Certain results related to the N-transform of a certain class of functions and differential operators

Abstract

Abstract In this paper, we aim to investigate q-analogues of the natural transform on various elementary functions of special type. We obtain results associated with classes of q-convolution products, Heaviside functions, q-exponential functions, q-hyperbolic functions and q-trigonometric functions as well. Further, we give definitions and derive results involving some q-differential operators.

Keywords

• q-differential operator
• q-trigonometric function
• q-convolution product
• q-natural transform
• q-hyperbolic function
• Heaviside function