someHerrings
Stieltjes Constants as Constants of Integration
The Stieltjes constants are the constant coefficients of an infinite linear differential equation with (it) as the variable when the solution of the equation at the 0th derivative is equal to the limit as t approaches zero for the Riemann zeta function at s = 1+it.
The even indexed Stieltjes constants are equal to the limit (as t approaches 0) of the real part of the even derivatives OR the slope (at t = 0) of the imaginary part of the odd derivatives.
The odd indexed Stieltjes constants are equal to the negative limit (as t approaches 0) of the real part of the odd derivatives OR the negative slope (at t = 0) of the imaginary part of the even derivatives.
These relationships satisfy the Cauchy - Riemann equations for the derivatives of a complex function.
en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations
Stieltjes Constants as Constants of Integration
The Stieltjes constants are the constant coefficients of an infinite linear differential equation with (it) as the variable when the solution of the equation at the 0th derivative is equal to the limit as t approaches zero for the Riemann zeta function at s = 1+it.
The even indexed Stieltjes constants are equal to the limit (as t approaches 0) of the real part of the even derivatives OR the slope (at t = 0) of the imaginary part of the odd derivatives.
The odd indexed Stieltjes constants are equal to the negative limit (as t approaches 0) of the real part of the odd derivatives OR the negative slope (at t = 0) of the imaginary part of the even derivatives.
These relationships satisfy the Cauchy - Riemann equations for the derivatives of a complex function.
en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations