Summation identities for representation of certain real numbers

George Grossman; Akalu Tefera; Aklilu Zeleke

doi:10.1155/IJMMS/2006/78739

Summation identities for representation of certain real numbers

George Grossman, Akalu Tefera, Aklilu Zeleke

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present identities used to represent real numbers of the form xu^m ± yvⁿ for appropriately chosen real numbers x, y, u, v and nonnegative integers m and n. We present the proofs of the identities by applying Zeilberger's algorithm.

Original language	English
Article number	78739
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2006
DOIs	https://doi.org/10.1155/IJMMS/2006/78739
State	Published - 2006

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title = "Summation identities for representation of certain real numbers",

abstract = "We present identities used to represent real numbers of the form xum ± yvn for appropriately chosen real numbers x, y, u, v and nonnegative integers m and n. We present the proofs of the identities by applying Zeilberger's algorithm.",

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AU - Tefera, Akalu

AU - Zeleke, Aklilu

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DO - 10.1155/IJMMS/2006/78739

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JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

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Summation identities for representation of certain real numbers

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