Volume 14 – Issue 1

In this article we have presented a novel result in connection with the unification of a class of trilateral generating relations for certain special functions with Tchebycheff polynomial by group theoretic method. A good number of applications of our result are also given in section 3 of this paper.

This paper is devoted to studying the growth and oscillation of the polynomial of combinaison of two linearly independent meromorphic solutions to the complex differential equation f”+ A(z) f’ + B(z) f = 0, where A(z) and B (z) are meromorphic functions of finite iterated p-order

In this article, we have obtained some novel theorems on generating functions (both bilateral and mixed trilateral) of modified Gegenbauer polynomials by introducing a partial differential operator obtained by double interpretations to the index (n) and the parameter (λ) of the polynomials under consideration in Weisner’s group-theoretic method. Some applications of our results are also discussed.

This paper is devoted to investigate the Saigo’s generalized fractional integral operators of the generalized Mittag-Leffler type functions. Several special cases of interest are mentioned. Results given recently by Sharma[9], Saxena et al.[18] and Saigo et al.[20] follow as special cases of the theorems established here.

Recently developed concepts of Quaternion Fourier transform and Fractional Quaternion Fourier transform based on Quaternion Algebra has been found to be useful for color image processing and signal analysis. In this paper we extend the concept of quaternion to Linear Canonical transform which will be more useful tool, because Linear Canonical transform is the generalization of Fractional Fourier transform and classical Fourier transform with three more degrees of freedom. First we shall define quaternion Linear Canonical transform and prove some of its properties.

In this paper, we obtain the stochastic differentials of some of the most common continuous stochastic processes using Itô’s formula.

The beginning of the 21st century recorded huge steps in the development of technology and innovative solutions that can be applied in all areas, including education. At present, beside technology, communication and collaboration represent important channels for successful activities or projects developed by educational communities, even they are worldwide located. In this respect, the partnership of the European LLP-KA3 transversal project no. 511733-LLP-1-2010-1-FI-KA3-KA3MP entitled “Enabling Creative Collaboration through Supportive Technologies” has organized the on-line course “Designing Technology-Enhanced Learning (TEL)”. The paper presents the main considerations emphasized by the students concerning the Designing TEL course experience and the tutors’ considerations related to how students accomplished their tasks working cooperatively, being creative in the dedicated 3D collaborative space and producing qualitative pedagogical and technological scripts.

The current paper stems out of the author’s concern with the issue of the scientometric parameters used for the evaluation of scientific research productivity. The main point discussed now focuses on the impact of the citations received by published papers on the major scientometric parameters, with special reference to the academic teaching staff in the Faculty of Sciences and Arts of Valahia University of Targoviste (UVT), Romania. Aspects such as ranking, comparison of teaching members and fields as well as university financial endowment are discussed and conclusions are drawn

In this letter, we develop analytic solutions for integral equations within local fractional derivative operators by using the proposed local fractional Adomain’s decomposition method. The iteration procedure is based on local fractional derivative. Two examples are given to elucidate the solution procedure, and the results are compared with the obtained results. The results reveal that the methodology is very efficient and simple tool for solving fractal phenomena arising in mathematical physics and engineering

Oscillations of power systems cause instability in power networks; hence PSS is used in conventional methods. Finding suitable gains for PSS is one of the main concerns in designing and determining stability in power networks. Therefore the increase in velocity and the rotor angle can be optimized and compared by using 6th order equations of synchronized machines connected to an infinite network in qdo space and by linearizing the equation in addition to applying genetic optimization, electromagnetic methods, and the theory of optimized control. After analyzing the completed studies, it can be observed that the system will become stable through the use of optimized gains with a higher velocity and a lower rate of error. The mentioned optimized algorithms have been compared with the intent of speeding up system stability

In the case of texture pole figure of planes (hkl) is the density of normals, per unit solid angle, described by the curve. If the material consists of several phases, as with most materials of technological implications, each phase has its own distribution function of orientations. The texture does not influence the absolute values of material properties which are determined by the chemical composition, phase distribution, grain structure, microstructure, defects and ordering network. The texture, however, influence the properties of anisotropy. This work broached experimental correlation between primary recrystallization texture and Goss‘s texture characteristic of the electrotechnical steel for the transformator cores and this way was made the influence of the primary recrystallization texture on the form Goss’s texture {110} at the transformator sheet.