Ramanujan phi-Function

The two-argument Ramanujan function is defined by

			(1)
			(2)

The one-argument function is then defined as the limiting sum of as ,

			(3)
			(4)
			(5)
			(6)

where is the digamma function, is the Euler-Mascheroni constant, and is a harmonic number. The values of for , 3, ... are

			(7)
			(8)
			(9)
			(10)
			(11)

where is the golden ratio.