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

introduction: one of the major problems in the development of nuclear medicine images is the presence of noise. the noise level in nuclear medicine images is usually reduced by the analysis of imaging data in a fourier transform environment. the main drawback of this environment belongs to low signal to noise ratio in high frequencies because removing noise frequencies may remove data and times...