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 ...

Excel's SEQUENCE function lets you create a list of numbers in a sequence in an instant. It also allows you to define the ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

Have you ever found yourself endlessly dragging that little Excel fill handle, trying to populate rows or columns with numbers, dates, or formulas? It’s tedious, time-consuming, and let’s be ...