A novel algorithm for nested summation and hypergeometric expansions
نویسندگان
چکیده
منابع مشابه
A Generalization of Gosper's Algorithm to Bibasic Hypergeometric Summation
An algebraically motivated generalization of Gosper’s algorithm to indefinite bibasic hypergeometric summation is presented. In particular, it is shown how Paule’s concept of greatest factorial factorization of polynomials can be extended to the bibasic case. It turns out that most of the bibasic hypergeometric summation identities from literature can be proved and even found this way. A Mathem...
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Given a summand a(n), we seek the "indefinite sum" S(n) determined (within an additive constant) by [Formula: see text] or, equivalently, by [Formula: see text] An algorithm is exhibited which, given a(n), finds those S(n) with the property [Formula: see text] With this algorithm, we can determine, for example, the three identities [Formula: see text] [Formula: see text] and [Formula: see text]...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2020
ISSN: 1029-8479
DOI: 10.1007/jhep11(2020)122