A347292 Decimal expansion of maximum of real part of the function psi(cos(x) + i*sin(x)).

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

Offset: 0

Author

Artur Jasinski, Feb 09 2022

Keywords

• cons
• nonn
• changed

Comments

psi is the digamma function.

Values of psi(cos(x) + i*sin(x)) change in range from -gamma to this constant where gamma is the Euler-Mascheroni constant A001620.

This maxima occurs for x = (2k+1)*Pi +- 0.941223380428505630122594...

Examples

			0.2919548086198801900004433...
		

Crossrefs

Cf. A001620, A248177.

Programs

Mathematica

RealDigits[FindMaximum[Re[PolyGamma[0,Cos[x] + I Sin[x]]], {x,2}, WorkingPrecision -> 105][[1]]][[1]]

Extensions

Last digit corrected by Vaclav Kotesovec, Sep 02 2025