Efficient stratagems are developed for numerically evaluating oneand two-dimensional integrals over x, y with integrand exp( — x — y)I0(2Jpxy ). The integrals are expressed in terms of convergent series, which exhibit the correct limiting behavior, and which can be evaluated recursively. The performances of these stratagems are compared with numerical integration.

We consider multiple orthogonal polynomials corresponding to two Macdonald functions (modified Bessel functions of the second kind), with emphasis on the polynomials on the diagonal of the Hermite-Padé table. We give some properties of these polynomials: differential properties, a Rodrigues type formula and explicit formulas for the third order linear recurrence relation. 1 Macdonald functions ...

Simple upper and lower bounds are obtained for the integral ∫0xe−γttνIν(t)dt, x>0, ν>−12, 0<γ<1. Most of our this tight as x→∞. We apply one inequalities to bound some expressions involving integral. Two these appear in Stein's method variance-gamma approximation, will allow a technical advancement be made method.

Block error rate performance of subcarrier intensity modulation based optical wireless communication systems is analysed over Gamma–Gamma and lognormal atmospheric turbulence channels. The analysis is applicable to non-coherent binary modulations and coherent binary phase shift keying. The special cases of K-distributed strong turbulence channel and negative exponential turbulence channel are a...

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....

Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends By Pascal Philipp We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped-product type. Our main result is an upper bound on the resonance counting function, with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base ...