In this study‎, ‎a new polynomial rank transmutation is proposed with the help of‎ ‎ the idea of quadratic rank transmutation mapping (QRTM)‎. ‎This polynomial rank‎ ‎ transmutation is allowed to extend the range of the transmutation parameter from‎ ‎  [-1,1] to [-1,k]‎‎. ‎At this point‎, ‎the generated distributions gain more&lrm...

We derive conditions on the functions ', , v and w such that the 0–1 fractional programming problem max x2f0I1gn 'ıv.x/ ıw.x/ can be solved in polynomial time by enumerating the breakpoints of the piecewise linear functionˆ. / D max x2f0I1gn v.x/ w.x/ on Œ0IC1/. In particular we show that when ' is convex and increasing, is concave, increasing and strictly positive, v and w are supermodular and...

In this article we provide integral representations for the Dirichlet beta and Riemann zeta functions, which are obtained by combining Mellin transform with the fractional Fourier transform. As an application of these integral formulas we derive tractable expansions of these L-functions in the series of Meixner-Pollaczek polynomials and rising factorials.

The Border Gateway Protocol (BGP) is the interdomain routing protocol used to exchange routing information between Autonomous Systems (ASes) in the internet today. While intradomain routing protocols such as RIP are basically distributed algorithms for solving shortest path problems, the graph theoretic problem that BGP is trying to solve is the stable paths problem (SPP). Unfortunately, unlike...

In this paper, stability results of main concern for control theory are given for nite-dimensional linear fractional diierential systems. For fractional diier-ential systems in state-space form, both internal and external stabilities are investigated. For fractional diierential systems in polynomial representation, external stability is thoroughly examined. Our main qualitative result is that s...

Regression predictors are usually entered into a model without transformation. However, it is not unusual for regression relationships to be distinctly nonlinear. Fractional polynomials account for nonlinearity through real-valued power transformations of primary predictors. Adaptive methods have been developed for searching through alternative fractional polynomials based on one or more primar...