Book ChapterDOI
Functions of One Complex Variable
George Pólya,Gabor Szegö +1 more
- pp 297-384
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The article was published on 1998-01-01. It has received 552 citations till now. The article focuses on the topics: Wirtinger derivatives & Unit circle.read more
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Journal ArticleDOI
Yukawa couplings in intersecting D-brane models
TL;DR: In this paper, the authors compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6-branes intersecting at angles, and show that these couplings depend both on the Kahler and open string moduli but not on the complex structure.
Journal Article
Author's Reply to Comments on Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels
TL;DR: In this paper, the authors studied the problem of feedback stabilization over a signal-to-noise ratio (SNR) constrained channel and showed that for either state feedback, or for output feedback delay-free, minimum phase plants, there are limitations on the ability to stabilize an unstable plant over an SNR constrained channel.
Posted Content
On hypergeometric functions and Pochhammer $k$-symbol
Rafael Diaz,Eddy Pariguan +1 more
TL;DR: In this article, the authors introduced the Pochhammer symbol for the generalized gamma function and proved several identities generalizing those satisfied by the classical gamma function, beta function, and pochhammer symbols.
Journal ArticleDOI
Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
TL;DR: The proposed approach to compute the characteristic roots of delay differential equations (DDEs) with multiple discrete and distributed delays by approximating the derivative in the infinitesimal generator of the solution operator semigroup by Runge--Kutta (RK) and linear multistep (LMS) methods is proposed.
Book
Lectures on Lyapunov Exponents
TL;DR: In this article, the authors introduce linear cocycles, Extremal Lyapunov exponents and invariant measures, as well as a generic cocycle based on the invariance principle.
References
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Journal ArticleDOI
Yukawa couplings in intersecting D-brane models
TL;DR: In this paper, the authors compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6-branes intersecting at angles, and show that these couplings depend both on the Kahler and open string moduli but not on the complex structure.
Journal Article
Author's Reply to Comments on Feedback Stabilization Over Signal-to-Noise Ratio Constrained Channels
TL;DR: In this paper, the authors studied the problem of feedback stabilization over a signal-to-noise ratio (SNR) constrained channel and showed that for either state feedback, or for output feedback delay-free, minimum phase plants, there are limitations on the ability to stabilize an unstable plant over an SNR constrained channel.
On hypergeometric functions and Pochhammer -symbol.
Rafael Diaz,Eddy Pariguan +1 more
TL;DR: In this paper, the k-generalized gamma function ik, beta function Bk and Pochhammer k-symbol (x)n;k were introduced and proved several identities generalizing those satisfled by the classical gamma functions, beta functions and pochhammer symbol.
Journal ArticleDOI
Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
TL;DR: The proposed approach to compute the characteristic roots of delay differential equations (DDEs) with multiple discrete and distributed delays by approximating the derivative in the infinitesimal generator of the solution operator semigroup by Runge--Kutta (RK) and linear multistep (LMS) methods is proposed.
Book
Lectures on Lyapunov Exponents
TL;DR: In this article, the authors introduce linear cocycles, Extremal Lyapunov exponents and invariant measures, as well as a generic cocycle based on the invariance principle.