A Different Perspective on Undeniable Roles of Some Well-defined Special Functions in Various Multidisciplinary Applications

In this special note, certain perspectives on various undeniable roles of certain special functions are considered. First, the selection of the relevant special function is discussed with a focus on the well-known gamma function. Then, essential information about this special function is provided, and important relationships between the selected function and the Caputo derivative(s) of fractional order are established. Finally, the possible effects of the relevant fractional derivative on certain types of special functions are revolved as computational and theoretical researches.