analytic function
91Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …
92Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …
93Functional equation (L-function) — In mathematics, the L functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations. There is an elaborate theory of what these equations should be, much of which …
94Completely multiplicative function — In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. Especially in number theory, a weaker condition is also important,… …
95Lerch zeta function — In mathematics, the Lerch zeta function, sometimes called the Hurwitz Lerch zeta function, is a special function that generalizes the Hurwitz zeta function and the polylogarithm. It is named after Mathias Lerch [http://www groups.dcs.st… …
96Divisor summatory function — The summatory function, with leading terms removed, for x < 104 …
97Naor-Reingold Pseudorandom Function — In 1997, Moni Naor and Omer Reingold described efficient constructions for various cryptographic primitives in private key as well as public key cryptography. Their result is the construction of an efficient pseudorandom function. Let p and l be… …
98Clausen function — In mathematics, the Clausen function is defined by the following integral: It was introduced by Thomas Clausen (1832). The Lobachevsky function Λ or Л is essentially the same function with a change of variable: though the name Lobachevsky… …
99Ramp function — The ramp function is an elementary unary real function, easily computable as the mean of its independent variable and its absolute value.This function is applied in engineering (e.g., in the theory of DSP). The name ramp function can be derived… …
100Extremal orders of an arithmetic function — In mathematics, in number theory, the extremal orders of an arithmetic function are best possible bounds of the given arithmetic function. Specifically, if f(n) is an arithmetic function and m(n) is a non decreasing function that is ultimately… …
