Results 171 to 180 of about 619 (209)

Activation mapping in multi-center rat sensory-evoked functional MRI datasets using a unified pipeline

open access: yes
Galteau ME   +50 more
europepmc   +1 more source

Lengths of Roots of Polynomials in a Hahn Field

Algebra and Logic, 2021
Let K be an algebraically closed field of characteristic 0, and let G be a divisible ordered Abelian group. Maclane [Bull. Am. Math. Soc., 45, 888-890 (1939)] showed that the Hahn field K((G)) is algebraically closed. Our goal is to bound the lengths of roots of a polynomial p(x) over K((G)) in terms of the lengths of its coefficients.
K. Lange, Julia F. Knight
openaire   +2 more sources

On the Hahn Polynomials

SIAM Journal on Mathematical Analysis, 1970
The Hahn Polynomials are discrete analogues of the Jacobi polynomials. Here we try to ascertain the depth of the analogy, by examining the relation between these two sets. We also obtain bounds on the integral of the Hahn polynomial which corresponds to the Legendre polynomial.
openaire   +2 more sources

Stable Computation of Hahn Polynomials for Higher Polynomial Order

2020 International Conference on Intelligent Systems and Computer Vision (ISCV), 2020
In this paper, we propose a new algorithm for computing Hahn polynomial coefficients (HPCs) for higher polynomial order, which greatly reduces the spread of numerical defects associated with Hahn polynomials (HPs) using conventional methods. The proposed method is used to reconstruct large 2D images.
Mhamed Sayyouri   +3 more
openaire   +2 more sources

Associated Continuous Hahn Polynomials

Canadian Journal of Mathematics, 1991
AbstractExplicit solutions to the recurrence relation for associated continuous Hahn polynomials are derived using 3F2 contiguous relations. These solutions are used to obtain a new continued fraction and the associated absolutely continuous measure. An exceptional case is shown to yield entry 33 in Chapter 12 of Ramanujan's second notebook.
Dharma P. Gupta   +2 more
openaire   +2 more sources

Continuous Hahn polynomials

Journal of Mathematical Physics, 1993
Continuous Hahn polynomials Sn(x) appear in a formulation of quantum mechanics on a discrete time lattice, where they form a natural basis for the state vectors. In this paper we derive some of their generating functions, the expression of the raising and lowering operators and give a lower bound for the largest root of the equation Sn(x)=0.
openaire   +2 more sources

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