A transcendental function is a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials. Saying it more technically, a function of one variable is transcendental if it is algebraically independent of that variable. In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range). ... In mathematics, polynomial functions, or polynomials, are an important class of simple and smooth functions. ... In mathematics, a coefficient is a multiplicative factor of a certain object such as a variable (for example, the coefficients of a polynomial), a basis vector, a basis function and so on. ... In abstract algebra, a subset S of a field L is algebraically independent over a subfield K if the elements of S do not satisfy any non-trivial polynomial equation with coefficients in K. This means that for every finite sequence α1,...,αn of elements of S, no two the...

The logarithm and the exponential function are examples of transcendental functions. Trascendental function is a term often used to describe the trigonometric function(s), i.e., sine, cosine, tangent, cotangent, secant, and cosecant, also. In mathematics, a logarithm of x with base b may be defined as the following: for the equation bn = x, the logarithm is a function which gives n. ... The exponential function is one of the most important functions in mathematics. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ... In mathematics, the word tangent has two distinct, but etymologically related meanings: one in geometry, and one in trigonometry. ... Trigonometry In trigonometry, the cotangent is a function (see trigonometric function) defined as: or An interpretation of the cotangent of an angle x is as follows. ... Secant can refer to: a secant line secant, a trigonometric function, equivalent to sec(x) = 1/cos(x) This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ...

A function which is not transcendental is said to be algebraic. Examples of algebraic functions are rational functions and the square root function. In mathematics, polynomial functions, or polynomials, are an important class of simple and smooth functions. ... In mathematics, the principal square root of a non-negative real number is denoted and represents the non-negative real number whose square (the result of multiplying the number by itself) is . ...

The operation of taking the indefinite integral of a function is a prolific source of transcendental functions, in the way that the logarithm function arises from the reciprocal function. In differential algebra it is studied how integration frequently creates functions algebraically independent of some class taken as 'standard', such as it created by taking polynomials with trigonometric functions. In calculus, an antiderivative or primitive function of a given real valued function f is a function F whose derivative is equal to f, i. ... Wikipedia does not yet have an article with this exact name. ...