Theory and Applications of Integral Transformations and Operational Calculus

An integral transform maps a function from its original function space onto another function space by integration in which some of the features of the original function could be easier to manipulate and characterize than in the original function space. The function which is transformed can be traced back to the original function generally, through the inverse transform. An integral transform traces an equation from the original domain in the other domain; where solving and manipulating the equation is much easier as compared to the original domain. Operational calculus is a method which transforms differential equations into algebraic problems. The theory of integral transformations and related operational calculus has applications in a variety of fields including physical sciences, engineering, mathematical sciences, statistics and chemical sciences. This book explores all the important aspects of integral transformations and operational calculus. It is meant for students who are looking for an elaborate reference text on the theory and applications of integral transformations and operational calculus.