<PAGE>   1
                                                                    Exhibit 99.0


                           SPECIAL POWER OF ATTORNEY


         KNOWN ALL MEN BY THESE PRESENTS, that I, CHESTER B. BLACK, a legal
resident of the State of Massachusetts, desiring to execute a SPECIAL POWER OF
ATTORNEY, have made, constituted and appointed, and by these presents do make,
constitute and appoint JOHN P. BYRNES and PAUL G. GABOS, or either of them,
with full power of substitution, my Attorney-In-Fact for me and in my name,
place and stead to do and perform the following acts, deeds, matters and things
as he deems advisable in the judgment of my said Attorney-In-Fact as fully and
effectually to all intents and purposes as I could do if personally present and
acting:

        ANNUAL REPORT ON FORM 10-K FOR THE YEAR ENDED DECEMBER 31, 1999

         To execute and deliver all documents and to carry out with full power
and authority every act whatsoever requisite or necessary to be done by or on
behalf of the undersigned, including the execution of the Lincare Holdings Inc.
Annual Report on Form 10-K for the year ended December 31, 1999.

                               GENERAL PROVISIONS

         All business transacted hereunder for me shall be transacted in my
name, and all endorsements and instruments executed by my Attorney-In-Fact for
the purpose of carrying out any of the foregoing powers, shall contain my name,
followed by that of my Attorney-In-Fact and the designation "Attorney-In-Fact."

         I hereby ratify and confirm all lawful acts done by my said
Attorney-In-Fact pursuant to this Special Power of Attorney, and I direct that
this Special Power of Attorney shall continue in effect until terminated by me
in writing or by operation of law.

         If the authority contained herein shall be revoked or terminated by
operation of law without notice, I hereby agree for myself, executors,
administrators, heirs and assigns, in consideration of my Attorney-In-Fact's
willingness to act pursuant to this Special Power of Attorney, to save and hold
my Attorney-In-Fact harmless from any loss suffered or any liability incurred
by him in so acting after such revocation or termination without notice.





                                                  ------------------------------
                                                          CHESTER B. BLACK


<PAGE>   2

                           SPECIAL POWER OF ATTORNEY

         KNOWN ALL MEN BY THESE PRESENTS, that I, FRANK T. CARY, a legal
resident of the State of Connecticut, desiring to execute a SPECIAL POWER OF
ATTORNEY, have made, constituted and appointed, and by these presents do make,
constitute and appoint JOHN P. BYRNES and PAUL G. GABOS, or either of them,
with full power of substitution, my Attorney-In-Fact for me and in my name,
place and stead to do and perform the following acts, deeds, matters and things
as he deems advisable in the judgment of my said Attorney-In-Fact as fully and
effectually to all intents and purposes as I could do if personally present and
acting:

        ANNUAL REPORT ON FORM 10-K FOR THE YEAR ENDED DECEMBER 31, 1999

         To execute and deliver all documents and to carry out with full power
and authority every act whatsoever requisite or necessary to be done by or on
behalf of the undersigned, including the execution of the Lincare Holdings Inc.
Annual Report on Form 10-K for the year ended December 31, 1999.

                               GENERAL PROVISIONS

         All business transacted hereunder for me shall be transacted in my
name, all endorsements and instruments executed by my Attorney-In-Fact for the
purpose of carrying out any of the foregoing powers, shall contain my name,
followed by that of my Attorney-In-Fact and the designation "Attorney-In-Fact."

         I hereby ratify and confirm all lawful acts done by my said
Attorney-In-Fact pursuant to this Special Power of Attorney, and I direct that
this Special Power of Attorney shall continue in effect until terminated by me
in writing or by operation of law.

         If the authority contained herein shall be revoked or terminated by
operation of law without notice, I hereby agree for myself, executors,
administrators, heirs and assigns, in consideration of my Attorney-In-Fact's
willingness to act pursuant to this Special Power of Attorney, to save and hold
my Attorney-In-Fact harmless from any loss suffered or any liability incurred
by him in so acting after such revocation or termination without notice.




