This paper is an attempt is made to obtain Generating functions of modified Bessel Function. We can find number of generating functions for various special function and orthogonal polynomials by the application of group-theoretic method introduced by Louis Weisner.The process may also lead to some new generating functions for corresponding special functions. Bessel Function and orthogonal polyn...

spherical Bessel-function of the first kind and order n complex wave number (po~/2q) ~ wave number in a Hookean material non-negative integer spherical polar coordinate radius of plates of orthogonal rheometer radius of inner hemisphere of balance rheometer radius of outer hemisphere of balance rheometer time physical components of displacement physical components of velocity cartesian coordina...

in this paper we study the duality of bessel and g-bessel sequences in hilbertspaces. we show that a bessel sequence is an inner summand of a frame and the sum of anybessel sequence with bessel bound less than one with a parseval frame is a frame. next wedevelop this results to the g-frame situation.

To describe joint timeand frequency-selective (doublyselective) channels in mobile broadband wireless communications, we propose to use the finite parameter model based on the same Bessel functions for each tap (Bessel model). An expression of channel estimation mean squared error (MSE) based on the finite parameter models in Orthogonal Frequency Division Multiplexing (OFDM) systems is derived....

We construct martingales whose 1-dimensional marginals are those of a centered selfdecomposable variable multiplied by some power of time t. Many examples involving quadratic functionals of Bessel processes are discussed.

Evaluation of integrals Meijer G-function Bessel functions Cosine and sine functions a b s t r a c t This paper is devoted to the study of the special function Z ν ρ (z) of z ∈ C with two parameters ρ ∈ R and ν ∈ C. In a special case such a function coincides with the McDonald function. Using the representations of Z ν ρ (z) in terms of the H-function, being different for ρ > 0 and ρ < 0, we de...

The transformation from a time-dependent random walk to quantum mechanics converts a modi­ fied Bessel function into an ordinary one together with a phase factor e,ir/2 for each time the electron flips both direction and handedness. Causality requires the argument to be greater than the order of the Bessel function. Assuming equal probabilities for jumps ± 1 , the normalized modified Bessel fun...

The object of this paper is to give new expressions for the wave field produced when a time harmonic point source is diffracted by a wedge with Dirichlet or Neumann boundary conditions on its faces. The representation of the total field is expressed in terms of quadratures of elementary functions, rather than Bessel functions, which is usual in the literature. An analogous expression is given f...

New bounds are proposed for the Marcum -function, which is defined by an integral expression where the 0th-order modified Bessel function appears. The proposed bounds are derived by suitable approximations of the 0th-order modified Bessel function in the integration region of the Marcum -function. They prove to be very tight and outperform bounds previously proposed in the literature. In partic...