Remark to the summation-formulas of the Lubbock's type
Ferdinand Šamonil (1933)
Aktuárské vědy
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Displaying similar documents to “Some general recurrence formulas”
Remark to the summation-formulas of the Lubbock's type
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Construction of a recurrence relation of the lowest order for coefficients of the Gegenbauer series
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A WZ proof of a “curious” identity.
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S. D. Bajpai (1973)
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The positivity problem for fourth order linear recurrence sequences is decidable
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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.
On the reduction formulas
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Four-term recurrence relations for hypergeometric functions of the second order. I.
Harold Exton (1996)
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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.
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Kauers, Manuel, Schneider, Carsten (2008)
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Wenchang Chu (1995)
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Binomials transformation formulae for scaled Fibonacci numbers
Edyta Hetmaniok, Bożena Piątek, Roman Wituła (2017)
Open Mathematics
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The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined by Wituła and Słota. The paper contains some original relations connecting the values of delta-Fibonacci numbers with the respective values of Chebyshev polynomials of the first and second kind.