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Everything about Barnes G-function
Extension of superfactorials to the complex numbers
In mathematics, the Barnes G-function is a function that is an extension of superfactorials to the complex numbers. It is related to the gamma function, the K-function and the Glaisher–Kinkelin constant, and was named after mathematician Ernest William Barnes. It can be written in terms of the double gamma function. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Barnes G-functionA 5-minute orientation
- Skim a recent paper: Further Geometric Properties of the Barnes–Mittag-Leffler 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: Uniform asymptotic expansions for the Barnes double gamma functionCited 20 times
- Go sideways: Multiplication theoremA closely related topic
- Go sideways: Q-gamma functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Uniform asymptotic expansions for the Barnes double gamma function
THE BARNES ζ-FUNCTION, SPHERE DETERMINANTS AND GLAISHER–KINKELIN–BENDERSKY CONSTANTS
Asymptotic expansions for Barnes G -function
Symbolic and numeric computations of the Barnes function
The Remainder in Ruijsenaars’ Asymptotic Expansion of Barnes Double Gamma Function
Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma function
On the Barnes double gamma function
Zeros of the digamma function and its BarnesG-function analogue
🆕 Influential since 2022
Further Geometric Properties of the Barnes–Mittag-Leffler Function
Computing the Barnes G-function and the gamma function in the entire complex plane
Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function
On values of the higher derivatives of the Barnes zeta function at non-positive integers
Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function
📚 Books worth reading
Bulletin of the United States Army Medical DepartmentUnited States. Army Medical Service. · 1944
Precision measurement and calibrationUnited States. National Bureau of Standards. · 1961
Biological AgingTrygve O. Tollefsbol · 2005
Handbook of Clinical Family TherapyJay L. Lebow · 2005- 📕Cognitive reserveYaakov Stern · 2007
Interleukin-10Francesco M. Marincola · 2005
Advances and applications in electroceramicsK. M. Nair, Quanxi Jia · 2011
Handbook of cognitive agingDuane F. Alwin · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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