Recurrence Relation
Complete Asymptotic Analysis of a Nonlinear Recurrence Relation with Threshold Control
... We consider a three-term nonlinear recurrence relation involving a nonlinear filtering function with a positive threshold λ. We work out a complete asymptotic analysis for all solutions of this equation ...
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On the Extension of the Three Term Recurrence Relation to Probabilities Distributions without Moments
... three-term recurrence relation for orthogonal polynomials associated with a probability distribution having a finite moment of all orders to a class of orthogonal functions associated with an infinitely di- ...
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A Determinantal Expression and a Recurrence Relation for the Euler Polynomials
... Abstract. In the paper, by a very simple approach, the author establishes an expression in terms of a lower Hessenberg determinant for the Euler polyno- mials. By the determinantal expression, the author finds a ...
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Closed form solution of a general three term recurrence relation
... different recurrence relations, but, particularly for the solution of the canonical three-term recurrence relation it is sufficient to use a particular case of the R-sum, namely the reduced R-sum, which ...
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Decomposition of Triangular Toeplitz Matrices Leading to Recurrence Relation
... In terms of computational cost, this factorization is just arranging a given triangular Toeplitz matrix as a product of factors typically illustrated in (3.5) which is also a recurrence relation. The ...
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Associated Rational Functions based on a Three-term Recurrence Relation for Orthogonal Rational Functions
... function with n poles outside S that is orthonormal with re- spect to a positive normalized measure µ on S. Under certain conditions on the poles, these ORFs satisfy a three-term recur- rence relation too. ...
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Recurrence Relation for Achromatic Number of Line Graph of Graph
... This has become possible to get two different colour edges at a common vertex of Γ and is ∆ due to bipartition The edges through y, orange and red inside Γ and ∆ are going to be of some [r] ...
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Periodicity and Solution of Rational Recurrence Relation of Order Six
... Simsek, “On Positive Solutions of the Difference Equation xn1 xn5 1 xn2 xn5 ,” International Journal of Contemporary Mathematical Sciences, Vol.. Ibrahim, “Global Asymptotic S[r] ...
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Closed Forms for Derangement Numbers in Terms of the Hessenberg Determinants
... a recurrence relation of derangement numbers, present a formula for any higher order derivative of the exponential generating function of derangement numbers, and compute some related Hessenberg and ...
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Staircase Method: A Novel Method for Parallelizing S W Algorithm
... Given two sequences, and for and , the Similarity Matrix is built by applying the following recurrence relation: 1 The task of parallel pairwise sequence alignment of biological sequence[r] ...
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A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... such as collocation, Galerkin, etc., for set- ting up the recurrence relation. The method is fast and the running times of its algorithm, even for high degrees of approximation, are very short. This is due ...
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Binomial type sums
... Finite differences may be used to determine a specific polynomial, however the following procedure establishes a recurrence relation to determine the values of ~+i (m) in (21)... ([r] ...
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On a Special Quaternionic Sequence
... Furthermore, we calculate the autocorrelation, right and left periodic autocorrelation values by using the elements of the newly defined sequence.. Keywords Recurrence Relation, Special [r] ...
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ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION
... We conclude this paper with the remark that the addition theorem, expansions formula, integral representations and recurrence relation are investigated in this paper, can provide number of new results ...
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The Number of Fuzzy Subgroups of a finite Dihedral $D_{p^m q^n}$
... a recurrence relation for the number of distinct fuzzy subgroups of dihedral group and solve this recurrence relation by using the concept which was already used by T ă rn ă uceanu and Bentea ...
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Design of optimal transfers between North and South Pole-sitter orbits
... The mass profile at the ith node is then approximated through the following recurrence relation that assumes a constant thrust magnitude during the time in between two consecutive nodes,[r] ...
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Impact of network density on cascade size and community growth
... a recurrence relation model that describes the retweet diffusion and community growth dynamics, in which one dom- inant user (initiator) with a large number of followers posts a tweet, then retweets by ...
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Vol 2, No 4 (2011)
... The neighbourhood set, the split neighbourhood sets of a graph are considered using a recurrence relation, we give the number of all neighbourhood sets mentioned for the graphs P n [r] ...
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Approximations of the generalized Euler constant function and the generalized Somos’ quadratic recurrence constant
... a recurrence relation for those coefficients. Using its relation with the generalized-Euler-constant function, we establish two inequalities for the generalized Somos’ ...
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Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function
... The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and ...
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