Results 21 to 30 of about 3,168,134 (332)
On Transcendental Numbers: New Results and a Little History
Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π , and ...
Solomon Marcus, Florin F. Nichita
doaj +1 more source
Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions [PDF]
We develop general criteria that ensure that any non-zero solution of a given second-order difference equation is differentially transcendental, which apply uniformly in particular cases of interest, such as shift difference equations, q-dilation ...
Arreche, Carlos E. +2 more
core +4 more sources
Selective solutions to transcendental equations
The authors present a combination of global iterative methods, based on the Fatou-Julia theory, and local methods to find selected roots of elementary transcendental equations, \(z=F(z,c)\), \(z\) and \(c\) complex, that occur in different applications.
Nasser Doual +2 more
openaire +3 more sources
This article presents a Fifteen‐level inverter topology that has a lesser number of switches (12) and can accommodate isolated DC sources. The total harmonic elimination (THD) of the proposed topology using genetic algorithm is within the IEEE 519 standards. Further, the fifteen‐level inverter is implemented in Hardware and firing pulses were generated
Yogesh Joshi +4 more
wiley +1 more source
Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Florin F. Nichita
doaj +1 more source
The stability analysis of the market price using Lambert function method
In this article we are going to analyze market price stability with different market intensity coefficient and delay argument values. Market price is described as a scalar differential equation with a delay argument.
Irma Jankauskienė, Tomas Miliūnas
doaj +1 more source
Kepler’s Goat Herd: An exact solution to Kepler’s equation for elliptical orbits [PDF]
A fundamental relation in celestial mechanics is Kepler’s equation, linking an orbit’s mean anomaly to its eccentric anomaly and eccentricity. Being transcendental, the equation cannot be directly solved for eccentric anomaly by conventional treatments;
O. Philcox, J. Goodman, Z. Slepian
semanticscholar +1 more source
Some updates to the method for calculation of parameters of bottom trawl system
The method for calculation of geometric parameters of trawl system proposed by F.I. Baranov is analyzed. The calculation includes evaluation of spacer force and drag for all elements of trawl system and solution of transcendental equation to find a ...
Egor A. Zakharov, Oleg N. Kruchinin
doaj +1 more source
Modular differential equations for torus one-point functions [PDF]
It is shown that in a rational conformal field theory every torus one-point function of a given highest weight state satisfies a modular differential equation.
Apostol T M +17 more
core +2 more sources
On the Number of Solutions of a Transcendental Equation Arising in the Theory of Gravitational Lensing [PDF]
The equation in the title describes the number of bright images of a point source under lensing by an elliptic object with isothermal density. We prove that this equation has at most 6 solutions.
Walter Bergweiler, A. Eremenko
semanticscholar +1 more source

