formula functional equation gamma function Gauss generalised given gives Heine's series Hence Identities associated indicial equation infinite product integer involving Jackson Jackson's theorem Jacobi l-q l-q left-hand member Legendre polynomials Lemma linear mathematics modulus nearly-poised number of partitions number theory obtain operator ordinary analysis parameters positive integer Proa proof properties q-analogue q-derivatives q-difference q-integral Ramanujan re-arranged recurrence relation respectively result right-hand member Rogers-Ramanujan Identities series representation Similarly Slater summation theorem term by term theta functions transformation unity values variable vectors well-poised written zero