q)-Bessel functionsq)-DifferentiationMotivated by recent investigations, the main object of this paper is to construct the new (p, q)-analogy definitions of the various families of (p, q)-Bessel functions using the generating function method as a starting point. We derive the explicit ...
A model of self-interacting columns, related to models of partially directed walks and to histogram polygons, is considered. The generating function of this model is found in terms of q-deformed Bessel functions using a functional recursion scheme. A transition, related to a deflation-inflation ...
We report zero-th and high-order acoustic Bessel beams with broad depth-of-field generated using acoustic holograms. While the transverse field distribution of Bessel beams generated using traditional passive methods is correctly described by a Bessel function, these methods present a common drawback:...
given a probability distribution P(x) >0 on a given interval , if we define the moment generatign function M(x)= \int_{a}^{b}dt e^{xt}P(t)dt my...
In this paper, the author begins by presenting a systematic (historical) account of the orthogonality of the generalized Bessel polynomials that arise naturally in a number of seemingly diverse contexts. The related expansion problem and various recent results involving generating functions for these pol...
However, the characteristics of the Generalized Hyperbolic process prevent such an easy adaption. Therefore, we provide by applying a Taylor series approximation for the modified Bessel function of the third kind, a Tschirnhaus transformation and a symmetric distribution assumption, a SMOM for the ...
The generating function method also provides new examples of self-duality for processes in the continuum such as the Brownian Energy Process (BEP), which intertwines with the SIP via the generating function. In fact, we show equivalence between self-duality of SIP, duality between SIP and BEP...
Applying spectral factorization method, the frequency response of the desired filter is The impulse response of the filter is [1] where, is the fractional Bessel function of the first kind, is the sampling interval for implementing the digital filter and is a constant. The impulse response of ...
Fixed transfer-function low-pass filters have also seen sweeping improvements. The MAX7426/MAX7427 5th-order elliptical filters offer a 12kHz maximum corner frequency and consume less than 1mA of supply current, whereas the MAX7408 provides a 15kHz maximum corner frequency and consumes only 1.2mA...
Also, we introduce the bilateral generating function for the generalized... BS Desale,GA Qashash - 《J.inequal.spec.funct》 被引量: 9发表: 2011年 Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials. Generating functionsGroup-theoretic ...