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Everything about Legendre chi function
Mathematical function
In mathematics, the Legendre chi function is a special function whose Taylor series is also a Dirichlet series, given by Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Legendre chi functionA 5-minute orientation
- Skim a recent paper: Special values of Legendre's chi-function and the inverse tangent integralInfluential work since 2022
- Pick up a classic book: Tables of the Legendre functions [rho subscript - 1/2 + iota, tau (chi) [power]The most-reprinted book on the subject
- Read the landmark paper: Values of the Legendre chi and Hurwitz zeta functions at rational argumentsCited 23 times
- Go sideways: Oseen equationsA closely related topic
- Go sideways: Trigonometric substitutionA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Values of the Legendre chi and Hurwitz zeta functions at rational arguments
Integral representations of the Legendre chi function
Third-Order Differential Subordination Results for Meromorphic Functions Associated with the Inverse of the Legendre Chi Function via the Mittag-Leffler Identity
On the Numerical Evaluation of Legendre's Chi-Function
SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION
Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
Two integrals involving the Legendre chi function
On the numerical evaluation of Legendre’s chi-function
🆕 Influential since 2022
đź“š Books worth reading
- 📕Tables of the Legendre functions [rho subscript - 1/2 + iota, tau (chi) [power]M. I. Zhurina · 1964
- 📕On the Gibbs phenomenon VDavid Gottlieb · 1994
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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