Fourier analysis provides a powerful framework for decomposing functions into sums or integrals of sinusoidal components, thereby enabling the study of frequency content in signals. In tandem, ...

Let $P^m_{-1/2 + i_x}(z)$ be the associated Legendre function of order $m$ and degree $-1/2 + ix$. We give, here, two integral transforms $G^m$ and $H^m$, arising ...