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Generalized Fibonacci-Feinberg sequences
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This paper considers some properties of types of recurrence relations which generalize the well-known Fibonacci, Pell and Feinberg sequences. Some of the properties are analogous to those of some of the special functions.
Abstract
This paper considers some properties of types of recurrence relations which generalize the well-known Fibonacci, Pell and Feinberg sequences. Some of the properties are analogous to those of some of the special functions.
참고문헌 (11)
- ark. Feinberg, "New Slants", The Fibonacci Quarterly, 2, pp.223~227
- Clark Kimberling, "Complementary Equations and Zeckendorf Arrays", 13 International Conference th on Fibonacci Numbers and Their Applications (2008)
- P.H. Leslie, "On the Use of Matrices in Certain Population Mathematics", Biometrika, 33, pp.183~212 (1945)
- D.A. Lind, "On a Class of Nonlinear Binomial Sums", The Fibonacci quarterly, 3(4), pp.292~298 (1965)
- A.G. Shannon, "Some Lacunary Recurrence Relations", The Fibonacci Quarterly, 18, pp.73~79 (1980)
- A.G. Shannon, "Properties of Cordonnier, Perrin and Van der Laan Numbers", International Journal of Mathematical Education in Science and Technology, 37, pp.825~831 (2006)
- A.G. Shannon, "Some Properties of Generalized Third Order Pell Numbers", 13th International Conference on Fibonacci Numbers and Their Applications (2008)
- N.J.A.Sloane, "The Encyclopedia of Integer Sequences" (1995), Academic Press
- J. Shohat, "The relation of the Classical Orthogonal Polynomials to the Polynomials of Appell", American Journal of Mathematics, 58, pp.453~464 (1936)
- I. Stewart, "Tales of a Neglected Number", Scientiffic American, 18, pp.73~79 (1980)
관련 논문AI추천
Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial SequencesAlexandre Laugier, Manjil P. Saikia경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제1호Fibonacci functional sequence generating functionsA. G. Shannon장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제3호Some properties of the generalized Fibonacci sequence $\{q_n\}$ by matrix methods전상표, 최광호강원경기수학회 · 한국수학논문집2016 · 제24권 제4호New Approach to Pell and Pell-Lucas SequencesTulay Yagmur경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호On the sequences related to Fibonacci and Lucas numbersNihal Yilmaz Ä, OzgÄ, ur대한수학회 · 대한수학회지2005 · 제42권 제1호The Sequences of Horadam, Williams and Philippou as Generalized Lucas SequencesA. G. Shannon장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호
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