Lita da Silva, João On some linear recurrences. (English) Zbl 1467.11014 Fibonacci Q. 58, No. 1, 73-79 (2020). MSC: 11B37 33C45 PDFBibTeX XMLCite \textit{J. Lita da Silva}, Fibonacci Q. 58, No. 1, 73--79 (2020; Zbl 1467.11014) Full Text: Link
Koshy, Thomas Differences of Gibonacci polynomial products of orders \(2, 3\), and \(4\). (English) Zbl 1448.11038 Fibonacci Q. 56, No. 3, 212-220 (2018). MSC: 11B39 11B37 33C45 PDFBibTeX XMLCite \textit{T. Koshy}, Fibonacci Q. 56, No. 3, 212--220 (2018; Zbl 1448.11038) Full Text: Link
Hirschhorn, Michael D.; Sinescu, Vasile Elementary algebra in Ramanujan’s lost notebook. (English) Zbl 1325.11118 Fibonacci Q. 51, No. 2, 123-129 (2013). MSC: 11R27 33C45 PDFBibTeX XMLCite \textit{M. D. Hirschhorn} and \textit{V. Sinescu}, Fibonacci Q. 51, No. 2, 123--129 (2013; Zbl 1325.11118) Full Text: Link
Deford, Daryl Counting rearrangements on generalized wheel graphs. (English) Zbl 1278.05126 Fibonacci Q. 51, No. 3, 259-267 (2013). MSC: 05C30 05C70 05A19 11B39 33C45 PDFBibTeX XMLCite \textit{D. Deford}, Fibonacci Q. 51, No. 3, 259--267 (2013; Zbl 1278.05126) Full Text: Link
Bacon, Michael R.; Cook, Charles K.; Hendel, Russell Jay Extending Freitag’s Fibonacci-like magic square to other dimensions. (English) Zbl 1244.05038 Fibonacci Q. 50, No. 2, 119-128 (2012). MSC: 05B15 11B39 11B83 PDFBibTeX XMLCite \textit{M. R. Bacon} et al., Fibonacci Q. 50, No. 2, 119--128 (2012; Zbl 1244.05038) Full Text: Link
Ismail, Mourad E. H. One parameter generalizations of the Fibonacci and Lucas numbers. (English) Zbl 1234.11016 Fibonacci Q. 46-47(2008/2009), No. 2, 167-180 (2009). MSC: 11B39 11D25 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Fibonacci Q. 46--47, No. 2, 167--180 (2009; Zbl 1234.11016) Full Text: arXiv
Zhang, Zhizheng; Wang, Jun On some identities involving the Chebyshev polynomials. (English) Zbl 1081.11008 Fibonacci Q. 42, No. 3, 245-249 (2004). Reviewer: Ali Benhissi (Monastir) MSC: 11B37 33C45 05A19 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Wang}, Fibonacci Q. 42, No. 3, 245--249 (2004; Zbl 1081.11008)
Zhang, Wenpeng On Chebyshev polynomials and Fibonacci numbers. (English) Zbl 1043.11017 Fibonacci Q. 40, No. 5, 424-428 (2002). Reviewer: Le Maohua (Zhanjiang) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{W. Zhang}, Fibonacci Q. 40, No. 5, 424--428 (2002; Zbl 1043.11017)
Lang, Wolfdieter On polynomials related to derivatives of the generating function of Catalan numbers. (English) Zbl 1009.11018 Fibonacci Q. 40, No. 4, 299-313 (2002). Reviewer: Timothy R.Walsh (Montreal) MSC: 11B83 05A19 05A10 33C45 PDFBibTeX XMLCite \textit{W. Lang}, Fibonacci Q. 40, No. 4, 299--313 (2002; Zbl 1009.11018)
Djordjević, Gospava B. On the generalized Laguerre polynomials. (English) Zbl 1010.33002 Fibonacci Q. 39, No. 5, 403-408 (2001). Reviewer: Ryszard Szwarc (Wrocław) MSC: 33C45 PDFBibTeX XMLCite \textit{G. B. Djordjević}, Fibonacci Q. 39, No. 5, 403--408 (2001; Zbl 1010.33002)
