In this paper, we derive some new symmetric properties of 𝑘-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special ...

This is a preview. Log in through your library . Abstract Gontcharov obtained the joint probability generating function for the numbers of runs of all lengths, both of successes and failures, in a ...

Fractal interpolation functions (FIFs) represent an innovative class of methods for modelling and approximating complex data. Derived from iterated function systems, these functions enable the ...