Resultant-Free Computation of Indefinite Hyperexponential Integrals

Xiaoli Wu ()
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Xiaoli Wu: Hangzhou Dianzi University, The School of Science

A chapter in Computer Mathematics, 2014, pp 427-435 from Springer

Abstract: Abstract In this note, we describe a special structure of differential Gosper forms of rational functions, which allows us to design a new and simple algorithm for constructing differential Gosper forms without the resultant computation and integer-root finding. Moreover, we present an algorithm for computing a universal denominator of the first-order linear differential equation which the Almkvist–Zeilberger algorithm solves.

Keywords: Universal Denominator; First-order Linear Differential Equation; Finding Rational Solutions; Find Polynomial Solutions; Hyperexponential Function (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-43799-5_28

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DOI: 10.1007/978-3-662-43799-5_28

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