Lang, Wolfdieter On polynomials related to powers of the generating function of Catalan’s numbers. (English) Zbl 1050.11024 Fibonacci Q. 38, No. 5, 408-419 (2000). Reviewer: N. Robbins (San Francisco) MSC: 11B83 05A10 05A15 11B37 33C45 PDFBibTeX XMLCite \textit{W. Lang}, Fibonacci Q. 38, No. 5, 408--419 (2000; Zbl 1050.11024)
Swamy, M. N. S. Rising diagonal polynomials associated with Morgan-Voyce polynomials. (English) Zbl 0941.11010 Fibonacci Q. 38, No. 1, 61-70 (2000). Reviewer: I.Strazdins (Riga) MSC: 11B83 11B39 33C45 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 38, No. 1, 61--70 (2000; Zbl 0941.11010)
Swamy, M. N. S. Generalizations of modified Morgan-Voyce polynomials. (English) Zbl 0941.11009 Fibonacci Q. 38, No. 1, 8-16 (2000). Reviewer: I.Strazdins (Riga) MSC: 11B83 11B39 33C45 94C05 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 38, No. 1, 8--16 (2000; Zbl 0941.11009)
Strazdins, Indulis Sieve formulas for the generalized Fibonacci and Lucas numbers. (English) Zbl 0943.11012 Fibonacci Q. 37, No. 4, 361-366 (1999). Reviewer: József Sándor (Cluj-Napoca) MSC: 11B39 05A10 33C45 PDFBibTeX XMLCite \textit{I. Strazdins}, Fibonacci Q. 37, No. 4, 361--366 (1999; Zbl 0943.11012)
Swamy, M. N. S. Network properties of a pair of generalized polynomials. (English) Zbl 0940.11006 Fibonacci Q. 37, No. 4, 350-360 (1999). Reviewer: I.Strazdins (Riga) MSC: 11B39 11B83 33C45 94C05 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 37, No. 4, 350--360 (1999; Zbl 0940.11006)
Swamy, M. N. S. Generalized Fibonacci and Lucas polynomials and their associated diagonal polynomials. (English) Zbl 0940.11005 Fibonacci Q. 37, No. 3, 213-222 (1999). Reviewer: N.Robbins (San Francisco) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 37, No. 3, 213--222 (1999; Zbl 0940.11005)
Swamy, M. N. S. Brahmagupta’s theorems and recurrence relations. (English) Zbl 0914.11006 Fibonacci Q. 36, No. 2, 125-128 (1998). Reviewer: T.S.Bhanu Murthy (Madras) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 36, No. 2, 125--128 (1998; Zbl 0914.11006)
Swamy, M. N. S. On a class of generalized polynomials. (English) Zbl 0907.11007 Fibonacci Q. 35, No. 4, 329-334 (1997). Reviewer: J.Piehler (Merseburg) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{M. N. S. Swamy}, Fibonacci Q. 35, No. 4, 329--334 (1997; Zbl 0907.11007)
Grossman, George W. Fractal construction by orthogonal projection using the Fibonacci sequence. (English) Zbl 0882.11010 Fibonacci Q. 35, No. 3, 206-224 (1997). Reviewer: A.N.Philippou (Nicosia) MSC: 11B39 28A80 PDFBibTeX XMLCite \textit{G. W. Grossman}, Fibonacci Q. 35, No. 3, 206--224 (1997; Zbl 0882.11010)
