<p>This reprint MDPI edition comprises papers drawn from the Special Issue entitled Analytical and Computational Methods in Differential Equations Special Functions Transmutations and Integral Transforms.</p><p>This Special Issue includes research papers which cover a wide range of topics in classical computational and applied mathematics: differential equations especially concerning singular solutions and coefficients; transmutation theory with all kinds of its applications; integral transforms and special functions theory; classical and advanced inequalities; and numerical methods for all the abovementioned problems.</p>