In this paper, we obtain the extended Wright generalized Hypergeometric function using extended Beta function. We also obtain certain integral representations, Mellin transform and some derivative properties of extended Wright generalized Hypergeometric function. Further, we represent extended Wright generalized Hypergeometric function in the form of Laguerre polynomials and Whittaker function.

In this article, we have obtained some novel results on bilateral generating functions of the polynomials, YYnn+rr αα−nnnn(xx;kk), a modified form of Konhauser biorthogonal polynomials, YYnn(xx; kk) by group-theoretic method. As special cases, we obtain the corresponding results on Laguerre polynomials, LLnn αα(xx). Some applications of our results are also discussed.

We describe the behavior as n → ∞ of the Laplace transforms of Pn, where P a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer [2] in the combinatorial theory of derangements. 1 Statement of the main results The generalized derangement problem in combinatorics can be formulated as follows. Suppose X is a finite set and ∼ is an equiva...

Information, communication and technology have known a larger innovation in the field of research. This technology has a several directions of studies, among the axis most necessary is the image processing. This field underwent a major change by adopting new procedures of analysis, such as Image Analysis by orthogonal Moments. Among this orthogonal moments family: Zernike Moments, Tchebichef Mo...

For complex biological systems, conventional analysis of fluorescence intensity decay in terms of discrete exponential components cannot readily provide a true representation of the underlying fluorescence dynamics. We investigate an alternative nonparametric method for the analysis of time-resolved fluorescence data from biochemical and biological systems based on the expansion of fluorescence...

Numerical transform inversion can be useful to solve stochastic models arising in the performance evaluation of telecommunications and computer systems. We contribute to this technique in this paper by extending our recently developed variant of the Laguerre method for numerically inverting Laplace transforms to multidimensional Laplace transforms. An important application of multidimensional i...

Abstract. In our previous papers [1, 2] we studied Laguerre functions and polynomials on symmetric cones Ω = H/L. The Laguerre functions l n , n ∈ Λ, form an orthogonal basis in L(Ω, dμν ) and are related via the Laplace transform to an orthogonal set in the representation space of a highest weight representations (πν ,Hν) of the automorphism group G corresponding to a tube domain T (Ω). In thi...

The continuous-time implementation of the popular transversal filter is problematic since it is impossible to implement an ideal time delay in continuous-time hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown to be inferior to low-pass (Gamma) and all-pass (Laguerre) stages in discrete-time simulations. We demonstrate feed...

We demonstrate electromagnetically induced transparency with the control laser in a Laguerre–Gaussian mode. The transmission spectrum is studied in an ultracold gas for the D2 line in both Rb and Rb, where the decoherence due to diffusion of the atomic medium is negligible. We compare these results to a similar configuration, but with the control laser in the fundamental laser mode. We model th...