Pla, Juan On the existence of couples of second-order linear recurrences with reciprocal representation properties for their Fibonacci sequences. (English) Zbl 0865.11019 Fibonacci Q. 34, No. 5, 409-412 (1996). Reviewer: J.Piehler (Merseburg) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{J. Pla}, Fibonacci Q. 34, No. 5, 409--412 (1996; Zbl 0865.11019)
Djordjević, Gospava On some properties of generalized Hermite polynomials. (English) Zbl 0838.33003 Fibonacci Q. 34, No. 1, 2-6 (1996). Reviewer: H.M.Srivastava (Victoria) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Djordjević}, Fibonacci Q. 34, No. 1, 2--6 (1996; Zbl 0838.33003)
André-Jeannin, Richard A note on a general class of polynomials. II. (English) Zbl 0832.11010 Fibonacci Q. 33, No. 4, 341-351 (1995). Reviewer: A.N.Philippou (Nicosia) MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{R. André-Jeannin}, Fibonacci Q. 33, No. 4, 341--351 (1995; Zbl 0832.11010)
Subramanian, P. R. Nonzero zeros of the Hermite polynomials are irrational. (English) Zbl 0837.33007 Fibonacci Q. 33, No. 2, 131-134 (1995). Reviewer: M.Wyneken (Flint) MSC: 33C45 30C15 PDFBibTeX XMLCite \textit{P. R. Subramanian}, Fibonacci Q. 33, No. 2, 131--134 (1995; Zbl 0837.33007)
Koutras, M. V. Eulerian numbers associated with sequences of polynomials. (English) Zbl 0791.05002 Fibonacci Q. 32, No. 1, 44-57 (1994). MSC: 05A10 05A15 11B73 33C45 PDFBibTeX XMLCite \textit{M. V. Koutras}, Fibonacci Q. 32, No. 1, 44--57 (1994; Zbl 0791.05002)
Kimberling, Clark Second-order Stolarsky arrays. (English) Zbl 0747.05014 Fibonacci Q. 29, No. 4, 339-342 (1991). Reviewer: S.Lajos (Budapest) MSC: 05B15 11B39 PDFBibTeX XMLCite \textit{C. Kimberling}, Fibonacci Q. 29, No. 4, 339--342 (1991; Zbl 0747.05014)
Subramanian, P. R. Springs of the Hermite polynomials. (English) Zbl 0722.33005 Fibonacci Q. 28, No. 2, 156-161 (1990). Reviewer: M.Wyneken (Flint) MSC: 33C45 PDFBibTeX XMLCite \textit{P. R. Subramanian}, Fibonacci Q. 28, No. 2, 156--161 (1990; Zbl 0722.33005)
Castellanos, Dario A generalization of Binet’s formula and some of its consequences. (English) Zbl 0689.10020 Fibonacci Q. 27, No. 5, 424-438 (1989). Reviewer: M. D. Hendy (Palmerston North) MSC: 11B39 11B68 33C45 PDFBibTeX XMLCite \textit{D. Castellanos}, Fibonacci Q. 27, No. 5, 424--438 (1989; Zbl 0689.10020)
Tauber, Selmo Some new results on quasi-orthogonal numbers. (English) Zbl 0681.10008 Fibonacci Q. 27, No. 3, 194-200 (1989). Reviewer: I.Sandor MSC: 11B39 11B37 PDFBibTeX XMLCite \textit{S. Tauber}, Fibonacci Q. 27, No. 3, 194--200 (1989; Zbl 0681.10008)
Dilcher, Karl A generalization of Fibonacci polynomials and a representation of Gegenbauer polynomials of integer order. (English) Zbl 0635.33007 Fibonacci Q. 25, 300-303 (1987). Reviewer: M.Wyneken MSC: 33C45 11B37 11B39 05A19 PDFBibTeX XMLCite \textit{K. Dilcher}, Fibonacci Q. 25, 300--303 (1987; Zbl 0635.33007)
