CD Tesis

Hubungan Matriks Polinomial Bernoulli Dan Matriks K-Fibonacci

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The k-Fibonacci sequences have first term is 0, the second term is 1, and
the next term depends on a positive integer k. The k-Fibonacci numbers can
represented as a k-Fibonacci matrix denoted by Fn(k). Then, the Bernoulli’s
number and the Bernoulli polynomial can also be represented as the matrix and
denoted by Bn and Bn(x). In this thesis, the new matrices of multiplication of
the Bernoulli’s matrix and the k-Fibonacci matrix are defined, they are Rn
and Sn matrices that can be expressed as Bn = Fn(k)Rn = SnFn(k). Also,
relation between Bernoulli’s polynomial matrix and the k-Fibonacci matrix
are discussed. From multiplication of the Bernoulli’s polynomial matrix and
the k-Fibonacci matrix, Cn(x) and Dn(x) matrices are obtained, such that
obtained Bn(x) = Fn(k)Cn(x) = Dn(x)Fn(k). Furthermore, the teaching of
Bernoulli’s polynomials and construction of matrix of size 5×5 are given, where
each entry is a Bernoulli’s polynomial.
Keywords: Bernoulli’s number, Bernoulli’s polynomial, Bernoulli’s polynomial
matrix, k-Fibonacci matrix

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15 220 (0015)

Penerbit

Pekanbaru : Universitas Riau – Pascasarjana – Tesis Matematika., 2020

Deskripsi Fisik

xii, 51 hlm,; ill.: 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15 220 (0015)

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

FATAH

Versi lain/terkait

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