ARTICLE
TITLE

ARBITRARY ORDER RECURSIVE SEQUENCES AND ASSOCIATED CONTINUED FRACTIONS

SUMMARY

The essential idea in this paper it to generalize and synthesize some of the pioneering ideas of Bernstein, Lucas and Horadam on generalizations of basic and primordial Fibonacci numbers and their arbitrary order generalizations and their relation to generalized continued fractions with matrices as the unifying elements.

PAGES
pp. 7147 - 7154
COLLECTIONS

 Articles related

Luis Arenas Carmona    

A representation field for a non-maximal order H in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders representing H. In our previous work we have proved th... see more

Revista: Proyecciones

K. V. R. Srinivas    

In this paper a study of properties of the Mitsch order relation ’µ’ on a regular semigroup and Nambooripads order ’?’ on any arbitrary regular semigroup is made. Mainly a characterization of Lallement order on a regular semigroup is obtained. The necess... see more

Revista: Proyecciones

Liang Fang    

Second-order cone programming has received considerable attention in the past decades because of its wide range of applications. Non-interior continuation method is one of the most popular and efficient methods for solving second-order cone programming p... see more


Steve Awodey, Carsten Butz    

Using recent results in topos theory, two systems of higher-order logic are shown to be complete with respect to sheaf models over topological spaces - so-called "topological semantics". The first is classical higher order logic, with relational quantifi... see more


John Ojima Mamman, Terhemen Aboiyar    

This paper presents a numerical technique for solving fractional integrals of functions by employing the trapezoidal rule in conjunction with the finite difference scheme. The proposed scheme is only a simple modification of the trapezoidal rule, in whic... see more