Certain Integral Transforms for the Incomplete Functions

Authors

Junesang Choi, Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of KoreaFollow
Praveen Agarwal, Department of Mathematics, Anand International College of Engineering, Jaipur-303012, IndiaFollow

Author Country (or Countries)

India

Abstract

Srivastava et al. [14] introduced the incomplete Pochhammer symbols that lead to a natural generalization and decomposition of a class of hypergeometric and other related functions to mainly investigate certain potentially useful closed-form representations of definite and semi-definite integrals of various special functions. Here, in this paper, we use the integral transforms like Beta transform, Laplace transform, Mellin transform, Whittaker transforms, K-transform and Hankel transform to investigate certain interesting and (potentially) useful integral transforms the incomplete hypergeometric type functions pgq[z] and pGq[z]. Relevant connections of the various results presented here with those involving simpler and earlier ones are also pointed out.

Recommended Citation

Choi, Junesang and Agarwal, Praveen (2015) "Certain Integral Transforms for the Incomplete Functions," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 56.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/56