Results 1 to 10 of about 163 (37)
Efficient estimate of the remainder for the Dirichlet function η(p) for p ∈ R+ [PDF]
For any k,n,q ∈N, where n≥ 2k+1≥ 3, and p ∈R+ the nth remainder ρ(n, p) of the Dirichlet eta function η(p), known also as the alternating Riemann zeta function, η(p) := ∞ ∑ i=1 (−1)i+1 1 ip , is given in the form ρ(n, p) = ∆q(n, p)+δq(k, p), where k and ...
V. Lampret
semanticscholar +3 more sources
Approximations related to the complete p-elliptic integrals
In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations ...
Zhong Genhong, Ma Xiaoyan, Wang Fei
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The agreement between novel exact and numerical solutions of nonlinear models
Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
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In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
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Approximate closed-form formulas for the zeros of the Bessel Polynomials [PDF]
We find approximate expressions x(k,n) and y(k,n) for the real and imaginary parts of the kth zero z_k=x_k+i y_k of the Bessel polynomial y_n(x). To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex ...
Calderon, Marisol L., Campos, Rafael G.
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An advanced variant of an interpolatory graphical display algorithm [PDF]
In this paper an advanced interpolatory graphical display algorithm based on cardinal B-spline functions is provided. It is well-known that B-spline functions are a flexible tool to design various scale rapresentations of a signal.
ALA, Guido +4 more
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A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric [PDF]
We derive a numerical algorithm for evaluating the Riemannian logarithm on the Stiefel manifold with respect to the canonical metric. In contrast to the existing optimization-based approach, we work from a purely matrix-algebraic perspective.
Zimmermann, Ralf
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In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM).
Sandoval-Hernandez Mario A. +3 more
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Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative [PDF]
We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given.
Almeida, R. +2 more
core +4 more sources
Fractional order optimal control problems with free terminal time [PDF]
We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free.
A. A. Kilbas +23 more
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