In this paper, an integration of a symbolic power series method - Padé approximation technique (PS - Padé), was utilized to solve a system of nonlinear differential equations arising from the similarity solution of laminar thermal boundary layer over a flat plate subjected to a convective surface boundary condition. As both boundary conditions tended to infinity, the combination of series solut...

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We also obtained certain new results on the different methods.

Infinitely divisible random vectors without Gaussian component admit representations with shot noise series. We analyze four known methods of deriving kernels of the series and reveal the superiority of the inverse Lévy measure method over the other three methods for simulation use. We propose a numerical approach to the inverse Lévy measure method, which in most cases, provides no explicit ker...

Quite recently, Bor (2021) [22] has proved two main theorems dealing with absolute Riesz summability factors of infinite series and Fourier by using an almost increasing sequence. In this paper, we have generalized these to the | A , p n k method.

The condensation transformation, which maps series of positive terms into more conveniently summed alternating series, each term v¡ of which is itself an infinite series, is discussed with examples. It is shown that for a large class of extremely slowly convergent series (essentially those dominated by the "logarithmic scale") the series defining the terms Vj are more easily summed than the ori...