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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 09 > No. 4

 
   

Certain Integral Transforms for the Incomplete Functions

PP: 2161-2167
Author(s)
Junesang Choi, Praveen Agarwal,
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.

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