On the Integral Points of the Bi-Quadratic Equation with Four Unknowns (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2014, Vol 1, Issue 2
Abstract
The Bi-quadratic Equation with four unknowns given by (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3 is analyzed for its patterns of non –zero distinct integral solutions. A few interesting relations between the solutions and special polygonal numbers are exhibited.
Authors and Affiliations
S. Vidhyalakshmi, A. Kavitha, M. A. Gopalan
Lower Triangular Vector Bilinear Autoregressive Time Series Model
This work proposed a strategy for fitting a subset form of a vector bilinear model. In this case, lower triangular portion of the vector linear and non-linear components of a vector autoregressive bilinear structure was...
Calculation of the Dates of New Moon and Full Moon of All Months of the Upcoming Five Years (2017-2021)
In this paper we have investigated some aspects of astronomical phenomenon of Moon. We have discussed about Moon’s phases and different phenomena of Moon’s phases. We have calculated the dates of new moon and full moon o...
Region of Variability of a Subclass of Starlike Univalent Functions
Let R denote the class of all analytic univalent functions f(z) in the unit disk ∆ with f(0)=f^' (0)=1 and (zf^' (z))/(f(z)) is starlike. For any fixed z_0 in the unit disk and λ ∈ ∆ ̅, we determine the region of variabi...
Invariant submanifolds of ( , )-trans-Sasakian manifolds
The object of present paper is to find necessary and sufficient conditions for invariant submanifolds of -trans-Sasakian manifolds to be totally geodesic.
A Specific Formula to Compute the Determinant of One Matrix of Order
Let be an matrix, where , In this paper, we establish a specific formula to calculate the determinant of matrix .