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Table of Integrals, Series, and Products

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The article was published on 2007-01-01 and is currently open access. It has received 4923 citations till now. The article focuses on the topics: Table (landform).

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MonographDOI

Special Functions and Orthogonal Polynomials

TL;DR: The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way as discussed by the authors, and the authors of this book emphasize general principles that unify and demarcate the subjects of study.
Journal ArticleDOI

State-dependent differential Riccati equation to track control of time-varying systems with state and control nonlinearities

TL;DR: The independence of the governing equations and stability of the controller are proven along the trajectory using the Lyapunov approach and a general program for automatic implementation of an SDDRE controller for any manipulator that obeys the Denavit-Hartenberg (D-H) principle when only D-H parameters are received as input data.
Journal ArticleDOI

Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data

TL;DR: In this article, the authors estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems, represented through the Wigner function, a generalized probability density on ℝ2 which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics.
Journal ArticleDOI

Absorption cross section of electromagnetic waves for Schwarzschild black holes

TL;DR: In this paper, the absorption cross section of Schwarzschild black holes for the electromagnetic field has been only calculated in the low and high-frequency approximations until now, and they compute it numerically for arbitrary frequencies.
Proceedings ArticleDOI

Secure communication in cellular networks: The benefits of millimeter wave mobile broadband

TL;DR: Numerical results corroborate the analysis and show that mmWave systems can enable significant secrecy improvement and be indicated that with large antenna arrays, multi-gigabit per second secure link at the mmWave frequencies can be reached in the delay-tolerant transmission mode and the adverse effect of secrecy outage vanishes in thedelay-limited transmission mode.