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Everything about Heun function
Function for Heun's differential equation
In mathematics, the local Heun function is the solution of Heun's differential equation that is holomorphic and 1 at the singular point z = 0. The local Heun function is called a Heun function, denoted Hf, if it is also regular at z = 1, and is called a Heun polynomial, denoted Hp, if it is regular at all three finite singular points z = 0, 1, a. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Heun functionA 5-minute orientation
- Skim a recent paper: Irregular Liouville Correlators and Connection Formulae for Heun FunctionsInfluential work since 2022
- Pick up a classic book: Engineering Modelling and AnalysisThe most-reprinted book on the subject
- Read the landmark paper: Quasinormal modes of Kerr–de Sitter black holes via the Heun functionCited 51 times
- Go sideways: Riemann's differential equationA closely related topic
- Go sideways: Hypergeometric functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Quasinormal modes of Kerr–de Sitter black holes via the Heun function
INTEGRAL EQUATIONS FOR HEUN FUNCTIONS
Incomplete beta-function expansions of the solutions to the confluent Heun equation
Integral relations for heun-class special functions
Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
Normalization integrals of orthogonal Heun functions
The analytic solution for the power series expansion of Heun function
Exact low-temperature Green’s functions in AdS/CFT: From the Heun equation to the confluent Heun equation
🆕 Influential since 2022
Irregular Liouville Correlators and Connection Formulae for Heun Functions
The confluent Heun functions in black hole perturbation theory: a spacetime interpretation
A quadratic transformation for a special confluent Heun function
Elementary integral series for Heun functions: Application to black-hole perturbation theory
The Grad–Shafranov Equation in Cap-Cyclide Coordinates: The Heun Function Solution
📚 Books worth reading
Engineering Modelling and AnalysisDavid Walker, Michael Leonard · 2009- 📕Die kugelfunctionen und Lamé'schen functionen als determinanten ..Karl Heun · 1881
NIST Handbook of Mathematical FunctionsNational Institute of Standards and Technology (U.S.) · 2010- 📕Key developments in constitutionalism and constitutional lawInternational Association of Constitutional Law. Round Table Conference · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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