The twoargument Ramanujan function is defined by
(1)
 
(2)

The oneargument function is then defined as the limiting sum of as ,
(3)
 
(4)
 
(5)
 
(6)

where is the digamma function, is the EulerMascheroni constant, and is a harmonic number. The values of for , 3, ... are
(7)
 
(8)
 
(9)
 
(10)
 
(11)

where is the golden ratio.