Some Relations between Stieltjes Transform and Hankel Transform with Applications

Abstract

In the present paper four theorems connecting Stieltjes transform and Hankel transform are established. The theorems are general in nature. Four integral formulae involving special functions are obtained with the help of these theorems. Otherwise it is very difficult to evaluate such type of integrals. Other several integrals may be evaluated with the help of these theorems.

Keywords

• bessel functions
• hankel transform
• stieltjes transform
• struve