The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in ...

https://doi.org/10.4169/amer.math.monthly.121.04.344 • https://www.jstor.org/stable/10.4169/amer.math.monthly.121.04.344 Copy URL Abstract We derive asymptotic ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

In this manuscript, we show new binomial identities in iterated rascal triangles, revealing a connection between the Vandermonde convolution and iterated rascal numbers. We also present ...

Abstract: To understand what binomial coefficients are, let us begin with a simple example: how many different ways are there to choose two pencils among four different pencils? We can number the ...

A fixed coefficient production function is a type of production function where inputs must be used in fixed proportions to produce a certain level of output. A fixed coefficient production function ...