ABSTRACT
This 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.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors would like to express many thanks to the anonymous referees for their corrections and comments on this manuscript.
Disclosure statement
No potential conflict of interest was reported by the author.