Примери за използване на Gamma function на Английски и техните преводи на Български
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Where Γ(·) is the gamma function.
The gamma function is defined for all numbers except the non-positive integers.
Where Γ(z) is the gamma function.
The derivatives of the gamma function are described in terms of the polygamma function. .
Natural logarithm of the gamma function at 4.
The gamma function is defined for all complex numbers except the negative integers and zero.
So the residues of the gamma function at those points are.
Expansion of a function in a series and properties of the gamma function;
Perhaps the best-known value of the gamma function at a non-integer argument is.
And who claims he can give meaning to the negative values of the gamma function.
Other important functional equations for the gamma function are Euler's reflection formula.
In fact, the gamma function corresponds to the Mellin transform of the negative exponential function: .
Returns the natural logarithm of the gamma function, Γ(x).
Around 1811 he named the gamma function and introduced the symbol Γ normalizing it to Γ(n+1)= n!
Returns the natural logarithm of the gamma function, Γ(x).
He also published papers on the gamma function, the zeta function and partial differential equations.
In 1927 he submitted his doctoral dissertation on zeros of the gamma function to Frankfurt.
The logarithm of the gamma function has the following Fourier series expansion for 0< z< 1:{\displaystyle 0.
In that topic he studied infinite series, and the gamma function as well as other special functions. .
The gamma function is non-zero everywhere along the real line, although it comes arbitrarily close to zero as z→-∞.
He also studied infinite series, the gamma function and inequalities for convex functions. .
Moreover, he considers series analogous to the Fourier summation formulas and applications to the gamma function and the Riemann function. .
In general, when computing values of the gamma function, we must settle for numerical approximations.
Just as the gamma function for integers describes fac-torials, the beta function can de-ne a binomial coe¢- cient after adjusting indices.
Asymptotically as z→∞{\displaystyle z\to\infty},the magnitude of the gamma function is given by Stirling's formula.
In mathematics, the gamma function(Γ(z)) is an extension of the factorial function to positive real and complex numbers.
The GAMMALN() function returns the natural logarithm of the gamma function: G(x). The number parameter must be positive.
In mathematics, the gamma function(Γ(z)) is an extension of the factorial function to all complex numbers except negative integers.
Stieltjes also contributed to ordinary and partial differential equations, the gamma function, interpolation, and elliptic functions. .
Γ is related to the digamma function Ψ, and hence the derivative of the gamma function Γ, when both functions are evaluated at 1.