A GENERALIZED FIBONACCI SEQUENCE AND THE DIOPHANTINE EQUATIONS X2±KXY-Y2±X=0

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BAHRAMIAN MOJTABA; DAGHIGH HASSAN

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Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2013 | Volume:8 | Issue:2 Page(s): 111-121

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Title

A GENERALIZED FIBONACCI SEQUENCE AND THE DIOPHANTINE EQUATIONS X2±KXY-Y2±X=0

Author(s)

BAHRAMIAN MOJTABA | DAGHIGH HASSAN | Issue Writer Certificate

Keywords

DIOPHANTINE EQUATION

GENERALIZED FIBONACCI SEQUENCE

PELL EQUATION

Abstract

In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the DIOPHANTINE EQUATIONs x2±kxy-y2±x=0, where k is a positive integer, and describe the structure of solutions.

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APA: Copy

BAHRAMIAN, MOJTABA, & DAGHIGH, HASSAN. (2013). A GENERALIZED FIBONACCI SEQUENCE AND THE DIOPHANTINE EQUATIONS X²±KXY-Y²±X=0. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 8(2), 111-121. SID. https://sid.ir/paper/310365/en

Vancouver: Copy

BAHRAMIAN MOJTABA, DAGHIGH HASSAN. A GENERALIZED FIBONACCI SEQUENCE AND THE DIOPHANTINE EQUATIONS X²±KXY-Y²±X=0. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2013;8(2):111-121. Available from: https://sid.ir/paper/310365/en

IEEE: Copy

MOJTABA BAHRAMIAN, and HASSAN DAGHIGH, “A GENERALIZED FIBONACCI SEQUENCE AND THE DIOPHANTINE EQUATIONS X²±KXY-Y²±X=0,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 8, no. 2, pp. 111–121, 2013, [Online]. Available: https://sid.ir/paper/310365/en

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