Live briefing
Everything about Q-gamma function
Function in q-analog theory
In q-analog theory, the -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related to the double gamma function. It was introduced by Jackson (1905). It is given by when, and if. Here is the infinite -Pochhammer symbol. The -gamma function satisfies the functional equation In addition, the -gamma function satisfies the q-analog of the Bohr–Mollerup theorem, which was found by Richard Askey. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Q-gamma functionA 5-minute orientation
- Skim a recent paper: On the Barnes double gamma functionInfluential work since 2022
- Pick up a classic book: Bulletin of the United States Army Medical DepartmentThe most-reprinted book on the subject
- Read the landmark paper: Note on the Gamma FunctionCited 141 times
- Go sideways: Barnes G-functionA closely related topic
- Go sideways: Goodwin–Staton integralA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Note on the Gamma Function
Inequalities for the gamma function
On gamma function inequalities
Simple Generation of Gamma, Gamma–Gamma, and K Distributions With Exponential Autocorrelation Function
Some gamma function inequalities
Inequalities for Gamma Function Ratios
A completely monotone function related to the Gamma function
Inequalities for the gamma function
🆕 Influential since 2022
On the Barnes double gamma function
ON THE CUMULATIVE DISTRIBUTION FUNCTION OF THE VARIANCE-GAMMA DISTRIBUTION
Euler Phi Function and Gamma Function Based Elliptic Curve Encryption for Secured Group Communication
On Some Bounds for the Gamma Function
On Some Asymptotic Expansions for the Gamma Function
📚 Books worth reading
Bulletin of the United States Army Medical DepartmentUnited States. Army Medical Service. · 1944- 📕Reviews in modern astronomyReinhard Schielicke, Astronomische Gesellschaft (Germany). Meeting · 1996
- 📕Structural Aspects of Quantum Field Theory and Noncommutative GeometryGerhard Grensing · 2013
- 📕On the generalized gamma function and its analogue for q-difference equationsJeanne Starrett LeCaine · 1941
NIST Handbook of Mathematical FunctionsNational Institute of Standards and Technology (U.S.) · 2010
Special Functions of Mathematical (Geo-)PhysicsW. Freeden · 2013
Sources in the development of mathematicsRanjan Roy · 2011
Neuropeptide receptorsIvone Gomes · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Barnes G-function In mathematics, the Barnes G-function G ( z ) {\displaystyle G(z)} is a function that is an extension of superfactorials to the complex numbers. It is…
- Goodwin–Staton integral In mathematics, the Goodwin–Staton integral is the special function G ( z ) = ∫ 0 ∞ e − t 2 t + z d t , | arg z | < π . {\displaystyle G(z)=\int _{0}^{\infty…
- P-adic gamma function In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by Morita…
- List of definite integrals In mathematics, the definite integral ∫ a b f ( x ) d x {\displaystyle \int _{a}^{b}f(x)\,dx} is the area of the region in the xy-plane bounded by the…
- Expander walk sampling In the mathematical discipline of graph theory, the expander walk sampling theorem intuitively states that sampling vertices in an expander graph by doing…
- Euler function In mathematics, the Euler function is given by ϕ ( q ) = ∏ k = 1 ∞ ( 1 − q k ) , | q | < 1. {\displaystyle \phi (q)=\prod _{k=1}^{\infty }(1-q^{k}),\quad…
- Noncentral t-distribution The noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes…
- Partial fractions in complex analysis In complex analysis, a partial fraction expansion is a way of writing a meromorphic function f ( z ) {\displaystyle f(z)} as an infinite sum of rational…