Most people probably don’t think of mathematics when they hear “busy beavers.” But these eager little animals symbolize one of the most amazing concepts of the knotty field: not everything can be ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

In Microsoft Excel, a FACT or FACTDOUBLE function are both a Math and Trigonometry function. Math and Trigonometry functions in Excel perform mathematical calculations, including basic arithmetic, ...

In this paper, we derive a class of approximations of the 𝑞-digamma function 𝜓𝑞(𝑥). The infinite family I a ( x;q )=log [ x+a ] q + q x logq 1− q x −( 1 2 −a )H( q−1 )logq, can be used as ...

In the present study, we consider two subclasses of starlike and convex functions, denoted by S ℬ * and 𝐶ℬ respectively, associated with a bean-shaped domain. Further, we estimate certain sharp ...

Researchers at the University of Twente have developed a new method that allows them to precisely control chemical reactions using metal ions. This marks an important step toward computers that ...