[HTML][HTML] New approximations of the gamma function in terms of the digamma function
C Mortici - Applied Mathematics Letters, 2010 - Elsevier
Applied Mathematics Letters, 2010•Elsevier
The goal of this paper is to prove the following asymptotic formula where Γ is the Euler
Gamma function and ψ is the digamma function, namely, the logarithmic derivative of Γ.
Moreover, optimal values of parameters b, c are calculated in such a way that this asymptotic
convergence is the best possible.
Gamma function and ψ is the digamma function, namely, the logarithmic derivative of Γ.
Moreover, optimal values of parameters b, c are calculated in such a way that this asymptotic
convergence is the best possible.
The goal of this paper is to prove the following asymptotic formula where Γ is the Euler Gamma function and ψ is the digamma function, namely, the logarithmic derivative of Γ. Moreover, optimal values of parameters b,c are calculated in such a way that this asymptotic convergence is the best possible.
Elsevier
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