On Pell Quaternions and Pell-Lucas Quaternions
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Akyigit M., Kösal H.H., Tosun M.: Split Fibonacci quaternions. Adv. Appl. Clifford Algebr. 23, 535–545 (2013)
Cerin Z., Gianella G.M.: On sums of Pell numbers. Acc. Sc. Torino-Atti Sc. Fis. 141, 23–31 (2007)
Cerin, Z., Gianella, G.M.: On sums of squares of Pell-Lucas numbers. Integers Electron. J. Comb. Number Theory 6, #A15,1–16 (2006)
Everest, G., Ward, T.: An introduction to number theory. In: Graduate Texts in Mathematics, Springer, London (2005)
Filipponi P., Horadam A.F.: Real Pell and Pell-Lucas numbers with real subscripts. Fibonacci Quart. 33, 5 (1995)
Flaut C., Shpakivskyi V.: On generalized Fibonacci quaternions and Fibonacci–Narayana quaternions. Adv. Appl. Clifford Algebr. 23(3), 673–688 (2013)
Güren, I.A., Nurkan, S.K.: A new approach to Fibonacci, Lucas numbers and dual vectors. Adv. Appl. Clifford Algebr. doi: 10.1007/s00006-014-0516-7
Gürlebeck, K., Sprössig, W.: Quaternionic and Clifford Calculus for Physicists and Engineers. Wiley, New York (1997)
Hoggatt, V.E.: Fibonacci and Lucas numbers. In: A publication of the Fibonacci Association. University of Santa Clara, Santa Clara. Houghton Mifflin Company (1969)
Horadam A.F.: Complex Fibonacci numbers and Fibonacci quaternions. Am. Math. Mon. 70, 289–291 (1963)
Horadam A.F.: Pell identities. Fibonacci Quart. 9, 245252 (1971)
Horadam A.F.: Quaternion recurrence relations. Ulam Quart. 2(2), 23–33 (1993)
Iyer M.R.: A note on Fibonacci quaternions. Fibonacci Quart. 3, 225–229 (1969)
Niederreiter, H., Spanier, J. (eds.): Monte Carlo and Quasi-Monte Carlo Methods, vol. 1998. Springer, Berlin (2000)
Nurkan, S.K., Güren, I.A.: Dual Fibonacci quaternions. Adv. Appl. Clifford Algeb. doi: 10.1007/s00006-014-0488-7
Swamy M.N.S.: On generalized Fibonacci quaternions. Fibonacci Quat. 11(5), 547–549 (1973)
Vajda, S.: Fibonacci and Lucas numbers and the Golden section. Ellis Horwood Limited Publ., England (1989)