The Generating Functions for Special Pringsheim Continued Fractions

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications in Advanced Mathematical Sciences
Volume:3 Issue:2
The Generating Functions for Special Pringsheim Continued Fractions

The Generating Functions for Special Pringsheim Continued Fractions

Authors : Ümmügülsün AKBABA, Ali Hikmet DEĞER

Pages : 74-81

Doi:10.33434/cams.690643

View : 30 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :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.
Keywords : Fibonacci Sequence, Generating Functions, Pell Sequence, Continued Fractions, Suborbital Graphs

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.