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Computer Physics Communications, ISSN 0010-4655, 12/2012, Volume 183, Issue 12, pp. 2622 - 2628
The Lambert function and its possible applications in physics are presented. The actual numerical implementation in C++ consists of Halley’s and Fritsch’s... 
C++ | Lambert W function | Computational physics | Numerical methods and algorithms | MECHANICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | C plus | PHYSICS, MATHEMATICAL | IONIZATION
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2019, Volume 362, p. 124555
Two iterative algorithms are proposed for numerically computing interval matrices containing primary matrix Lambert functions. The first algorithm is based on... 
Primary matrix function | Verified numerical computation | Lambert W function | DELAY-DIFFERENTIAL EQUATIONS | MATHEMATICS, APPLIED | SYSTEMS | numerical computation
Journal Article
Energy Conversion and Management, ISSN 0196-8904, 07/2016, Volume 119, pp. 37 - 48
Journal Article
Solar Energy, ISSN 0038-092X, 12/2017, Volume 158, pp. 432 - 439
This article presents a successful simulink model by using the photovoltaic (PV) product along with DC/DC buck converter, lithium ion battery, maximum power... 
Fuzzy logic | Maximum power point tracker | Lambert W function | Buck converter | Single diode model | SOLAR-CELLS | ARRAY | MPPT | ENERGY & FUELS | MODEL | PARAMETERS | SIMULATION | MAXIMUM-POWER-POINT | EXPRESSIONS | TRACKING | Solar energy industry | Analysis | Methods
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 12/2018, Volume 29, Issue 12, pp. 971 - 978
In this paper, sharp lower and upper bounds for the branch of Lambert W function are provided by means of functional analysis methods and monotonicity... 
inequalities | Lambert W function | 26A48 | 33E20 | monotonicity properties | 26D07 | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATIONS | INFILTRATION | Upper bounds | Functional analysis
Journal Article
Solar Energy Materials and Solar Cells, ISSN 0927-0248, 2007, Volume 91, Issue 18, pp. 1652 - 1657
A new model of photovoltaic (PV) fields is introduced in this paper. It allows the simulation of a PV generator whose subsections, e.g. cells, groups of cells,... 
Lambert W-function | Solar cell array | solar cell array | lambert W-function | ENERGY & FUELS | MATERIALS SCIENCE, MULTIDISCIPLINARY | ARRAYS | SOLAR | Solar energy industry | Analysis | Models
Journal Article
Solar Energy, ISSN 0038-092X, 06/2015, Volume 116, pp. 69 - 82
This paper proposes a new explicit double-diode modeling method based on Lambert W-function (EDDMMLW) for solar cells and photovoltaic (PV) arrays with bypass... 
Double-diode model | Solar cell | Lambert W-function | PV array | Series resistance | Explicit expression | 2-DIODE MODEL | SERIES | FORM | ENERGY & FUELS | SHADED SOLAR-CELLS | PARAMETERS | SIMULATION | J-V MODEL | NUMERICAL-CALCULATION | MODULES | RESISTANCES | Models | Solar energy industry | Analysis | Methods
Journal Article
Energy Conversion and Management, ISSN 0196-8904, 11/2016, Volume 127, pp. 443 - 460
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 08/2018, Volume 139, pp. 53 - 60
This paper offers a new proof that the principal Lambert W-function W(s) is a Bernstein function. The proof derives from a known integral evaluation and leads... 
Bernstein function | Lambert W function | Infinite divisibility | STATISTICS & PROBABILITY | Laws, regulations and rules | Arsenic compounds
Journal Article
Solar Energy Materials and Solar Cells, ISSN 0927-0248, 2004, Volume 81, Issue 2, pp. 269 - 277
Exact closed-form solution based on Lambert W-function are presented to express the transcendental current-voltage characteristic containing parasitic power... 
Lambert W-function | Solar cell | Current–voltage characteristics | Current-voltage characteristics | current-voltage characteristics | ENERGY & FUELS | MATERIALS SCIENCE, MULTIDISCIPLINARY | GENERALIZED DIODE EQUATION | APPROXIMATE ANALYTICAL SOLUTION | VALUES | solar cell
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2017, Volume 369, Issue 11, pp. 7917 - 7934
The Lambert W function, giving the solutions of a simple transcendental equation, has become a famous function and arises in many applications in... 
