Summation identities for representation of certain real numbers.
Grossman, George, Tefera, Akalu, Zeleke, Aklilu (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On finite summation, recurrence relations and identities of H-functions”
Summation identities for representation of certain real numbers.
A WZ proof of a “curious” identity.
Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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On certain combinatorial identities
Robert Bartoszyński (1974)
Colloquium Mathematicae
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Remark to the summation-formulas of the Lubbock's type
Ferdinand Šamonil (1933)
Aktuárské vědy
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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.
Automated proofs for some Stirling number identities.
Kauers, Manuel, Schneider, Carsten (2008)
The Electronic Journal of Combinatorics [electronic only]
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A Note on the Recurrence Theorem
Filipczak, Tomasz (2015-12-07T12:09:00Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Some identities for factorials and binomial coefficients
V. Mandekić-Botteri (1986)
Matematički Vesnik
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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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Inversion techniques and combinatorial identities. Jackson’s -analogue of the Dougall-Dixon theorem and the dual formulae
Wenchang Chu (1995)
Compositio Mathematica
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New identities for the Rogers-Ramanujan functions
Bruce C. Berndt, Hamza Yesilyurt (2005)
Acta Arithmetica
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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.
Four-term recurrence relations for hypergeometric functions of the second order. I.
Harold Exton (1996)
Collectanea Mathematica
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Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.