In this paper, we present a new representation of gamma function as a series of complex delta functions. We establish the convergence of this representation in the sense of distributions. It turns out ...

Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

for $0 \leq x < y \leq +\infty$, $\mu = \pm1$ and $p > 0$. Notice that when $\mu = -1$, we impose the restriction that $y \neq +\infty$ and $p$ is an integer in ...