Keywords: Quadratic transformation Hypergeometric function of order two Kummer–type transformations Bailey's transform a b s t r a c t By applying various known summation theorems to a general formula based upon Bailey's transform theorem due to Slater, Exton has obtained numerous new quadratic transformations involving hypergeometric functions of two and of higher order. Some of the results ha...

n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.

Abstract This paper considers the definition and properties of generalized natural transform on sets functions. Convolution products, convolution theorems, spaces Boehmians are described in a form auxiliary results. The constructed achieved fulfilled by pursuing deep analysis set delta sequences axioms which have mitigated construction spaces. Such results exploited emphasizing virtual addresse...

This paper addresses the improvement on the generalized Hough transform for the biometric identification applications. The errors in generalized Hough transform for fingerprint matching are investigated and a new hierarchical Hough transform algorithm is proposed, which is faster and more accurate compared to conventional generalized Hough transform.

Using the free-space translation representation (modified Radon transform) of Lax and Phillips in odd dimensions, it is shown that the generalized backscattering transform (so outgoing angle ω = Sθ in terms of the incoming angle with S orthogonal and Id−S invertible) may be further restricted to give an entire, globally Fredholm, operator on appropriate Sobolev spaces of potentials with compact...