Lucas and fibonacci numbers and some diophantine Equations [PDF]
, 1965 J. H. E. Cohn
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On Types of Distance Fibonacci Numbers Generated by Number Decompositions
Journal of Applied Mathematics, 2014 We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana +2 more
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Fibonacci and Lucas numbers, by Verner E. Hoggatt Jr. Houghton Mifflin Company, Boston, 1969. 92 pages. [PDF]
, 1969 Herbert London
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Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
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Popular Lectures in Mathematics—(i) The Method of Mathematical Induction by I. S. Sominskii, (ii) Fibonacci Numbers by N. N. Vorob'ev, (iii) Some Applications of Mechanics to Mathematics by v. A. Uspenskh, (iv) Geometrical Constructions Using Compasses Only by A. N. Kostovskii, (V) The Ruler in Geometrical Constructions by A. S. Smogorzhevskii, (vi) Inequalities by P. P. Korovkin (Pergamon Press, Oxford, 1961). [PDF]
, 1962 R. P. Gillespie
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On Gaussian Leonardo numbers [PDF]
Contributions to Mathematics, 2023 Dursun Taşcı
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Fibonacci Numbers in Coin Tossing Sequences [PDF]
, 1978 Mark Finkelstein, Robert Whitley
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On the Products of k-Fibonacci Numbers and k-Lucas Numbers
International Journal of Mathematics and Mathematical Sciences, 2014 In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh +2 more
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On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers
AxiomsIn this study, we investigate some new properties of the sequence of bi-periodic Fibonacci numbers with arbitrary initial conditions, through an approach that combines the matrix aspect and the fundamental Fibonacci system.
Mustapha Rachidi +2 more
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