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A recurrence relation generalizing those of Apéry

Published online by Cambridge University Press:  09 April 2009

Richard Askey  and
J. A. Wilson
Richard Askey
Affiliation:
Department of Mathematics University of Wisconsin-MadisonVan Vleck Hall Madison, Wisconsin 53706, U.S.A.
J. A. Wilson
Affiliation:
Department of Mathematics Iowa State University Ames, Iowa 50011, U.S.A.
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Abstract

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A three term recurrence relation is found for

when a + d = b + c. This includes the recurrence relations of Apéry associated with ζ(3), ζ(2) and log 2 as special or limiting cases.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 2 , April 1984 , pp. 267 - 278
Copyright
Copyright © Australian Mathematical Society 1984

References

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