On The Negative Pell Equation x^2=8y^2-4
The binary quadratic equation represented by x^2=8y^2-4 the negative pellian is analyzed for its distinct integer solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle.
 E.E. Whitford,“Some Solutions of the Pellian Equations ,” JSTOR:Annals of Mathematics, Second Series 1913-1914; vol5, No.1/4, 157-160.
 S. Ahmet Tekcan, Betw Gezer and Osman Biim, “On the Integer Solutions of the Pell Equation ”, World Academy of Science, Engineering and Technology, 1; (2007); 522-526.
 Ahmet Tekcan, “The Pell Equation ”, World Academy of Science, Engineering and Technology, 19; (2008); 697-701.
 Merve Guney of the Pell equations when Mathematica Aterna, 2(7); (2012); 629-638..
 M.A. Gopalan, S. Vidhyalakshmi., T.R. Usha Rani, and S. Mallika, “Observations on ” Bessel Journal of Math, 2(3); (2012); 153-158.
 M.A. Gopalan, S. Vidhyalakshmi, N. Thiruniraiselvi, “A study on the Hyperbola on ”, International Journal of Latest Research in Science and Technology, 2(1), Feb(2013); 454-456.
 V. Sangeetha, M.A. Gopalan, Manju Somanath, “On the Integral Solutions of the pell equation ”, International Journal of Applied Mathematical Research, (2014); 3(1), 58-61.
 M.A. Gopalan, S. Vidhyalakshmi, G. Sumathi, “Observations on the Hyperbola on ”, Scholars Journal of the Engineering and Technology, 2(2A), (2014); 152-155.
 M.A. Gopalan, S. Vidhyalakshmi, A. Kavitha, “On the Integral Solution of the Binary , Quadratic Equation”, Scholars Journal of the Engineering and Technology, 2(2A), (2014); 156-158.
 S. Vidhyalakshmi, V. Krithika, K. Agalya, “On the negative Pell Equation ”, Proceedings of the National Conference on MATAM, Dindukal, (2015), 4-9.
 K. Meena, M.A. Gopalan, R. Karthika, “On the Negative Pell Equation ”, International Journal of Multidisciplinary Research and Development, 2(12); Dec (2015); 390-392.
 K. Meena, M.A. Gopalan, A. Rukmani, “On the Negative Pell Equation ”, Universe of Emerging Technologies and Science, Vol II, Dec (2015); Issue XII; 1-4.
 K. Meena, M.A. Gopalan, E. Bhuvaneswari, “On the Negative Pell Equation ”, Scholars Bulletin, 1(11); Dec (2015); 310-316.
 M.A. Gopalan, S. Vidhyalakshmi, R. Presenna, M. Vanitha, “Observation on the Negative Pell Equation ”, Universe Journal of Mathematics , Vol 2, Dec (2015); Issue 1; 14-. 45.
 M.A. Gopalan, S. Vidhyalakshmi, V. Pandichelvi, P. Sivakamasundari, Priyadharshini, “On the Negative Pell Equation ”, International Journal of pure Mathematical Science,Vol-16; (2016); 30-36.
 S. Vidhyalakshmi, M.A. Gopalan, E. Premalatha, S. Sofia christinal, “On the Negative Pell Equation “, International Journal of Emerging Technologies in Engineering Research(IJETER), 4(2); Feb (2016), 25-28.
 K. Meena, S. Vidhyalakshmi, G. Dhanalakshmi, “On the Negative Pell Equation “, Asian Journal of Applied Science and Technology (AJAST), 1(7); Aug (2017), 98-103.
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