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The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 6, 1 - 7, 01.06.2011

References

  • Dickson, L. E. History of the Theory of Numbers, I (Chelsea Publishing Co., New York, 1966), p. 401.
  • Edson, M. and Yayenie, O. A new generalization of Fibonacci sequence and extended Binet’s formula, INTEGERS Electronic Journal of Combinatorial Number Theory 9, 639–654, 2009.
  • Horadam, A. F. Generating functions for powers of a certain generalized sequence of numbers, Duke Math J. 32, 437–446, 1965.
  • Howard, F. T. A Tribonacci identity, The Fibonacci Quarterly 39, 352–357, 2001.
  • Howard, F. T. The sum of the squares of two generalized Fibonacci numbers, The Fibonacci Quaterly 41, 80–84, 2003.
  • Lucas, E. Th´eorie des fonctions num´eriques simplement p´eriodiques, American Journal of Mathematics 1, 184–240, 1878.
  • Melham, R. S. and Shannon, A. G A generalization of the Catalan identity and some conse- quences, The Fibonacci Quarterly 33, 82–84, 1995.
  • Sahin, M. The generating function of a family of the sequences in terms of the continuant, Appl. Math. Comput. (2010), doi: 10.1016/j.amc.2010.12.011

The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 6, 1 - 7, 01.06.2011

References

  • Dickson, L. E. History of the Theory of Numbers, I (Chelsea Publishing Co., New York, 1966), p. 401.
  • Edson, M. and Yayenie, O. A new generalization of Fibonacci sequence and extended Binet’s formula, INTEGERS Electronic Journal of Combinatorial Number Theory 9, 639–654, 2009.
  • Horadam, A. F. Generating functions for powers of a certain generalized sequence of numbers, Duke Math J. 32, 437–446, 1965.
  • Howard, F. T. A Tribonacci identity, The Fibonacci Quarterly 39, 352–357, 2001.
  • Howard, F. T. The sum of the squares of two generalized Fibonacci numbers, The Fibonacci Quaterly 41, 80–84, 2003.
  • Lucas, E. Th´eorie des fonctions num´eriques simplement p´eriodiques, American Journal of Mathematics 1, 184–240, 1878.
  • Melham, R. S. and Shannon, A. G A generalization of the Catalan identity and some conse- quences, The Fibonacci Quarterly 33, 82–84, 1995.
  • Sahin, M. The generating function of a family of the sequences in terms of the continuant, Appl. Math. Comput. (2010), doi: 10.1016/j.amc.2010.12.011
There are 8 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Murat Sahin This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 6

Cite

APA Sahin, M. (2011). The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(6), 1-7.
AMA Sahin M. The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. June 2011;40(6):1-7.
Chicago Sahin, Murat. “The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 6 (June 2011): 1-7.
EndNote Sahin M (June 1, 2011) The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 6 1–7.
IEEE M. Sahin, “The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, pp. 1–7, 2011.
ISNAD Sahin, Murat. “The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/6 (June 2011), 1-7.
JAMA Sahin M. The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:1–7.
MLA Sahin, Murat. “The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, 2011, pp. 1-7.
Vancouver Sahin M. The Gelin-Cesaro Identity in Some Conditional Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(6):1-7.