Mathieu function
solutions to Mathieu's differential equations, which are second order linear differential equation
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Mathieu function
Summary
Mathieu function is a mathematical concept[1]. It draws 114 Wikipedia views per month (mathematical_concept category, ranking #167 of 1,007).[2]
Key Facts
- Mathieu function's instance of is recorded as mathematical concept[3].
- Mathieu function's instance of is recorded as function[4].
- Émile Léonard Mathieu is named after Mathieu function[5].
- Mathieu function's Library of Congress authority ID is recorded as sh85082191[6].
- Mathieu function's Bibliothèque nationale de France ID is recorded as 12292729s[7].
- Mathieu function's NDL Authority ID is recorded as 00567523[8].
- Mathieu function's BNCF Thesaurus ID is recorded as 58201[9].
- Mathieu function's Freebase ID is recorded as /m/05rbd8[10].
- Mathieu function's defining formula is recorded as \begin{align} \text{ce}{2n}(x, q) &= \sum{r=0}^{\infty} A^{(2n)}{2r}(q) \cos (2 r x) \ \text{ce}{2n+1}(x, q) &= \sum_{r=0}^{\infty} A^{(2n+1)}{2r+1}(q) \cos \left[ (2r+1) x \right] \ \text{se}{2n+1}(x, q) &= \sum_{r=0}^{\infty} B^{(2n+1)}{2r+1}(q) \sin \left[(2r+1) x\right] \ \text{se}{2n+2}(x, q) &= \sum_{r=0}^{\infty} B^{(2n+2)}_{2r+2}(q) \sin \left[(2r+2) x\right] \ \end{align}[11].
- Mathieu function's MathWorld ID is recorded as MathieuFunction[12].
- Mathieu function's Great Russian Encyclopedia Online ID is recorded as 2194885[13].
- Mathieu function's JSTOR topic ID is recorded as mathieu-function[14].
- Mathieu function's maintained by WikiProject is recorded as WikiProject Mathematics[15].
- Mathieu function's Microsoft Academic ID is recorded as 157097347[16].
- Mathieu function's Encyclopedia of Mathematics article ID is recorded as Mathieu_equation[17].
- Mathieu function's National Library of Israel J9U ID is recorded as 987007557994405171[18].
- Mathieu function's solution to is recorded as second order linear differential equation[19].
- Mathieu function's OpenAlex ID is recorded as C157097347[20].
- Mathieu function's Yale LUX ID is recorded as concept/fc020a1a-9180-4780-868c-b9dcb731f48c[21].
Why It Matters
Mathieu function draws 114 Wikipedia views per month (mathematical_concept category, ranking #167 of 1,007).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[22] It is known by 12 alternative names across languages and contexts.[23]