AT HOME CORP
424B3, 1999-08-17
COMPUTER PROGRAMMING, DATA PROCESSING, ETC.
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<PAGE>   1
Prospectus Supplement #3                        Filed pursuant to Rule 424(b)(3)
(to prospectus dated July 2, 1999 and                 Registration No. 333-78419
supplement dated July 15, 1999)

                               [Excite@Home logo]

                               AT HOME CORPORATION

                    $437,000,000 principal amount at maturity
                  convertible subordinated debentures due 2018

                         Shares of Series A common stock
                   issuable upon conversion of the debentures

                                ---------------

     This prospectus supplement relates to the resale by the holders of
convertible subordinated debentures due 2018 of Excite@Home and the shares of
Series A common stock of Excite@Home issuable upon the conversion of the
debentures.

     You should read this prospectus supplement in conjunction with the
prospectus dated July 2, 1999 and prospectus supplement dated July 15, 1999,
each of which is to be delivered with this prospectus supplement. All
capitalized terms used but not defined in this prospectus supplement shall have
the meanings given to them in the prospectus.

     The information in the table appearing under the heading "Selling
Securityholders" in the prospectus is superseded in part by the information
appearing in the table below:

<TABLE>
<CAPTION>
                                                          Principal amount of    Percentage
                                                               debentures            of         Shares of Series
                                                           beneficially owned    debentures      A common stock
Name                                                        that may be sold     outstanding    that may be sold
- ----                                                      -------------------    -----------    ----------------
<S>                                                            <C>                   <C>           <C>
Arkansas Teachers Retirement System..................            $799,000             *             10,466

Baptist Health of South Florida......................            $155,000             *              2,030

Boston Museum of Fine Art............................            $120,000             *              1,572

Dunham & Assoc. Ser III..............................            $122,000             *              1,598

Engineers Joint Pension Fund.........................            $322,000             *              4,218

Nicholas-Applegate Convertible Fund..................            $454,000             *              5,947

Pilgrim Convertible Fund.............................          $2,476,000             *             32,435

San Diego City Retirement............................            $901,000             *             11,803

San Diego County Convertible.........................          $2,352,000             *             30,811

Wake Forest University...............................            $791,000             *             10,362

Other holders of debentures or future transferees of
these holders (**).................................           $39,708,000            9.1%          520,174

</TABLE>

<PAGE>   2

- -------------------

*    Less than 1%

**   Assumes that any other holders of debentures, or any future transferees of
     these holders, do not beneficially own any Series A common stock other than
     the Series A common stock issuable upon conversion of the debentures.

                                ---------------

     Investing in our convertible subordinated debentures or our Series A common
stock involves a high degree of risk. Please carefully consider the "Risk
Factors" beginning on page 6 of the prospectus.

     NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION HAS APPROVED OR DISAPPROVED OF THESE SECURITIES OR PASSED UPON THE
ADEQUACY OR ACCURACY OF THIS PROSPECTUS OR THIS PROSPECTUS SUPPLEMENT. ANY
REPRESENTATION TO THE CONTRARY IS A CRIMINAL OFFENSE.

           The date of this prospectus supplement is August 17, 1999.


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