Selcuk Journal of Applied Mathematicshttp://hdl.handle.net/123456789/33412020-12-04T08:08:11Z2020-12-04T08:08:11ZGeneralized Van der Laan and Perrin polynomials, and generalizations of Van der Laan and Perrin numbersKaygısız, KenanŞahin, Ademhttp://hdl.handle.net/123456789/106982018-05-18T00:01:34Z2013-01-01T00:00:00ZGeneralized Van der Laan and Perrin polynomials, and generalizations of Van der Laan and Perrin numbers
Kaygısız, Kenan; Şahin, Adem
In this paper, we present k sequences of generalized Van der Laan polynomials and generalized Perrin polynomials by using generalized Fibonacci and Lucas polynomials. We give some properties of these poly- nomials. We also obtain generalized order-k Van der Laan numbers, k sequences of generalized order-k Van der Laan numbers, generalized order- k Perrin numbers and k sequences of generalized order-k Perrin numbers. In addition, we examine relationships between them.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/8
2013-01-01T00:00:00ZE-curvature functions in R31İyigün, Esenhttp://hdl.handle.net/123456789/106972018-05-18T00:01:34Z2013-01-01T00:00:00ZE-curvature functions in R31
İyigün, Esen
In this study; we define the ith e-curvature functions mi for 1≤i≤3 in R31. So, in R31 we give arelation between harmonic curvatures and ith e-curvature functions.Moreover, we find a relation between constant curvature ratios and ith e-curvature functions. Finally, we apply on a unit speed time-like curve tothe some given results.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/91
2013-01-01T00:00:00ZSelf similar surfaces in Euclidean spacesEtemoğlu, EsraArslan, KadriBulca, Betülhttp://hdl.handle.net/123456789/106962018-05-18T00:01:37Z2013-01-01T00:00:00ZSelf similar surfaces in Euclidean spaces
Etemoğlu, Esra; Arslan, Kadri; Bulca, Betül
In the present study we consider self-similar surfaces imbedded in Euclidean space. We give necessary and sufficient conditions for the surface ofrevolution and surfaces with Monge patch in E3 to become self-similar. Further, we investigate self-similar surfaces in Euclidean 4-space E4: Additionally we give necessary and sufficient condition of spherical product surfaces and smooth surfaces given with the Monge patch in E4 to become self-similar.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/89
2013-01-01T00:00:00ZStatistical convergence of double sequences in probabilistic metric spacesDutta, KaustubhMalik, PrasantaMaity, Manojithttp://hdl.handle.net/123456789/106952018-05-18T00:01:36Z2013-01-01T00:00:00ZStatistical convergence of double sequences in probabilistic metric spaces
Dutta, Kaustubh; Malik, Prasanta; Maity, Manojit
In this paper we study the concepts of strongly statisticallyconvergent and strongly statistically Cauchy double sequences in a probabilisticmetric space endowed with the strong topology. We also introducethe notions of strong statistical limit points and cluster points of doublesequences and study some basic properties.
URL: http://sjam.selcuk.edu.tr/sjam/article/view/85
2013-01-01T00:00:00Z