Under the assumption of existence Stahl's $S$-compact set we give a short proof limit zeros distribution Pade polynomials and convergence in capacity diagonal approximants for generic class algebraic functions. The is direct but not from opposite as original is. means particular that all branch points multi-sheeted Riemann surface function are first order (i.e., assume such square root type). ...

The RG functions of the 2D n-vector λφ4 model are calculated in the five-loop approximation. Perturbative series for the β-function and critical exponents are resummed by the Pade-Borel and Pade-Borel-Leroy techniques, resummation procedures are optimized and an accuracy of the numerical results is estimated. In the Ising case n = 1 as well as in the others (n = 0, n = −1, n = 2, 3, ...32) an a...

In this paper, the modern nonlinear theory is applied to a third order phase locked loop (PLL) with feedback time delay. Due delay, different behaviors that are not accounted for in conventional PLL model identified, namely, oscillatory instability, periodic doubling and chaos. Firstly, Pade approximation used delay where it utilized deriving state space representation of under investigation. T...

In this paper, two suboptimum detectors are proposed for coherent radar signal detection in K-distributed clutter. Assuming certain values for several initial moments of clutter amplitude, the characteristic function of the clutter amplitude is approximated by a limited series. Using the Pade approximation, it is then converted to a rational fraction. Thus, the pdf of the clutter amplitude is o...

In this paper, a hybrid technique based on the combining of differential transform approach, Laplace transformation, and Pade approximant is successfully implemented for solving Volterra Integro (VID) equations subject to appropriate conditions. The proposed method known as modified (MDTM) enlarges domain convergence with less computational time. One interesting features algorithm ability produ...