Examples of using Gamma function in English and their translations into Portuguese
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Γ("z") represents the Gamma function.
The range of Gamma function is entire real line.
The Lanczos approximation for the gamma function.
Gamma function is calculated by Spouge algorithm.
The scheme failed to converge with Gamma function.
The rst option is called the gamma function and its a little beyond the scope of this book.
Examples are the Riemann zeta function and the gamma function.
Upper Regularized Gamma function is calculated by formula QGamma(a, x) 1-PGammaa, x.
Treatment acceptance occurred as the gamma function was< 3.
Bartlett, USA and gamma function was applied between the planes generated by CMS/XiO and Omnipro.
The picture approaches the graph of Gamma function when x goes to infinity.
And who claims he can give meaning to the negative values of the gamma function.
So the Lower Incomplete Gamma function has singularity at zero and negative values of parameter a.
The integral on the right hand side may be recognized as the gamma function.
Gammalim controls simplification of the gamma function for integral and rational number arguments.
This gamma function is a meromorphic function of its argument with simple poles at x- n, n 0, 1, 2,…{\displaystyle x=-n, n=0,1,2,….
The constant term is given by:formula_10where formula_11 is the Gamma function and formula_12 is the digamma function. .
As a complex function Gamma function has value Infinity(has a pole) at non-positive integer x.
Geometric peculiarity==The volume of the"n"-dimensional ball(or"n"-ball), is given by::formula_9where formula_10 is its radius and formula_11 is the gamma function.
When simplifying products,solve_rec introduces gamma function into the expression if product_use_gamma is true.
The domain of Gamma function is the positive real half-line and negative half-line with excluded zero and negative integers.
The GAMMALN() function returns the natural logarithm of the gamma function: G(x). The number parameter must be positive.
Motivation==The gamma function can be seen as a solution to the following interpolation problem::"Find a smooth curve that connects the points("x","y") given by"y"("x"- 1)!
Description gammaln(x) evaluates the logarithm of gamma function at all the elements of x, avoiding underflow and overflow.
Schlichting proposed an equivalent substitution that reduces the thermal boundary-layer equation to an ordinary differential equation whose solution is the same incomplete gamma function.
The relationship between the two functions is like that between the gamma function and its generalization the incomplete gamma function.
The Gamma function will be used to interpret PSD variation in the so-called Gamma phase space, where characteristics of different PSDs can be readily observed and compared.
Moreover, this series is even known in analysis as Kummer's series for the logarithm of the Gamma function, although Malmsten derived it 5 years before Kummer.
In mathematics, the gamma function(represented by the capital Greek letter Γ) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
In addition, Euler elaborated the theory of higher transcendental functions by introducing the gamma function and introduced a new method for solving quartic equations.