Results 1 to 10 of about 4,091,594 (313)
On the constant coefficients of a certain recurrence relation: A simple proof. [PDF]
Heliyon, 2021 In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence.
Anđelić M, da Fonseca CM.
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Active oscillator: Recurrence relation approach [PDF]
The Physics of Fluids, 2023 The present work analyzes stationary distributions of active Brownian particles in a harmonic trap. Generally, obtaining stationary distributions for this system is non-trivial, and to date, no exact expressions are available.
D. Frydel
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An ubiquitous three-term recurrence relation [PDF]
Journal of Mathematics and Physics, 2021 We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under suitable truncation, yields exact ...
P. Amore, F. Fernández
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A generalization of the array type polynomials [PDF]
Mathematica Moravica, 2022 We introduce a generalization of the array type polynomials by using two specific generating functions and investigate some of its basic properties in the sequel. A recurrence relation and two summation formulas involving these polynomials are also given.
Masjed-Jamei Mohammad +2 more
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On Global Convergence of Third-Order Chebyshev-Type Method under General Continuity Conditions
Fractal and Fractional, 2022 There are very few papers that talk about the global convergence of iterative methods with the help of Banach spaces. The main purpose of this paper is to discuss the global convergence of third order iterative method.
Fouad Othman Mallawi +2 more
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Some New Families of Finite Orthogonal Polynomials in Two Variables
Axioms, 2023 In this paper, we generalize the study of finite sequences of orthogonal polynomials from one to two variables. In doing so, twenty three new classes of bivariate finite orthogonal polynomials are presented, obtained from the product of a finite and an ...
Esra Güldoğan Lekesiz, Iván Area
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Identities for Fibonacci and Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper several new identities are given for the Fibonacci and Lucas numbers. This is accomplished by by solving a class of non-homogeneous, linear recurrence relations.
George Grossman +2 more
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Applied Mathematics in Science and Engineering, 2022 A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
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Fractal and Fractional, 2023 This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
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Nested Catalan tables and a recurrence relation in noncommutative quantum field theory [PDF]
Annales de l'Institut Henri Poincaré D, 2019 Correlation functions in a dynamic quartic matrix model are obtained from the two-point function through a recurrence relation. This paper gives the explicit solution of the recurrence by mapping it bijectively to a two-fold nested combinatorial ...
J. D. Jong +2 more
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