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Everything about Trigamma function
Mathematical function
In mathematics, the trigamma function, denoted ψ1(z) or ψ(1)(z), is the second of the polygamma functions, and is defined by. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Trigamma functionA 5-minute orientation
- Skim a recent paper: Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma functionInfluential work since 2022
- Pick up a classic book: Tables of the digamma and trigamma functionsThe most-reprinted book on the subject
- Read the landmark paper: Computation of the Gamma, Digamma, and Trigamma FunctionsCited 42 times
- Go sideways: Polygamma functionA closely related topic
- Go sideways: Digamma functionA closely related topic
📖 Definitions
Noun The second of the polygamma functions, after the digamma function.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Computation of the Gamma, Digamma, and Trigamma Functions
Algorithm AS 121: Trigamma Function
Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function
Completely monotonic functions related to the q-gamma and the q-trigamma functions
A Double Inequality for the Trigamma Function and Its Applications
Complete monotonicity of functions involving the $$q$$ q -trigamma and $${q}$$ q -tetragamma functions
Completely monotonic degree of a function involving trigamma and tetragamma functions
On the curvature of the trigamma function
🆕 Influential since 2022
Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function
Necessary and Sufficient Conditions for a Difference Defined by Four Derivatives of a Function Containing Trigamma Function to be Completely Monotonic
Probabilistic Multiple-Integral Evaluation of Odd Dirichlet Beta and Even Zeta Functions and Proof of Digamma-Trigamma Reflections
A trigamma-free approach for computing information matrices related to trigamma function
📚 Books worth reading
Tables of the digamma and trigamma functionsEleanor Pairman · 1919
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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