Belaidi et al. [3] have introduced the idea (alpha, beta, gamma)-order and (alpha, beta, gamma)- lower order of meromorphic function, where alpha is an element of L-1-class, alpha is an element of L-2-class, gamma is an element of L-3-class. In order to make some progresses in the study of growth analysis of meromorphic functions, here in this paper, we have discussed on the relative (alpha, beta, gamma)-order and relative (alpha, beta, gamma)-lower order of a meromorphic function with respect to an entire function. Then we have investigated some basic properties of meromorphic functions using these definitions under somewhat different conditions.
. We consider the slotted Aloha-based access network where multiple transmitters try to send deadline-constrained packets to the access point. The delivery deadline of packets may be generally a random variable depending on the type of traffic or their urgency. The successful delivery probability (SDP), which is defined as the long-run fraction of packets successfully delivered to the receiver before their maximum allowable deadline, is a suitable measure for evaluating the performance of time-critical traffic. We derive the closed-form expression for the SDP for the slotted Aloha-based access network under the assumptions of MPR and general delivery deadline distribution.
In the frequency analysis of rainfall amounts for arid and semi-arid regions, it is common to observe zero values for dry days. Since continuous distributions cannot describe such data, a discrete-continuous mixture version of standard distributions is defined to model the data. In this paper, the zero-adjusted versions of several distributions such as gamma, inverse Gaussian, log-normal, Weibull, loglogistic, generalized gamma, and generalized inverse Gaussian were fitted to monthly rainfall. The models were evaluated using a combination of the K-S test and AIC criteria, which indicated that the zero-adjusted gamma distribution provided the most satisfactory fit to the data.
We examine the length theory of line segments in the Lorentzian plane and the isotropic plane, with emphases the definition of distance.
In this paper, we introduce a new and generalized subclass of p-valently close-to-convex functions defined with subordination. We establish the coefficient estimates, inclusion relation, distortion theorem and argument theorem for this class. Some earlier known results follow as consequences.