Milovanović, G. V.; Djordjević, G. On some properties of Humbert’s polynomials. (English) Zbl 0635.33006 Fibonacci Q. 25, 356-360 (1987). MSC: 33C45 11B39 05A15 11B37 39A70 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{G. Djordjević}, Fibonacci Q. 25, 356--360 (1987; Zbl 0635.33006)
Boscarol, Mauro A note on binomial coefficients and Chebyshev polynomials. (English) Zbl 0578.10017 Fibonacci Q. 23, 166-168 (1985). Reviewer: Dumitru Acu (Sibiu) MSC: 11B65 05A10 05A19 33C45 PDFBibTeX XMLCite \textit{M. Boscarol}, Fibonacci Q. 23, 166--168 (1985; Zbl 0578.10017)
Pethe, S. On Lucas fundamental functions and Chebyshev polynomial sequences. (English) Zbl 0553.10012 Fibonacci Q. 23, 57-65 (1985). Reviewer: A. Huťa jun MSC: 11B39 33C45 11B37 PDFBibTeX XMLCite \textit{S. Pethe}, Fibonacci Q. 23, 57--65 (1985; Zbl 0553.10012)
Walton, J. E.; Horadam, A. F. Generalized Pell polynomials and other polynomials. (English) Zbl 0546.10009 Fibonacci Q. 22, 336-339 (1984). MSC: 11B39 11B37 33C45 33B10 PDFBibTeX XMLCite \textit{J. E. Walton} and \textit{A. F. Horadam}, Fibonacci Q. 22, 336--339 (1984; Zbl 0546.10009)
Al-Salam, Nadhla A. Some operational formulas for the q-Laguerre polynomials. (English) Zbl 0537.33006 Fibonacci Q. 22, 166-170 (1984). Reviewer: H.Exton MSC: 33C45 33C05 44A45 PDFBibTeX XMLCite \textit{N. A. Al-Salam}, Fibonacci Q. 22, 166--170 (1984; Zbl 0537.33006)
Cohen, M. E.; Sun, H. S. On some extensions of the Meixner-Weisner generating functions. (English) Zbl 0482.05011 Fibonacci Q. 19, 422-425 (1981). MSC: 05A15 33C45 PDFBibTeX XMLCite \textit{M. E. Cohen} and \textit{H. S. Sun}, Fibonacci Q. 19, 422--425 (1981; Zbl 0482.05011)
Horadam, A. F.; Pethe, S. Polynomials associated with Gegenbauer polynomials. (English) Zbl 0477.10013 Fibonacci Q. 19, No. 5, 393-398 (1981). Reviewer: A. F. Horadam (Armidale, N.S.W.) MSC: 11B83 11B37 11B39 33C45 05A15 PDFBibTeX XMLCite \textit{A. F. Horadam} and \textit{S. Pethe}, Fibonacci Q. 19, 393--398 (1981; Zbl 0477.10013) Full Text: Link
Kimberling, Clark Four composition identities for Chebyshev polynomials. (English) Zbl 0446.33019 Fibonacci Q. 18, 353-369 (1980). MSC: 33C45 11B39 PDFBibTeX XMLCite \textit{C. Kimberling}, Fibonacci Q. 18, 353--369 (1980; Zbl 0446.33019)
Kimberling, Clark Mixing properties of mixed Chebyshev polynomials. (English) Zbl 0446.33018 Fibonacci Q. 18, 334-341 (1980). MSC: 33C45 28D05 11B39 PDFBibTeX XMLCite \textit{C. Kimberling}, Fibonacci Q. 18, 334--341 (1980; Zbl 0446.33018)
Ainsworth, O. R. A property of quasi-orthogonal polynomials. (English) Zbl 0438.33010 Fibonacci Q. 18, 163-165 (1980). MSC: 33C45 11B37 PDFBibTeX XMLCite \textit{O. R. Ainsworth}, Fibonacci Q. 18, 163--165 (1980; Zbl 0438.33010)
Mullen, Gary L. Local permutation polynomials in three variables over \(\mathbb{Z}_p\). (English) Zbl 0438.12009 Fibonacci Q. 18, 208-214 (1980). MSC: 11T06 05B15 PDFBibTeX XMLCite \textit{G. L. Mullen}, Fibonacci Q. 18, 208--214 (1980; Zbl 0438.12009)
