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Journal ArticleDOI

Special functions for engineers and applied mathematicians

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This article is published in IEEE Journal of Oceanic Engineering.The article was published on 1986-07-01. It has received 263 citations till now. The article focuses on the topics: Special functions & Differential algebraic equation.

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Citations
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Book

The handbook of formulas and tables for signal processing

TL;DR: This book discusses Fourier Series, as well as special functions Asymptotic Expansions, Signals and Their Representation, and Recursive Filters Satisfying Prescribed Specifications.
Journal ArticleDOI

Performance analysis of optimum combining in wireless communications with Rayleigh fading and cochannel interference

TL;DR: It is shown that the probability density function of the maximum signal-to-interference ratio (SIR) at the output of the optimum combiner has a Hotelling T/sup 2/ distribution.
Journal ArticleDOI

A generalization of truncated M-fractional derivative and applications to fractional differential equations

TL;DR: In this paper, Sousa and de Oliveira proposed a new truncated M-fractional derivative type unifying some fractional derivative types with classical properties and obtained the analytical solutions of some M-series fractional differential equations.
Journal ArticleDOI

Inequalities for Beta and Gamma functions via some classical and new integral inequalities.

TL;DR: In this paper, the authors present the natural application of integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's Beta and Gamma functions.
Journal ArticleDOI

Performance of Alamouti transmit diversity over time-varying Rayleigh-fading channels

TL;DR: It is found that the maximum-likelihood detector that optimally compensates for the time-varying channel is very tolerant to time- varying fading, attaining full diversity order even for the extreme case of /spl rho/=0.
References
More filters
Book

The handbook of formulas and tables for signal processing

TL;DR: This book discusses Fourier Series, as well as special functions Asymptotic Expansions, Signals and Their Representation, and Recursive Filters Satisfying Prescribed Specifications.
Journal ArticleDOI

Performance analysis of optimum combining in wireless communications with Rayleigh fading and cochannel interference

TL;DR: It is shown that the probability density function of the maximum signal-to-interference ratio (SIR) at the output of the optimum combiner has a Hotelling T/sup 2/ distribution.
Journal ArticleDOI

A generalization of truncated M-fractional derivative and applications to fractional differential equations

TL;DR: In this paper, Sousa and de Oliveira proposed a new truncated M-fractional derivative type unifying some fractional derivative types with classical properties and obtained the analytical solutions of some M-series fractional differential equations.
Journal ArticleDOI

Inequalities for Beta and Gamma functions via some classical and new integral inequalities.

TL;DR: In this paper, the authors present the natural application of integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's Beta and Gamma functions.
Journal ArticleDOI

Performance of Alamouti transmit diversity over time-varying Rayleigh-fading channels

TL;DR: It is found that the maximum-likelihood detector that optimally compensates for the time-varying channel is very tolerant to time- varying fading, attaining full diversity order even for the extreme case of /spl rho/=0.