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

delta(r)=sqrt(r)-2alpha(r), where alpha(r) is the elliptic alpha function.

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

There are infinitely many primes m which divide some value of the partition function P.

An equation derived by Kronecker: where r(n) is the sum of squares function, zeta(z) is the Riemann zeta function, eta(z) is the Dirichlet eta function, Gamma(z) is the gamma ...

The function K_n(x_0,x)=K_n(x,x_0)^_=K_n(x^_,x^__0) which is useful in the study of many polynomials.

An elliptic function with no poles in a fundamental cell is a constant.

A function used to study ordinary differential equations.

A function for which all critical points are nondegenerate and all critical levels are different.

Any entire analytic function whose range omits two points must be a constant function. Of course, an entire function that omits a single point from its range need not be a ...