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An inner product space is a vector space together with an inner product on it. If the inner product defines a complete metric, then the inner product space is called a ...

Not continuous. A point at which a function is discontinuous is called a discontinuity, or sometimes a jump.

where R[nu]>-1, |argp|<pi/4, and a, b>0, J_nu(z) is a Bessel function of the first kind, and I_nu(z) is a modified Bessel function of the first kind.

An operator A:f^((n))(I)|->f(I) assigns to every function f in f^((n))(I) a function A(f) in f(I). It is therefore a mapping between two function spaces. If the range is on ...

Suppose that f is an analytic function which is defined in the upper half-disk {|z|^2<1,I[z]>0}. Further suppose that f extends to a continuous function on the real axis, and ...

An even Walsh function with sequency k defined by Cal(n,k)=W(n,2k+1).

An odd Mathieu function se_r(z,q) with characteristic value a_r.

The relative rate of change of a function f(x) is the ratio if its derivative to itself, namely R(f(x))=(f^'(x))/(f(x)).

An odd Walsh function with sequency k defined by Sal(n,k)=W(n,2k).

The number of poles of an automorphic function in the closure of its fundamental region.