                                                  ------------------------------
                                                           FRANK T. CARY




<PAGE>   3

                           SPECIAL POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, WILLIAM F. MILLER, III, a
legal resident of the State of Texas, desiring to execute a SPECIAL POWER OF
ATTORNEY, have made, constituted and appointed, and by these presents do make,
constitute and appoint JOHN P. BYRNES and PAUL G. GABOS, or either of them,
with full power of substitution, my Attorney-In-Fact for me and in my name,
place and stead to do and perform the following acts, deeds, matters and things
as he deems advisable in the judgment of my said Attorney-In-Fact as fully and
effectually to all intents and purposes as I could do if personally present and
acting:

        ANNUAL REPORT ON FORM 10-K FOR THE YEAR ENDED DECEMBER 31, 1999

         To execute and deliver all documents and to carry out with full power
and authority every act whatsoever requisite or necessary to be done by or on
behalf of the undersigned, including the execution of the Lincare Holdings Inc.
Annual Report on Form 10-K for the year ended December 31, 1999.

                              GENERAL PROVISIONS

         All business transacted hereunder for me shall be transacted in my
name, and all endorsements and instruments executed by my Attorney-In-Fact for
the purpose of carrying out any of the foregoing powers, shall contain my name,
followed by that of my Attorney-In-Fact and the designation "Attorney-In-Fact."

         I hereby ratify and confirm all lawful acts done by my said
Attorney-In-Fact pursuant to this Special Power of Attorney, and I direct that
this Special Power of Attorney shall continue in effect until terminated by me
in writing or by operation of law.

         If the authority contained herein shall be revoked or terminated by
operation of law without notice, I hereby agree for myself, executors,
administrators, heirs and assigns, in consideration of my Attorney-In-Fact's
willingness to act pursuant to this Special Power of Attorney, to save and hold
my Attorney-In-Fact harmless from any loss suffered or any liability incurred
by him in so acting after such revocation or termination without notice.



                                             ---------------------------------
                                                   WILLIAM F. MILLER, III
<PAGE>   4

                           SPECIAL POWER OF ATTORNEY

         KNOW ALL MEN BY THESE PRESENTS, that I, THOMAS O. PYLE, a
legal resident of the State of NEW YORK, desiring to execute a SPECIAL POWER OF
ATTORNEY, have made, constituted and appointed, and by these presents do make,
constitute and appoint JOHN P. BYRNES and PAUL G. GABOS, or either of them,
with full power of substitution, my Attorney-In-Fact for me and in my name,
place and stead to do and perform the following acts, deeds, matters and things
as he deems advisable in the judgment of my said Attorney-In-Fact as fully and
effectually to all intents and purposes as I could do if personally present and
acting:

        ANNUAL REPORT ON FORM 10-K FOR THE YEAR ENDED DECEMBER 31, 1999

         To execute and deliver all documents and to carry out with full power
and authority every act whatsoever requisite or necessary to be done by or on
behalf of the undersigned, including the execution of the Lincare Holdings Inc.
Annual Report on Form 10-K for the year ended December 31, 1999.

                              GENERAL PROVISIONS

         All business transacted hereunder for me shall be transacted in my
name, and all endorsements and instruments executed by my Attorney-In-Fact for
the purpose of carrying out any of the foregoing powers, shall contain my name,
followed by that of my Attorney-In-Fact and the designation "Attorney-In-Fact."

         I hereby ratify and confirm all lawful acts done by my said
Attorney-In-Fact pursuant to this Special Power of Attorney, and I direct that
this Special Power of Attorney shall continue in effect until terminated by me
in writing or by operation of law.

         If the authority contained herein shall be revoked or terminated by
operation of law without notice, I hereby agree for myself, executors,
administrators, heirs and assigns, in consideration of my Attorney-In-Fact's
willingness to act pursuant to this Special Power of Attorney, to save and hold
my Attorney-In-Fact harmless from any loss suffered or any liability incurred
by him in so acting after such revocation or termination without notice.



                                             ---------------------------------
                                                       THOMAS O. PYLE