Mullen, Gary L. Local permutation polynomials over \(\mathbb{Z}\). (English) Zbl 0427.12017 Fibonacci Q. 18, 104-108 (1980). MSC: 11T06 05B15 PDFBibTeX XMLCite \textit{G. L. Mullen}, Fibonacci Q. 18, 104--108 (1980; Zbl 0427.12017)
Horadam, A. F. Chebyshev and Fermat polynomials for diagonal functions. (English) Zbl 0419.10013 Fibonacci Q. 17, 328-333 (1979). MSC: 11B37 11B39 33C45 PDFBibTeX XMLCite \textit{A. F. Horadam}, Fibonacci Q. 17, 328--333 (1979; Zbl 0419.10013)
Hoggatt, V. E. jun.; Bicknell-Johnson, Marjorie A primer for the Fibonacci numbers XVII: Generalized Fibonacci numbers satisfying \(u_{n+1}u_{n-1}-u^2_n=\pm 1\). (English) Zbl 0388.10008 Fibonacci Q. 16, 130-137 (1978). MSC: 11B37 11D04 11B39 33C45 PDFBibTeX XMLCite \textit{V. E. Hoggatt jun.} and \textit{M. Bicknell-Johnson}, Fibonacci Q. 16, 130--137 (1978; Zbl 0388.10008)
Hoggatt, V. E. jun.; Bicknell-Johnson, Marjorie Numerator polynomial coefficient arrays for Catalan and related sequence convolution triangles. (English) Zbl 0366.05013 Fibonacci Q. 15, 30-34 (1977). MSC: 05B15 05A15 11B39 PDFBibTeX XMLCite \textit{V. E. Hoggatt jun.} and \textit{M. Bicknell-Johnson}, Fibonacci Q. 15, 30--34 (1977; Zbl 0366.05013)
Horadam, A. F. Polynomials associated with Chebyshev polynomials of the first kind. (English) Zbl 0365.33007 Fibonacci Q. 15, 255-257 (1977). MSC: 33C45 11B39 05A15 PDFBibTeX XMLCite \textit{A. F. Horadam}, Fibonacci Q. 15, 255--257 (1977; Zbl 0365.33007)
Bergum, Gerald E.; Wagner, William J.; Hoggatt, V. E. jun. Chebyshev polynomials and related sequences. (English) Zbl 0299.33010 Fibonacci Q. 13, 19-24 (1975). MSC: 33C45 11B39 05A15 PDFBibTeX XMLCite \textit{G. E. Bergum} et al., Fibonacci Q. 13, 19--24 (1975; Zbl 0299.33010)
Jaiswal, D. V. On polynomials related to Tchebichef polynomials of the second kind. (English) Zbl 0292.10012 Fibonacci Q. 12, 263-265 (1974). MSC: 11B37 33C45 11B39 PDFBibTeX XMLCite \textit{D. V. Jaiswal}, Fibonacci Q. 12, 263--265 (1974; Zbl 0292.10012)
Freitag, Herta T. A magic square involving Fibonacci numbers. (English) Zbl 0153.32901 Fibonacci Q. 6, 77-80 (1968). MSC: 11B39 05B15 PDFBibTeX XMLCite \textit{H. T. Freitag}, Fibonacci Q. 6, 77--80 (1968; Zbl 0153.32901) Full Text: Link
Byrd, Paul F. Expansion of analytic functions in terms involving Lucas numbers or similar number sequences. (English) Zbl 0278.33016 Fibonacci Q. 3, 101-114 (1965). MSC: 33C45 11B37 PDFBibTeX XMLCite \textit{P. F. Byrd}, Fibonacci Q. 3, 101--114 (1965; Zbl 0278.33016)
Gould, H. W. Fibonacci exponentials and generalizations of Hermite polynomials. (English) Zbl 0147.02104 Fibonacci Q. 1, No. 4, 31-34 (1963). Reviewer: H. J. Duparc MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{H. W. Gould}, Fibonacci Q. 1, No. 4, 31--34 (1963; Zbl 0147.02104)