Lambert W function | Laguerre polynomials | Stirling numbers | Transcendence | MATHEMATICS | transcendence
Journal Article
by Ghani, F and Duke, M
Solar Energy, ISSN 0038-092X, 2011, Volume 85, Issue 9, pp. 2386 - 2394
► A new method to determine the loss resistance values of a solar cell is presented. ► Proposed method was used to determine loss resistances of various... 
Lambert W-function | Solar cell modelling | Parameter evaluation | Series resistance | Shunt resistance | Newton–Raphson | Newton-Raphson | MODULES | ENERGY & FUELS | DEVICES | PARAMETERS | MODEL | Solar energy industry | Analysis | Solar cells | Photovoltaic cells | Mathematical analysis | Roots | Derivatives | Convergence | Crystal structure | Matlab
Journal Article
Energy Conversion and Management, ISSN 0196-8904, 09/2018, Volume 171, pp. 1822 - 1842
Journal Article
Mathematics, ISSN 2227-7390, 04/2018, Volume 6, Issue 4, p. 56
The Lambert W function, implicitly defined by W(x) e(W(x)) = x, is a relatively "new" special function that has recently been the subject of an extended... 
Prime counting function | Lambert W function | Primes | The n'th prime | MATHEMATICS | primes | prime counting function | the n ' th prime | WIENS DISPLACEMENT LAW | Prime numbers | the n’th prime
Journal Article
International Journal of Precision Engineering and Manufacturing, ISSN 2234-7593, 01/2019, Volume 20, Issue 1, pp. 101 - 110
Stability and transparency play key roles in a bilateral teleoperation system with communication latency. This study developed a new method of controller... 
Time-delay | Lambert W function | Eigenvalue assignment | Teleoperation systems | POSITION | TIME-DELAY SYSTEMS | FORCE TRACKING | STABILITY ANALYSIS | ENGINEERING, MANUFACTURING | ENGINEERING, MECHANICAL
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 08/2018, Volume 139, pp. 53 - 60
This paper offers a new proof that the principal Lambert -function is a Bernstein function. The proof derives from a known integral evaluation and leads to a... 
Lambert [formula omitted] function | Bernstein function | Infinite divisibility
Journal Article
Methods in Ecology and Evolution, ISSN 2041-210X, 09/2016, Volume 7, Issue 9, pp. 1110 - 1118
The Lambert W function is a mathematical function with a long history, but which was named and rigorously defined relatively recently. It is closely related to... 
explicit solution | Lambert W function | fertilization kinetics | Lotka–Volterra model | population growth rate | model | calculus | marginal value theorem | mate search | modelling | SIR | SIR model | DELAY-DIFFERENTIAL EQUATIONS | SYSTEM | ENVIRONMENTS | BEHAVIOR | Lotka-Volterra model | TIME | ENZYME | BIOLOGY | ECOLOGY | REPRODUCTION | TOOL | Mathematical functions
Journal Article
Renewable Energy, ISSN 0960-1481, 02/2015, Volume 74, pp. 214 - 226
In this study, a novel exact technique is proposed for tracking the maximum power point (MPP) of photovoltaic (PV) modules connected in various configurations.... 
Photovoltaic (PV) module | Lambert W function | Maximum power point tracking (MPPT) | Photovoltaic (PV) array | Maximum power point (MPP) | Configuration | GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY | SOLAR-CELLS | MODEL PARAMETERS | ENERGY & FUELS | ALGORITHM | SIMULATION | ARRAYS | EXTRACTION | PANELS | IDEALITY FACTOR
Journal Article
Solar Energy, ISSN 0038-092X, 05/2013, Volume 91, pp. 422 - 431
► Method to calculate series and shunt resistances and diode constant. ► Method of modified to now calculate diode constant value. ► Method has been... 
Lambert function | Diode constant | Series resistance | Shunt resistance | Cell modeling | Solar parameters | EXTRACTION | PARASITIC RESISTANCES | MODULES | MODEL PARAMETERS | ENERGY & FUELS | PERFORMANCE | Circuit components | Solar energy industry | Analysis | Solar cells | Photovoltaic cells | Series (mathematics) | Mathematical models | Maximum power | Bypasses | Diodes | Shunts
Journal Article
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