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The Fourier sine transform is the imaginary part of the full complex Fourier transform, F_x^((s))[f(x)](k) = I[F_x[f(x)](k)] (1) = int_(-infty)^inftysin(2pikx)f(x)dx. (2) The ...

A function which has infinitely many derivatives at a point. If a function is not polygenic, it is monogenic.

The floor function |_x_|, also called the greatest integer function or integer value (Spanier and Oldham 1987), gives the largest integer less than or equal to x. The name ...

The generalized hypergeometric function is given by a hypergeometric series, i.e., a series for which the ratio of successive terms can be written ...

The number of partitions of n in which no parts are multiples of k is sometimes denoted b_k(n) (Gordon and Ono 1997). b_k(n) is also the number of partitions of n into at ...

y=delta^'(x-a), where delta(x) is the delta function.

A function of more than one variable.

A function f:A->B such that B is a set of numbers.

An apodization function similar to the Bartlett function.

Bracewell's term for the rectangle function.