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Everything about Beta function
Mathematical function
In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Beta functionA 5-minute orientation
- Skim a recent paper: Soil microbial network complexity predicts ecosystem function along elevation gradients on the Tibetan PlateauInfluential work since 2022
- Pick up a classic book: Tables of the incomplete Beta-functionThe most-reprinted book on the subject
- Read the landmark paper: Extension of Euler's beta functionCited 186 times
- Go sideways: Ratio distributionA closely related topic
- Go sideways: Euler integralA closely related topic
📖 Definitions
Noun A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function.
🏆 Landmark papers (most cited)
Extension of Euler's beta function
IRS proteins and beta-cell function.
Supersymmetry inspired QCD beta function
Beta-Cell Function in Obesity
Beta-Secretase: Structure, Function, and Evolution
On the elliptic beta function
Overstimulation and beta-cell function.
Beta function and anomalous dimensions
🆕 Influential since 2022
Soil microbial network complexity predicts ecosystem function along elevation gradients on the Tibetan Plateau
Beta-Hydroxybutyrate: A Dual Function Molecular and Immunological Barrier Function Regulator
Role of TGF-Beta Signaling in Beta Cell Proliferation and Function in Diabetes
RFX6 haploinsufficiency predisposes to diabetes through impaired beta cell function
Sox9 regulates alternative splicing and pancreatic beta cell function
📚 Books worth reading
Tables of the incomplete Beta-functionKarl Pearson · 1934
Solved problems in analysisOrin J. Farrell, Bertram Ross · 1971
Beta [beta] mathematics handbookLennart Råde, Lennart Rade · 1988
A proof of the q-Macdonald-Morris conjecture for BCnKevin W. J. Kadell · 1994- 📕Skeletal muscle and hepatic enzyme adaptation to physical training under beta-adrenergic blockade in the ratLi-Li Ji · 1985
Electron radial wave functions and nuclear betadecayHeinrich Behrens · 1982- 📕Percentage points of the beta distributionLewis E. Vogler · 1964
- 📕Ueber Beta- und GammafunctionenJ. Anton Schobloch · 1884
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Ratio distribution A ratio distribution (also known as a quotient distribution) is a probability distribution constructed as the distribution of the ratio (or quotient) of…
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- Distribution of the product of two random variables A product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions…
- 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…
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- 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…