Some properties of extended remainder of binet’s first formula for logarithm of gamma function [PDF]
Mathematica Slovaca, 2009 In the paper, we extend Binet’s first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet’s ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
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On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums [PDF]
Advances in Applied Clifford Algebras, 2016 Formulas and sums involving many well-known special quaternion sequences (such as the Fibonacci, Pell, Jacobsthal quaternion sequences and so on) play important roles in various branches of science. Binet formulas, generating functions and certain sums of these quaternion sequences based on Fibonacci-like numbers have been investigated by a number of ...
Ahmet İpek
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Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration [PDF]
Experimental Mathematics, 2018 We give an apparently new proof of Stirling’s original asymptotic formula for the behavior of for large z. Stirling’s original formula is not the formula widely known as “Stirling’s formula”, which was actually due to De Moivre.
Robert M Corless, Leili Rafiee Sevyeri
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A Unified Explicit Binet Formula for 3rd-Order Linear Recurrence Relations
Advances in Analysis and Applied MathematicsIn this paper, third order generalized linear recurrence relation Vn (aj , pj) = p1Vn−1 + p2Vn−2 + p3Vn−3, p3 ≠ 0, is studied to generate a generalized Tribonacci sequence, where pj , Vj = aj are arbitrary integers.
K. L. Verma
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Cauchy-Binet type formulas for Fredholm operators [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2017 Grażyna Ciecierska
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On an application of Binet’s second formula
Proceedings of the American Mathematical Society, 2017 Ruiming Zhang
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Matrix Representation of Bi-Periodic Pell Sequence [PDF]
Journal of Mahani Mathematical Research, 2023 In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers.
Sukran UYGUN, Ersen Akıncı
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A fórmula de Binet como modelo de generalização e extensão da sequência de Fibonacci a outros conceitos matemáticos [PDF]
CQD Revista Eletrônica Paulista de Matemática, 2017 Arlem Atanazio dos Santos +1 more
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On Hybrid Numbers with Gaussian Leonardo Coefficients
Mathematics, 2023 We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid
Nagihan Kara, Fatih Yilmaz
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Two generalizations of dual-complex Lucas-balancing numbers
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers.
Bród Dorota +2 more
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