Remark to the summation-formulas of the Lubbock's type
Ferdinand Šamonil (1933)
Aktuárské vědy
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Ferdinand Šamonil (1933)
Aktuárské vědy
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P. Anandani (1969)
Annales Polonici Mathematici
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Filipczak, Tomasz (2015-12-07T12:09:00Z)
Acta Universitatis Lodziensis. Folia Mathematica
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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.
S. Lewanowicz (1976)
Applicationes Mathematicae
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P. Anandani (1969)
Annales Polonici Mathematici
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Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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S. D. Bajpai (1973)
Matematički Vesnik
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Pinthira Tangsupphathawat, Narong Punnim, Vichian Laohakosol (2012)
Colloquium Mathematicae
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The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.
G. Łubczonok (1976)
Annales Polonici Mathematici
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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.
Kauers, Manuel, Schneider, Carsten (2008)
The Electronic Journal of Combinatorics [electronic only]
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Lengyel, Tamás (2007)
Integers
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Wenchang Chu (1995)
Compositio Mathematica
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