Abstract We present a method to perform the exact convolution of model prediction for bispectrum multipoles in redshift space with survey window function. extend widely applied power spectrum bispectrum, taking advantage 2D-FFTlog algorithm. As preliminary test its accuracy, we consider toy spherical function real space. This setup provides an analytical evaluation 3-point window, and therefore...

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

in this article using the inverse laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. these transfers have been expressed as the couette flow with the fractional derivative of the caputo sense. also, using the hankel contour for the bromwich's integral, the solutions are given in terms of the generalized airy functions.

In this paper, the author studies the multiple binomial transform and the Hankel transform of shifted sequences of an integer sequence, particularly a linear homogeneous recurrence sequence, and some of their properties.

where φ :Rn → C and φt(x)= t−nφ(x/t), t > 0. For conditions of validity of identity (1.1), we may refer to [3]. Hankel convolution introduced by Hirschman Jr. [5] related to the Hankel transform was studied at length by Cholewinski [1] and Haimo [4]. Its distributional theory was developed byMarrero and Betancor [6]. Pathak and Pandey [8] used Hankel convolution in their study of pseudodifferen...

Light diffraction by volume Fresnel zone plates (VFZPs) is simulated by the Hankel transform beam propagation method (Hankel BPM). The method utilizes circularly symmetric geometry and small step propagation to calculate the diffracted wave fields by VFZP layers. It is shown that fast and accurate diffraction results can be obtained with the Hankel BPM. The results show an excellent agreement w...