CONICS CHARACTERIZING THE GENERALIZED FIBONACCI AND LUCAS SEQUENCES WITH INDICES IN ARITHMETIC PROGRESSIONS

EMRAH KILIC; NESE OMUR

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CONICS CHARACTERIZING THE GENERALIZED FIBONACCI AND LUCAS SEQUENCES WITH INDICES IN ARITHMETIC PROGRESSIONS

机译：算术进展中带有指数的圆锥曲线表征广义斐波那契和卢卡斯序列

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In this paper, we determine the conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions, generalizing work of Melham and McDaniel.

机译：在本文中，我们确定了用算术级数索引来表征广义斐波那契和卢卡斯序列的圆锥曲线，从而对Melham和McDaniel的广义工作进行了归纳。

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《Ars Combinatoria: An Australian-Canadian Journal of Combinatorics》 |2010年第null期|共6页
作者
EMRAH KILIC; NESE OMUR;
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正文语种 eng
中图分类组合数学（组合学）;
关键词
Binary recurrences; Conic; Diophantine representation;

机译：二元递归;顺反;丢巴汀表示;

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专利

1. CONICS CHARACTERIZING THE GENERALIZED FIBONACCI AND LUCAS SEQUENCES WITH INDICES IN ARITHMETIC PROGRESSIONS [J] . EMRAH KILIC, NESE OMUR Ars Combinatoria: An Australian-Canadian Journal of Combinatorics . 2010,第Null期

机译：算术进展中带有指数的圆锥曲线表征广义斐波那契和卢卡斯序列
2. New Identities for Generalized Fibonacci Sequences and New Generalization of Lucas Sequences [J] . Omer Yayenie Southeast Asian bulletin of mathematics . 2012,第5期

机译：广义斐波那契数列的新恒等式和卢卡斯序列的新泛化
3. On two new classes of Fibonacci and Lucas reciprocal sums with subscripts in arithmetic progression [J] . Robert Frontczak Applied mathematical sciences . 2017,第25a28期

机译：关于两类新的斐波那契和卢卡斯倒数和，在算术级数中带有下标
4. On r-circulant matrices with Fibonacci and Lucas numbers having arithmetic indices [C] . Aldous Cesar F. Bueno International Conference on Mathematics, Statistics, and Their Applications . 2017

机译：在具有算术指标的斐波纳契和卢卡斯数字的R-循环矩阵
5. Fibonacci and Lucas series with elliptic functions. [D] . Nguyen, TuAnh Gia. 2005

机译：斐波那契和卢卡斯系列具有椭圆函数。
6. Arithmetic Progressions on Conics [O] . Abdoul Aziz Ciss, Dustin Moody -1

机译：圆锥曲线的算术级数
7. Some properties of the generalized Fibonacci and Lucas sequences related to the extended Hecke groups [O] . Sebahattin İkikardes, Zehra Sarıgedik 2013

机译：与扩展的Hecke群有关的广义Fibonacci和Lucas序列的某些性质

CONICS CHARACTERIZING THE GENERALIZED FIBONACCI AND LUCAS SEQUENCES WITH INDICES IN ARITHMETIC PROGRESSIONS

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