login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A175473 Decimal expansion of the absolute value of the abscissa of the local minimum of the Gamma function in the interval [ -2,-1]. 9

%I

%S 1,5,7,3,4,9,8,4,7,3,1,6,2,3,9,0,4,5,8,7,7,8,2,8,6,0,4,3,6,9,0,4,3,4,

%T 6,1,2,6,5,5,0,4,0,8,5,9,1,1,6,8,4,6,1,4,9,9,3,0,1,4,2,5,6,8,7,9,7,0,

%U 2,0,3,4,4,3,9,6,5,1,4,0,4,8,1,0,4,7,3,2,3,9,8,2,5,1,8,8,5,6,2,8,1,8,7,7,0

%N Decimal expansion of the absolute value of the abscissa of the local minimum of the Gamma function in the interval [ -2,-1].

%C Also the location of the zero of the digamma function in the same interval.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Particular_values_of_the_Gamma_function">Particular values of the Gamma function</a>

%H E. Weisstein, <a href="http://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>, MathWorld.

%e Gamma(-1.5734984731623904587782860437..) = 2.3024072583396801358235820396..

%t x /. FindRoot[ PolyGamma[0, x] == 0, {x, -3/2}, WorkingPrecision -> 110] // Abs // RealDigits // First // Take[#, 105]& (* _Jean-Fran├žois Alcover_, Jan 21 2013 *)

%o (PARI) solve(x=1.5,1.6,psi(-x)) \\ _Charles R Greathouse IV_, Jul 19 2013

%Y Cf. A030169, A030171, A175472, A175474.

%K cons,nonn

%O 1,2

%A _R. J. Mathar_, May 25 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 2 09:21 EDT 2020. Contains 335398 sequences. (Running on oeis4.)