beta function

Summary

beta function is a function^[1]. It ranks in the top 5% of function entities by monthly Wikipedia readership (686 views/month).^[2]

Key Facts

• beta function's image is recorded as BetaFuncDemo.svg^[3].
• beta function's instance of is recorded as function^[4].
• beta function's instance of is recorded as special function^[5].
• beta function's instance of is recorded as function of several complex variables^[6].
• Leonhard Euler is named after beta function^[7].
• beta function's GND ID is recorded as 4144960-5^[8].
• beta function's NDL Authority ID is recorded as 00560632^[9].
• beta function's Commons category is recorded as Euler beta function^[10].
• beta function's Freebase ID is recorded as /m/01kk92^[11].
• beta function's PSH ID is recorded as 7534^[12].
• beta function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[13].
• beta function's Encyclopædia Britannica Online ID is recorded as science/Euler-beta-function^[14].
• beta function's different from is recorded as beta function^[15].
• beta function's defining formula is recorded as \operatorname{B}(z, w) = \int\limits_0^1 t^{z - 1} (1 - t)^{w - 1} \mathrm{d}t^[16].
• beta function's defining formula is recorded as \operatorname{B}(z, w) = \frac{\operatorname{\Gamma}(z) \operatorname{\Gamma}(w)}{\operatorname{\Gamma}(z + w)}^[17].
• beta function's MathWorld ID is recorded as BetaFunction^[18].
• beta function's maintained by WikiProject is recorded as WikiProject Mathematics^[19].
• beta function's Microsoft Academic ID is recorded as 110029354^[20].
• beta function's Brilliant Wiki ID is recorded as beta-function^[21].
• beta function's ProofWiki ID is recorded as Definition:Beta_Function^[22].
• beta function's in defining formula is recorded as \operatorname{B}(z, w)^[23].
• beta function's in defining formula is recorded as \int_a^b f(x) \, \mathrm{d}x^[24].
• beta function's in defining formula is recorded as \operatorname{\Gamma}(z)^[25].
• beta function's Encyclopedia of Mathematics article ID is recorded as Beta-function^[26].
• beta function's PlanetMath ID is recorded as BetaFunction^[27].

Why It Matters

beta function ranks in the top 5% of function entities by monthly Wikipedia readership (686 views/month).^[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.^[28] It is known by 22 alternative names across languages and contexts.^[29]