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Herschel, John in correspondent 
Warburton, Henry in correspondent 
1850-1859::1856::05 in date 
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From:
Sir John Herschel
To:
Henry Warburton
Date:
[27 May 1856]
Source of text:
RS:HS 18.85b
Summary:

Compliments HW's expression for the formula for coefficients of differences of the odd powers of zero. JH busy, but hopes soon to develop demonstration.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[7 May 1856]
Source of text:
RS:HS 18.80
Summary:

HW neglected to state principle from which he derived equation for eliminating differences. Expresses it in formula.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[15 May 1856]
Source of text:
RS:HS 18.81
Summary:

Glad that JH shows renewed interest in mathematics. Besides HW, JH, Augustus De Morgan, and Mr. Gerard, there appear to be no others interested in researching the differences of the powers of zero. Gave outline of HW's paper at Cambridge Philosophical Society. Plans to revise it according to suggestions from JH and De Morgan.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[17 May 1856]
Source of text:
RS:HS 18.82
Summary:

Quick way to determine coefficients in tables of differences of powers of zero.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[25 May 1856]
Source of text:
RS:HS 18.83
Summary:

Sends law of coefficients, for developing summation theorem.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[26 May 1856]
Source of text:
RS:HS 18.84
Summary:

Coefficients of differences of odd powers of zero observe same law as those of even powers. Example of table of coefficients of differences of 015. Table took 15 minutes to compute by HW's process of summation. Notes error in table for 012 sent earlier.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[30 May 1856]
Source of text:
RS:HS 18.86
Summary:

Glad for JH's renewed interest in mathematics. At 72, HW expects to do no more. Reviewed JH's letter of 14 May [1856]. Fears JH misunderstood meaning of symbol HW employed. Quotes explanation from HW's paper on self-repeating series.

Contributor:
John Herschel Project