Then, by Koshy's motivation, the generating function of the recurrence relation of these pringsheim continued fractions are examined.
📌 3 Key Takeaways
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Objective & Hypothesis:In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated.
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Key Findings & Data:Then, for special vertices, the relations between these vertices and Fibonacci numbers were examined.
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Conclusion & Impact:Then, by Koshy's motivation, the generating function of the recurrence relation of these pringsheim continued fractions are examined.
In previous works, some relations between Pringsheim continued fractions and vertices of the paths of minimal length on the suborbital graphs $\mathrm{\mathbf{F}}_{u,N}$ were investigated. Then, for special vertices, the relations between these vertices and Fibonacci numbers were examined. On the other hand, Koshy studied relation between recurrence relations of Fibonacci numbers, Pell numbers and generating functions. In this work, it is showed that every vertex on the path of minimal length of suborbital graph $\mathrm{\mathbf{F}}_{u,N}$ has a Pringsheim continued fraction. Then, by Koshy's motivation, the generating function of the recurrence relation of these pringsheim continued fractions are examined.
AKBABA, Ü., DEĞER, A. H. (2020). The Generating Functions for Special Pringsheim Continued Fractions. Communications in Advanced Mathematical Sciences, Cilt: 3 - Sayı: 2, 74–81. https://ajindex.com/articles/748262
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