Titlebook: Hypergeometric Summation; An Algorithmic Appro Wolfram Koepf Textbook 2014Latest edition Springer-Verlag London 2014 Algorithmic Summation.

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Wolfram Koepf, Switzerland, on July 10-11, 2006. The manuscripts are organized around three thematic sections which cover several of the major aspects of our rapidly growing ?eld: anatomical modeling and tissue properties, simulation of biophysical processes, as well as systems and applications. The symposium pr

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https://doi.org/10.1007/978-1-4471-6464-7Algorithmic Summation; Antidifference; Basic Hypergeometric Series; Differential Equation; Fasenmyer Alg

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,Petkovšek’s and van Hoeij’s Algorithm,if the order of the resulting recurrence equation is one, or if the latter contains only two shifts . and . for some ., then one finds a hypergeometric term representation for the sum under consideration using . initial values. In this chapter we give algorithms which find all hypergeometric term solutions of a holonomic recurrence equation.

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Hypergeometric Summation978-1-4471-6464-7Series ISSN 0172-5939 Series E-ISSN 2191-6675

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The Gamma Function,Apart from the elementary transcendental functions such as the exponential and trigonometric functions and their inverses, the Gamma function is probably the most important transcendental function. It was defined by Euler to interpolate the factorials at noninteger arguments.

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Hypergeometric Identities,In this chapter we deal with hypergeometric identities.