The recursive formulas of modified Bessel functions give the relativistic expressions for energy and momentum. Modified Bessel functions are solutions to a continuous time, one-dimensional discrete jump process. The jump process is analyzed from two inertial frames with a relative constant velocity; the average distance of a particle along the chain corresponds to the distance between two obser...

In the paper, the authors find necessary and sufficient conditions for a difference between the exponential function αe, α, β > 0, and the trigamma function ψ′(t) to be completely monotonic on (0,∞). While proving the complete monotonicity, the authors discover some properties related to the first order modified Bessel function of the first kind I1, including inequalities, monotonicity, unimoda...

Modern wireless communication systems support high speed multimedia services. These services require high data rates with acceptable error rates. Orthogonal Frequency Division Multiplexing (OFDM) is a capable candidate to solve this problem. In this paper, a new expression for the BER of OFDM system has been derived over Nakagami–n (Rice) fading channels using characteristics function (CHF) app...

This paper contains new explicit computations of some integrals containing elementary functions, such as powers, logarithms, exponentials. In this work the authors use their contour integral method to derive a double connected modified Bessel function second kind $K_{\nu}(z)$ and express it in terms Lerch function. A table pairs is given for interested readers. The majority results are new.