Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...

We describe all Euler like operators 𝐶, i.e. natural operators transforming tuples (λ, 𝑔) of Lagrangians λ: J s Y→ ∧ m T ∗ M on a fibred manifold 𝑌 → 𝑀 and functions 𝑔 : 𝑌 → 𝐑 into Euler maps C ...

We first study some generalizations of Eulerian fractions with complex order parameter and investigate their interrelationship with likewise generalized Eulerian functions as well as Stirling ...