A WZ proof of a “curious” identity.
Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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Displaying similar documents to “Summation identities for representation of certain real numbers.”
A WZ proof of a “curious” identity.
Gelin-Cesáro identities for Fibonacci and Lucas quaternions
Ahmet Daşdemir (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.
On finite summation, recurrence relations and identities of H-functions
P. Anandani (1969)
Annales Polonici Mathematici
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On certain combinatorial identities
Robert Bartoszyński (1974)
Colloquium Mathematicae
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Pfaff's method. III: Comparison with the WZ method.
Andrews, George E. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type.
Paule, Peter (1994)
The Electronic Journal of Combinatorics [electronic only]
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Automated proofs for some Stirling number identities.
Kauers, Manuel, Schneider, Carsten (2008)
The Electronic Journal of Combinatorics [electronic only]
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On binomial sums for the general second order linear recurrence.
Kiliç, Emrah, Tan, Elif (2010)
Integers
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Human proofs of identities by Osburn and Schneider.
Prodinger, Helmut (2008)
Integers
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On Balancing and Lucas-balancing Quaternions
Bijan Kumar Patel, Prasanta Kumar Ray (2021)
Communications in Mathematics
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The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet's formulas, summation formulas, Catalan's identity, etc. concerning these quaternions are also established.
An invariant sum related to record statistics.
Lengyel, Tamás (2007)
Integers
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In praise of an elementary identity of Euler.
Bhatnagar, Gaurav (2011)
The Electronic Journal of Combinatorics [electronic only]
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Generalization of an identity involving the generalized Fibonacci numbers and its applications.
Mohammad Farrokhi, D.G. (2009)
Integers
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Some identities for factorials and binomial coefficients
V. Mandekić-Botteri (1986)
Matematički Vesnik
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