NEW YORK — A Wall Street maverick who wants Apple Inc. to share more of its wealth with investors took his case to other shareholders Thursday, urging them to send management a message by voting against a company proposal at the upcoming annual meeting.

On a conference call with investors and reporters, David Einhorn, founder of the hedge fund Greenlight Capital, laid out the case for something he calls ‘‘iPrefs,’’ a class of dividend-bearing preferred stock. He wants Apple to issue such shares free to shareholders as way of committing to use its massive profits for the benefit of shareholders.