본문 바로가기
KERD
논문KCI 등재

Fibonacci functional sequence generating functions

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

The purpose of this paper is to generalize some results of Horadam and to extend some identities due to Carlitz in the context of functional difference equations and their associated generating functions.

Abstract

The purpose of this paper is to generalize some results of Horadam and to extend some identities due to Carlitz in the context of functional difference equations and their associated generating functions.

참고문헌 (25)

  1. Shannon, A.G., "Functional difference equations", International Journal of Advances in Mathematics, 2017(5), pp.22~30 (2017)
  2. Horadam, A.F., "Basic properties of a certain generalized sequence of numbers", The Fibonacci Quarterly, 3(3), pp.161~176 (1965)[DOI]
  3. Horadam, A.F., "Special properties of the sequence {wn(a,b;p,q)}", The Fibonacci Quarterly, 5(5), pp.424~434 (1967)
  4. Horadam, A.F., "Generalizations of two theorems of K. Subba Rao", Bulletin of the Calcutta Mathematical Society, 58(1), pp.23~29 (1968)[DOI]
  5. Carlitz, L., "A functional-difference equation", Duke Mathematical Journal, 31(4), pp.667~690 (1964)[DOI]
  6. Elmore, Merritt, "Fibonacci functions", The Fibonacci Quarterly, 5(4), pp.371~382 (1967)[DOI]
  7. Carlitz, L., "Generating functions for powers of certain sequences of numbers", Duke Mathematical Journal, 29(4), pp.521~537 (1962)[DOI]
  8. Shannon, A.G., "A method of Carlitz applied to the kth power generating function for Fibonacci numbers", The Fibonacci Quarterly, 12(3), pp.293~299 (1974)
  9. Brillhart J., "Tables of Fibonacci and Lucas factorizations", Mathematics of Computation, 50(181), pp.251~260 (1988)
  10. Shannon, A.G., "Applications of Fibonacci Numbers. Volume 6", pp.431~441 (1996), Kluwer
  11. Lather, Sushma, "Stability of Fibonacci Functional Equations", Journal of Advances in Mathematics, 14(1), pp.7469~7474 (2018)[DOI]
  12. Parizi, N.N., "Hyers-Ulam stability of Fibonacci functional equations in modular functional spaces", Journal of Mathematics and Computer Science, 19(1), pp.1~6 (2014)[DOI]
  13. Hyers, D.H., "Stability of Functional Equations in Several Variables", pp.45~47 (1998), Birkhäuser
  14. Shannon, A. G., "Applications of Fibonacci Numbers, Volume 6", pp.431~441 (1996), Kluwer
  15. Horadam, A.F., "Generating functions for powers of a certain generalized sequence of numbers", Duke Mathematical Journal, 32(3), pp.437~446 (1965)[DOI]
  16. Shannon, A.G., "A generalized Pythagorean theorem", The Fibonacci Quarterly, 9(3), pp.307~312 (1971)[DOI]
  17. Carlitz, L., "Congruences for the solutions of certain difference equations of the second order", Duke Mathematical Journal, 21(6), pp.669~679 (1954)
  18. Larcombe, P.J., "Horadam sequences: a survey", Bulletin of the Institute of Combinatorics and its Applications, 67, pp.49~71 (2013)[DOI]
  19. Atanassov, Krassimir T., "Pulsated Fibonacci recurrences", The Fibonacci Quarterly, 52(5), pp.22~27 (2014)[DOI]
  20. Hung, W.T., "The use of a second-order recurrence relation in the diagnosis of breast cancer", The Fibonacci Quarterly, 32(3), pp.253~259 (1994)[DOI]
  21. Mangel, M., "Solution of a functional difference equation from behavioural theory", Journal of Mathematical Biology, 24(5), pp.557~567 (1986)[DOI]
  22. Mangel, M., "Erratum", Journal of Mathematical Biology, 25(2), pp.227~ (1987)[DOI]
  23. Pruitt, Kenny, "Modular class primes in the Sundaram sieve", International Journal of Mathematical Education in Science and Technology, 49(6), pp.944~947 (2018)
  24. Carlitz, L., "Some generalized Fibonacci identities", The Fibonacci Quarterly, 8(3), pp.249~254 (1970)[DOI]
  25. Horadam, A.F., "Complex Fibonacci numbers", American Mathematical Monthly, 70(3), pp.289~291 (1963)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (12건)