Live briefing
Everything about Exponential integral
Special function defined by an integral
In mathematics, the exponential integral is a special function on the complex plane. It is defined as one particular definite integral of the ratio between an exponential function and its argument. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Exponential integralA 5-minute orientation
- Skim a recent paper: PSO-based image encryption scheme using modular integrated logistic exponential mapInfluential work since 2022
- Pick up a classic book: Gap and density theoremsThe most-reprinted book on the subject
- Read the landmark paper: Adaptive Exponential Integrate-and-Fire Model as an Effective Description of Neuronal ActivityCited 1,232 times
- Go sideways: Trigonometric integralA closely related topic
- Go sideways: Logarithmic integral functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Adaptive Exponential Integrate-and-Fire Model as an Effective Description of Neuronal Activity
Exponential integrators
A table of integrals of exponential integral
Tables of the Exponential Integral Ei(x)
XX. Tables of the numerical values of the sine-integral, cosine-integral, and exponential-integral
On exponential stability of integral delay systems
An exponential heat balance integral method
Analysis of thermal processes: The exponential integral
🆕 Influential since 2022
PSO-based image encryption scheme using modular integrated logistic exponential map
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
Estimations of Bounds on the Multiplicative Fractional Integral Inequalities Having Exponential Kernels
On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued mappings
Novel exponential-weighted integral inequality for exponential stability analysis of time-varying delay systems
📚 Books worth reading
Gap and density theoremsNorman Levinson · 1940
Intégrales exponentiellesEdmond Combet · 1982- 📕Tablit͡s︡y dli͡a︡ vychislenii͡a︡ integralov ot funkt͡s︡iĭ so stepennymi osobennosti͡a︡miKrylov, V. I. · 1971
- 📕Numerical values of certain functions involving e -x [superscript]W. Lash Miller · 1995
- 📕Numerical values of certain functions involving e-nW. Lash Miller · 1904
- 📕Circular and hyperbolic functions exponential sine and cosine integrals factorial (gamma) and derived functions integrals of probability integralBritish Association for the Advancement of Science. Committee for the Calculation of Mathematical Tables · 1931
Fourier transforms in the complex domainRaymond E. A. C. Paley · 1977
Gap and Density Theorems (Colloquium Publications (Amer Mathematical Soc))N. Levinson · 1963
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Trigonometric integral In mathematics, trigonometric integrals are a family of nonelementary integrals involving trigonometric functions. The different sine integral definitions…
- Logarithmic integral function In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It is relevant in problems of physics and has number…
- Incomplete gamma function In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to certain integrals. Their respective…
- Airy function In mathematics, the Airy function (or Airy function of the first kind) 𝐀𝐢(𝒙) is a special function named after the British astronomer George Biddell…
- Bessel function Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena…
- Fresnel integral The Fresnel integrals S(x) and C(x), and their auxiliary functions F(x) and G(x) are transcendental functions named after Augustin-Jean Fresnel that are…
- Digamma function In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ(z)=ddzlnΓ(z)=Γ′(z)Γ(z). It is the first of the…
- Gamma function This article uses technical mathematical notation for logarithms. All instances of log(x) without a subscript base should be interpreted as a natural…