Here presented is constructive generalization of exponential Euler polynomial and exponential splines based on the interrelationship between the set of concepts of Eulerian polynomials, Eulerian ...

Exponential and logarithmic functions are mathematical concepts with wide-ranging applications. Exponential functions are commonly used to model phenomena such as population growth, the spread of ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

Exponential generating functions So far, we defined the generating function for a sequence $\left (h_n\right)_ {n \geq 0}$ by using the monomials $1, x, x^2, \ldots$ There were no coefficient ...

Abstract: Generating functions (GFs) are one of the most useful tools for problem solving, as they have been playing an important role in many applications, including but not limited to counting, ...

Exponential generating functions So far, we defined the generating function for a sequence $\left (h_n\right)_ {n \geq 0}$ by using the monomials $1, x, x^2, \ldots$ There were no coefficient ...