Results 141 to 150 of about 2,628 (194)

A superior coherent perfect absorber and laser constructed from the periodic ring optical waveguide network based on extremum spontaneous PT-symmetric breaking points. [PDF]

Sci Rep
Zhang Y, Yang X, Huang M.
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Distinct genetic profiles influence body mass index between infancy and adolescence

Wang G, McEwan S, Zeng J, Haile-Mariam M, Yengo L, Goddard M, Kemper K, Warrington N.   +7 more
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On Eigenfunctions of the Fourier Transform

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flavia Lanzara, Vladimir Maz'ya
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Atomic Eigenfunctions and Energies

Physical Review, 1932
In \textsection{}1, the calculation of the nondiagonal elements of electrostatic interaction is sketched. In \textsection{}2, attention is called to the fact that the matrix elements of ${L}_{x}$ (the $x$-component of orbital angular momentum), as calculated between spherical harmonic eigenfunctions taken with positive phase, are negative when ${m}_{l}$
Ufford, C. W., Shortley, G. H.
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On special orthogonal eigenfunctions and eigenfunction expansions

International Journal of Mathematical Education in Science and Technology, 1996
We extend some earlier results while illustrating solution techniques commonly encountered by students in undergraduate and beginning graduate courses of mathematical analysis, differential equations, and engineering mathematics. Previously, Turan's inequality was established by using a technique known as the Prufer substitution.
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The Eigenfunctions of the Hilbert Matrix

Constructive Approximation, 2012
The authors consider the Hilbert matrix \(H_{\lambda}=(\frac{1}{n+m+\lambda})_{n, m\geq 0}\), where \(\lambda \in {\mathbb C}\), \(\lambda \notin {\mathbb Z}\). Let \(X\) be one of the Banach spaces \(H^p, A^{-\tau }, A^{-\tau }_0\) of analytical functions on the unit disc of \(\mathbb C\).
Aleman, Alexandru, Montes-Rodríguez, Alfonso, Sarafoleanu, Andreea   +2 more
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Some Properties of Eigenfunctions

SIAM Journal on Applied Mathematics, 1975
The purpose of this paper is to find simple relations between properties of eigenfunctions $y( x )$ and the density function $p( x )$ of the system $y'' + \lambda p( x )y = 0,y( { \pm 1} ) = 0$.
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Factorization Ladders and Eigenfunctions

Canadian Journal of Mathematics, 1949
The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula.
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On the Smallness of Isolated Eigenfunctions

American Journal of Mathematics, 1949
which is satisfied by x yj(t) at t = 0). According to Weyl [3], p. 238, the assumption (2) precludes the existence of a A0 corresponding to which (3) had two linearly independent solutions of class (L2). Correspondingly, every boundary condition (5) determines for (1) a spectrum S(p), containing a (possibly vacuous) point spectrum P(p).
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