In this work, we propose a continuous-variable quantum algorithm to compute the projection coefficients of a holomorphic function in the Segal–Bargmann space by leveraging its isometric correspondence with single-mode quantum states. Using CV quantum circuits, we prepare the state (\ket{f}) associated with (f(z)) and extract the coefficients (c_n = \braket{n}{f}) via photon-number-resolved detection, enhanced by interferometric phase referencing to recover full complex amplitudes. This enables direct quantum estimation and visualization of the coefficient sequence – offering a scalable, measurement-based alternative to classical numerical integration for functional analysis and non-Gaussian state characterization.