r, we consider the following general setting. Let (an)n≥0 be an arbitrary sequence nd (a⌊n/k⌋)n≥0 its dual floor sequence. We study …

Mar 26, 2023 · We study infinite series and finite generalized binomial sums involving $(a_{\lfloor n/k \rfloor})_{n\geq 0}$. As …

Mar 26, 2023 · We study infinite series and finite generalized binomial sums involving (a⌊n/k⌋)n≥0. As applications we prove a range …

Mar 26, 2023 · We study infinite series and finite generalized binomial sums involving $(a_{\lfloor n/k \rfloor})_{n\geq 0}$. As …

In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less than or …

We study infinite series and finite generalized binomial sums involving $ (a_ {\lfloor n/k \rfloor})_ {n\geq 0}$. As applications we prove …

This paper aims to extend the existing body of work by systematically analyzing series and sums involving the floor function. We …

In this part of a series of two papers, we extend the theorems discussed in Part I for infinite series. We then use these theorems to …

We study infinite series and finite generalized binomial sums involving $(a{\lfloor n/k \rfloor})_{n\geq 0}$. As applications we prove a …

Floor Integer Functions Floor [z] Series representations (2 formulas) Exponential Fourier series (1 formula) Other series …