@MISC{Delta_\delta\gamma, author = {Delta Gamma Delta and Peter Paule}, title = {\Delta\Gamma}, year = {} }

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Abstract

l function, for which a normal form is available. A function f satisfying this property is called a hypergeometric term. In a suitable algebraic extension, f(k) can be made explicit: f(k) = (a 1 ) k \Delta \Delta \Delta (a m ) k (b 1 ) k \Delta \Delta \Delta (b n ) k z k k! f(0); where (a) k = a(a + 1) \Delta \Delta \Delta (a + k \Gamma 1) denotes the rising factorial. The sum of f (when f(0) = 1) is usually called the hypergeometric series with the following notation mF n