Bivariate Fibonacci polynomials of order k with statistical applications
Annals of the Institute of Statistical Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Inoue, Kiyoshi, Aki, Sigeo
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Some Properties Of Bivariate Gaussian Fibonacci And Lucas p-Polynomials.
Ars Comb., 2018 In this paper we define and study the bivariate Gaussian Fibonacci and Gaussian Lucas p-polynomials involving some interesting results and matrix representations. We give generating functions, combinatorial interpretations, and sum formulas.
Gürel, Eşref, Asci, M.
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Shifting property and other binomial identities for the bivariate Fibonacci polynomials.
Bull. ICA, 2018 We obtain the "shifting property" and some other combinatorial identities for the bivariate Fibonacci polynomials (which generalize the Fibonacci, Pell, Jacobsthal, Chebyschev, Fermat, Morgav-Voyce polynomials and the Horadam numbers). In particular, we specialize all these identities to the Chebyshev polynomials of the second kind.
E. Munarini
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GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS
, 2015 The main object of this study is to derive various families of multilinear and multilateral generating functions for the generalized bivariate Fibonacci and Lucas polynomials. Furthermore, we discuss some critical connections between the generalized bivariate Fibonacci, Lucas polynomials and the well-known polynomials and numbers, such as, bivariate ...
TUĞLU, NAİM, Erkus-Duman, ESRA
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Coefficient Estimate Problems For A New Subclass of Bi-univalent Functions Linked with the Generalized Bivariate Fibonacci-Like Polynomial [PDF]
Journal of Engineering Technology and Applied SciencesIn this article, using the definition of generalized bivariate Fibonacci-like polynomials that include Horadam and Chebyshev polynomials a novel subclass of bi-univalent functions are introduced. Then, some bounds are determined for the initial Taylor-Maclaurin coefficients of the functions belonging to this new subclass. Further, the well-known Fekete-
Hasan Hüseyin Güleç, İbrahim Aktaş
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Binomial Identities Involving the Generalized Fibonacci Type Polynomials [PDF]
, 2011 We present some binomial identities for sums of the bivariate Fibonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic ...
Irmak, Nurettin, Kılıç, Emrah
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Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
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Coefficient bounds for the functions and inverse functions in the newly constructed subclass of bi-univalent functions [PDF]
Mathematica BohemicaWe introduce a novel subclass of bi-univalent functions with respect to symmetric points using generalized bivariate Fibonacci polynomials. Then we determine certain bounds for the initial coefficients of Maclaurin expansion of the functions belonging to
Gülizar Aşır, İbrahim Aktaş
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Incomplete k‐Fibonacci and k‐Lucas Numbers
Chinese Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 We define the incomplete k‐Fibonacci and k‐Lucas numbers; we study the recurrence relations and some properties of these numbers.
José L. Ramírez +2 more
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EHA2021 Virtual Congress Abstract Book
, 2021 HemaSphere, Volume 5, Issue S2, June 2021.
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