## Principles of Electricity and Electromagnetism |

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Page 157

:\Fo cos" r dr = Y " —A 4 O.98 2 m + 2 0.97 0 T 2 O.96 0.95 The

known as the gamma func- : tion. It obeys the relation T(n + 1) = n F(n) o; which

enables the

argument.

:\Fo cos" r dr = Y " —A 4 O.98 2 m + 2 0.97 0 T 2 O.96 0.95 The

**function**T isknown as the gamma func- : tion. It obeys the relation T(n + 1) = n F(n) o; which

enables the

**function**of a large argu- 09 ment to be reduced to that of smallerargument.

Page 577

A fundamental theorem of mathematics is that if f(x) is a

derivatives of the first n orders in the interval between z = a and z = b, then f(r)

may be expressed throughout that interval as f(z) = f(z)0 + (2 – 2:0)f'(z)0 + * of"G).

A fundamental theorem of mathematics is that if f(x) is a

**function**of a which hasderivatives of the first n orders in the interval between z = a and z = b, then f(r)

may be expressed throughout that interval as f(z) = f(z)0 + (2 – 2:0)f'(z)0 + * of"G).

Page 578

y) means the nth partial derivative with respect to a and the mth partial derivative

with respect to y of the

extension of the theorem to three or more variables is obvious. e If f(x, y, ...

y) means the nth partial derivative with respect to a and the mth partial derivative

with respect to y of the

**function**f(x, y) evaluated at the point a = x0 and y = yo. Theextension of the theorem to three or more variables is obvious. e If f(x, y, ...

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