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45 relations: Abel equation, Academic Press, Algebraic equation, Basis (linear algebra), Böttcher's equation, Bellman equation, Birkhäuser, Bohr–Mollerup theorem, Cambridge University Press, Cauchy's functional equation, Charles Babbage, Continuous function, Dynamic programming, Equation, Exponential function, Fixed-point iteration, Function (mathematics), Functional differential equation, Functional equation (L-function), Gamma function, If and only if, Implicit function, Integer, Involution (mathematics), János Aczél (mathematician), Leonhard Euler, Logarithm, Marek Kuczma, Mathematical analysis, Mathematics, Modular form, Parallelogram law, Princeton University Press, Rational number, Real number, Real-valued function, Recurrence relation, Reflection formula, Riemann zeta function, Schröder's equation, Shift operator, Springer Science+Business Media, Taylor & Francis, Vector space, World Scientific.
Abel equation
The Abel equation, named after Niels Henrik Abel, is a type of functional equation which can be written in the form or, equivalently, and controls the iteration of.
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Academic Press
Academic Press is an academic book publisher.
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Algebraic equation
In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.
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Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
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Böttcher's equation
Böttcher's equation is the functional equation where.
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Bellman equation
A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming.
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Birkhäuser
Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.
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Bohr–Mollerup theorem
In mathematical analysis, the Bohr–Mollerup theorem is a theorem named after the Danish mathematicians Harald Bohr and Johannes Mollerup, who proved it.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Cauchy's functional equation
Cauchy's functional equation is the functional equation Solutions to this are called additive functions.
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Charles Babbage
Charles Babbage (26 December 1791 – 18 October 1871) was an English polymath.
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Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
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Dynamic programming
Dynamic programming is both a mathematical optimization method and a computer programming method.
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Equation
In mathematics, an equation is a statement of an equality containing one or more variables.
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Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
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Fixed-point iteration
In numerical analysis, fixed-point iteration is a method of computing fixed points of iterated functions.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Functional differential equation
A functional differential equation (FDE) is a differential equation with deviating argument.
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Functional 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.
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Gamma function
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
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If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
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Implicit function
In mathematics, an implicit equation is a relation of the form R(x_1,\ldots, x_n).
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Involution (mathematics)
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
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János Aczél (mathematician)
János Dezső Aczél (born 26 December 1924) is a Hungarian-Canadian mathematician, who specializes in functional equations and information theory.
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Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Marek Kuczma
Marek Kuczma (10 October 1935 in Katowice – 13 June 1991 in Katowice) was a Polish mathematician working mostly in the area of functional equations.
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Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Modular form
In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.
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Parallelogram law
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry.
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Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Real-valued function
In mathematics, a real-valued function is a function whose values are real numbers.
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Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
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Reflection formula
In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x).
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Riemann zeta function
The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.
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Schröder's equation
Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function, find the function such that: Schröder's equation is an eigenvalue equation for the composition operator, which sends a function to.
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Shift operator
In mathematics, and in particular functional analysis, the shift operator also known as translation operator is an operator that takes a function to its translation.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Taylor & Francis
Taylor & Francis Group is an international company originating in England that publishes books and academic journals.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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World Scientific
World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore.
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References
[1] https://en.wikipedia.org/wiki/Functional_equation
