Bessel functions (BFLie algebraGenerating functions for the one-parameter generalized Bessel function J(x, y; s) are obtained by using representation of the Lie group T. A few special cases of interest are also discussed.doi:10.1016/S0034-4877(97)88003-2M.A. Pathan...
Motivated by several recently demonstrated applications of a theorem on generating functions in (for example) the derivation of a number of interesting expansions for the generalized hypergeometric rF 3 function in series of Bessel functions, we present here a generalization of the theorem and briefly...
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 ...
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 order to reduce the complexity of the Bessel pattern one can design an equivalent field distribution using an ideal axicon, i.e., imposing a compensation for the intensity as a function of the radial coordinate. By simple geometrical considerations, this results in a source field of ...
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...
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 ...
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...
Rzi *=A+1 or -1 as a function of random number operator, Rz * Bzi *=+1 or -1 as a function of a control operator, Bz *. 27. The musical instrument of claim 26 wherein said control means for generating the control operator, Bz * includes means responsive to the value of L ...