29 relations: Abramowitz and Stegun, Analytic continuation, Argument of a function, Bickley–Naylor functions, Branch point, Cauchy principal value, Complex logarithm, Complex plane, Confluent hypergeometric function, Digital Library of Mathematical Functions, Divisor, Elementary function, Entire function, Euler–Mascheroni constant, Exponential function, Generating function, Goodwin–Staton integral, Groundwater, Heat transfer, Incomplete gamma function, Integral, List of integrals of exponential functions, Logarithmic integral function, Loss of significance, Neutron transport, Risch algorithm, Special functions, Srinivasa Ramanujan, Trigonometric integral.
Abramowitz and Stegun (AS) is the informal name of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST).
In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function.
In mathematics, an argument of a function is a specific input in the function, also known as an independent variable.
In physics, engineering, and applied mathematics, the Bickley–Naylor functions are a sequence of special functions arising in formulas for thermal radiation intensities in hot enclosures.
In the mathematical field of complex analysis, a branch point of a multi-valued function (usually referred to as a "multifunction" in the context of complex analysis) is a point such that the function is discontinuous when going around an arbitrarily small circuit around this point.
In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.
In complex analysis, a complex logarithm of the non-zero complex number, denoted by, is defined to be any complex number for which.
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity.
The Digital Library of Mathematical Functions (DLMF) is an online project at the National Institute of Standards and Technology to develop a major resource of mathematical reference data for special functions and their applications.
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations, exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of ''n''th roots).
In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic at all finite points over the whole complex plane.
The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
In mathematics the Goodwin–Staton integral is defined as: It satisfies the following third-order nonlinear differential equation：.
Groundwater is the water present beneath Earth's surface in soil pore spaces and in the fractures of rock formations.
Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy (heat) between physical systems.
In mathematics, the upper incomplete gamma function and lower incomplete gamma function are types of special functions, which arise as solutions to various mathematical problems such as certain integrals.
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
The following is a list of integrals of exponential functions.
In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function.
Loss of significance is an undesirable effect in calculations using finite-precision arithmetic such as floating-point arithmetic.
Neutron transport is the study of the motions and interactions of neutrons with materials.
In symbolic computation (or computer algebra), at the intersection of mathematics and computer science, the Risch algorithm is an algorithm for indefinite integration.
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.
Srinivasa Ramanujan (22 December 188726 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems considered to be unsolvable.
In mathematics, the trigonometric integrals are a family of integrals involving trigonometric functions.