Abstract
ABSTRACTThis article deals with definitions and applications of the q-theory of the Natural transform to various classes of special functions. We discuss q-analogues of the Natural transform on various classes of q-hypergeometric functions, q-Bessel functions, q-gamma functions, q-exponential functions, q-sine functions, q-cosine functions and some polynomials of certain growth conditions. Moreover, we derive results involving certain Fox's -functions. Over and above, we introduce various examples and corollaries to show effectiveness and generality of the obtained results as well.
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