Fibonacci polynominals of order k, multinomial expansions and probability

Fibonacci polynominals of order k, multinomial expansions and probability

The Fibonacci polynomials of order k are introduced and two expansions of them are obtained, in terms of the multinomial and binomial coefficients, respectively. A relation between them and probability is also established. The present work generalizes results of [2] - [4] and [5].

Chi tiết về thư mục
Những tác giả chính:	Andreas N. Philippou, Costas Georghiou, George N. Philippou
Định dạng:	Bài viết
Ngôn ngữ:	English
Được phát hành:	Wiley 1983-01-01
Loạt:	International Journal of Mathematics and Mathematical Sciences
Những chủ đề:	Fibonacci polynomials of order k expansions multinomial and binomial coefficients probability.
Truy cập trực tuyến:	http://dx.doi.org/10.1155/S0161171283000496

Những quyển sách tương tự

Some new results for the generalized bivariate Fibonacci and Lucas polynomials
Bằng: Yılmaz Nazmıye
Được phát hành: (2024-01-01)

Three new classes of binomial Fibonacci sums
Bằng: Robert Frontczak
Được phát hành: (2024-11-01)

Cubic binomial Fibonacci sums
Bằng: Kunle Adegoke, et al.
Được phát hành: (2021-12-01)

A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL
Bằng: A. D. Godase, et al.
Được phát hành: (2017-11-01)

Binomial Sum Relations Involving Fibonacci and Lucas Numbers
Bằng: Kunle Adegoke, et al.
Được phát hành: (2023-11-01)

An Alternating Sum of Fibonacci and Lucas Numbers of Order <i>k</i>
Bằng: Spiros D. Dafnis, et al.
Được phát hành: (2020-09-01)

On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations
Bằng: Can Kızılateş, et al.
Được phát hành: (2024-04-01)

Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers
Bằng: Yulei Chen, et al.
Được phát hành: (2024-03-01)

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Bằng: Dongwei Guo, et al.
Được phát hành: (2022-07-01)

ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
Bằng: Nihal Yılmaz Özgür, et al.
Được phát hành: (2015-08-01)

Vieta's triangular array and a related family of polynomials
Bằng: Neville Robbins
Được phát hành: (1991-01-01)

On Convolved Fibonacci Polynomials
Bằng: Waleed Mohamed Abd-Elhameed, et al.
Được phát hành: (2024-12-01)

Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Bằng: Arzu Özkoç Öztürk, et al.
Được phát hành: (2018-03-01)

The Multinomial Logistic Model for the Case in which the Response Variable Can Assume One of Three Levels and Related Models El modelo logístico multinomial para el caso en que la variable de respuesta puede asumir uno de tres niveles y modelos relacionados
Bằng: CARLOS CARREÑO, et al.
Được phát hành: (2012-01-01)

Applications of Fibonacci numbers : proceedings of the Third International Conference on Fibonacci Numbers and Their Applications, Pisa, Italy, July 25-29, 1988 /
Bằng: International Conference on Fibonacci Numbers and Their Applications (3rd : 1988 : Pisa, Italy), et al.
Được phát hành: (1988)

Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
Bằng: Yuankui Ma, et al.
Được phát hành: (2018-12-01)

Error detection and correction for coding theory on k-order Gaussian Fibonacci matrices
Bằng: Suleyman Aydinyuz, et al.
Được phát hành: (2023-01-01)

The Binomials and Multinomials in two English Translations of the Lotus Sutra (Chapter Two)
Bằng: Zhao Qian
Được phát hành: (2021-12-01)

Applications of fibonacci numbers : proceedings of the Sixth International Research Conference on Fibonacci Numbers and Their Applications, Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994 /
Bằng: International Conference on Fibonacci Numbers and Their Applications (6th : 1994 : Pullman, Washington), et al.
Được phát hành: (1996)

Expansions of distributions in terms of generalized heat polynominals and their Appell transforms
Bằng: R. S. Pathak, et al.
Được phát hành: (1980-01-01)

Applications of Fibonacci numbers : proceedings of the Fourth International Conference on Fibonacci Numbers and Their Applications, Wake Forest University, N.C., U.S.A., July 30 - August 3, 1990 /
Bằng: International Conference on Fibonacci Numbers and Their Applications (4th : 1990 : Wake Forest University, North Carolina), et al.
Được phát hành: (1990)

Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials
Bằng: Farshid Mirzaee, et al.
Được phát hành: (2014-03-01)

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals
Bằng: Waleed Mohamed Abd-Elhameed, et al.
Được phát hành: (2022-07-01)

On the finite reciprocal sums of Fibonacci and Lucas polynomials
Bằng: Utkal Keshari Dutta, et al.
Được phát hành: (2019-10-01)

Computing the exact distributions of some functions of the ordered multinomial counts: maximum, minimum, range and sums of order statistics
Bằng: Marco Bonetti, et al.
Được phát hành: (2019-10-01)

Some Families of Apéry-Like Fibonacci and Lucas Series
Bằng: Robert Frontczak, et al.
Được phát hành: (2021-07-01)

Fibonacci sums and divisibility properties
Bằng: Kunle Adegoke, et al.
Được phát hành: (2023-12-01)

On the k-Fibonacci words
Bằng: Ramírez Jósé L., et al.
Được phát hành: (2013-12-01)

VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL
Bằng: Ashok Dnyandeo Godase, et al.
Được phát hành: (2017-07-01)

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
Bằng: Taekyun Kim, et al.
Được phát hành: (2018-06-01)

Characteristic polynomials of some min and max matrices
Bằng: Wei Xie
Được phát hành: (2024-01-01)

A Note on Generalized <i>k</i>-Order F&L Hybrinomials
Bằng: Süleyman Aydınyüz, et al.
Được phát hành: (2025-01-01)

A Query Expansion Method Using Multinomial Naive Bayes
Bằng: Sergio Silva, et al.
Được phát hành: (2021-11-01)

Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence
Bằng: Kılıç Emrah, et al.
Được phát hành: (2016-12-01)

On the Parity of the Order of Appearance in the Fibonacci Sequence
Bằng: Pavel Trojovský
Được phát hành: (2021-08-01)

The (exponential) multipartitional polynomials and polynomial sequences of multinomial type, Part II
Bằng: Hacène Belbachir, et al.
Được phát hành: (2015-01-01)

An Efficient Numerical Solution of a Multi-Dimensional Two-Term Fractional Order PDE via a Hybrid Methodology: The Caputo–Lucas–Fibonacci Approach with Strang Splitting
Bằng: Imtiaz Ahmad, et al.
Được phát hành: (2024-06-01)

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
Bằng: Maryam Salem Alatawi, et al.
Được phát hành: (2024-03-01)

Gauss’ Second Theorem for <inline-formula><math display="inline"><semantics><mrow><mmultiscripts><mi>F</mi><mn>1</mn><none/><mprescripts/><mn>2</mn><none/></mmultiscripts><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>-Series and Novel Harmonic Series Identities
Bằng: Chunli Li, et al.
Được phát hành: (2024-05-01)

Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions
Bằng: Firdous A. Shah, et al.
Được phát hành: (2021-05-01)