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On Some Combinatorial Properties of P (r, n)-Pell Quaternions


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[1] BRÓD, D.: On a new one parameter generalization of Pell numbers, Ann. Math. Sil. 33 (2019), 66–76.Search in Google Scholar

[2] CATARINO, P.: On some identities and generating functions for k-Pell numbers,Int.J. Math. Anal. 7 (2013), no. 38, 1877–1884.Search in Google Scholar

[3] CATARINO, P.—VASCO, P.: Some basic properties and a two-by-two matrix involving the k-Pell numbers, Int.J.Math. Anal. 7 (2013), no. 45, 2209–2215.Search in Google Scholar

[4]ÇIMEN, C.B.—İPEK, A.: On Pell Quaternions and Pell-Lucas Quaternions, Adv. Appl. Clifford Algebr. 26 (2016), 39–51.10.1007/s00006-015-0571-8Search in Google Scholar

[5] HALICI, S.: On Fibonacci quaternions, Adv. Appl. Clifford Algebr. 22 (2012), 321–327.10.1007/s00006-011-0317-1Search in Google Scholar

[6] HORADAM, A. F.: Complex Fibonacci numbers and Fibonacci quaternions,Amer. Math. Monthly 70 (1963), 289–291.10.2307/2313129Search in Google Scholar

[7] HORADAM, A. F.: Pell identities, Fibonacci Quart. 9 (1971), no. 3, 245–252, 263.Search in Google Scholar

[8] HORADAM, A. F.: Quaternion recurrence relations,Ulam Quart. 2 (1993), no. 2, 11 pp. (Electronic only)Search in Google Scholar

[9] IYER, M. R.: A note on Fibonacci quaternions, Fibonacci Quart. 3 (1969), 225–229.Search in Google Scholar

[10] KOÇER, E. G.—TUĞLU, N.: The Binet formulas for the Pell and Pell-Lucas p-numbers, Ars Comb. 85 (2007), 3–17.Search in Google Scholar

[11] PIEJKO, K.— W LOCH, I.: On k-distance Pell numbers in 3-edge coloured graphs,J. Appl. Math. 2014, Article 428020, 6 pp.10.1155/2014/428020Search in Google Scholar

[12] SZYNAL-LIANA, A.—W LOCH, I.: A note on Jacobsthal quaternions, Adv. Appl. Clifford Algebr. 26 (2016), 441–447.10.1007/s00006-015-0622-1Search in Google Scholar

[13] SZYNAL-LIANA, A.—W LOCH, I.: The Pell Quaternions and the Pell Octonions,Adv. Appl. Clifford Algebr. 26 (2016), 435–440.10.1007/s00006-015-0570-9Search in Google Scholar

[14] WARD, J. P.: Quaternions and Cayley Numbers: Algebra and Applications. Mathematics and its Applications Vol. 403, Kluwer Academic Publishers Group, Dordrecht, 1997.Search in Google Scholar

eISSN:
1210-3195
Sprache:
Englisch
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3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines