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Partial fractions and bilateral summations (1994)

Chu, Wenchang

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 35 (1994), S. 2036-2042

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: Bilateral extensions of the hypergeometric formulas due to Minton (1970), Karlsson (1971), and Gasper (1981) are established through the decomposition of products of gamma functions into partial fractions. Some exceptional cases are demonstrated and a hypergeometric transformation from a bilateral series to a unilateral series is shown to contain Dougall's summation formula for 2H2 as its special case.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530536

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