Analysts are expecting more innovation around services, and this week Apple unveiled a new streaming radio service iTunes Radio. Apple analysts are also expecting other new services such as mobile payments down the road.
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The other key is managing a slowdown in growth. Wymer said he was surprised at how fast the smartphone business in the developed world has matured.
Both Wymer and Nygren said that capital allocation becomes much more important for Apple from here.
"As companies get into a more mature phase, capital allocation becomes important," Oakmark's Nygren said.
Wymer agreed, saying, "Those that throw money at a business to achieve growth rates that are no longer achievable can be a problem."
Returning capital to shareholders through dividends and stock buybacks is a risk reducer and can keep a company that's entering a slowing growth phase from chasing after growth by making bad acquisitions or investing unwisely, Nygren said.
While Apple isn't the largest holding in the Oakmark fund, Nygren has been building a position in the tech maker.
And with Apple embracing a dividend and stock buyback and continuing to expand its underlying business, both value and growth investors may be able to find something to like in the stock.
—By CNBC's Justin Menza. Follow him on Twitter @JustinMenza.