主题词：Mathematical functions and polynomials; Mathematical Analysis and Transform Methods; Advanced Mathematical Identities; Fractional Differential Equations Solutions; Differential Equations and Boundary Problems; Algebraic and Geometric Analysis; Holomorphic and Operator Theory; Advanced Harmonic Analysis Research; Analytic Number Theory Research; Iterative Methods for Nonlinear Equations; Mathematical Inequalities and Applications; Analytic and geometric function theory; Mathematical and Theoretical Analysis; Image and Signal Denoising Methods; Quantum Mechanics and Non-Hermitian Physics; Numerical methods in inverse problems; Spectral Theory in Mathematical Physics; Nonlinear Waves and Solitons; advanced mathematical theories; Advanced Combinatorial Mathematics; Functional Equations Stability Results; Matrix Theory and Algorithms; Advanced Algebra and Geometry; Digital Filter Design and Implementation; Approximation Theory and Sequence Spaces