Polylogarithmus
WebFree multilingual online dictionary and synonyms database . Woxikon / English dictionary / F / Fonction polylogarithme . FR French dictionary: Fonction polylogarithme WebVerificați traducerile „Polylogarithmus” în română. Vizionați exemple de traducere Polylogarithmus în propoziții, ascultați pronunția și învățați gramatica.
Polylogarithmus
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WebEvaluation. Zeta Functions and Polylogarithms. PolyLog [ nu, z] (224 formulas) Primary definition (1 formula) Der Polylogarithmus ist eine spezielle Funktion, die durch die Reihe definiert ist. Für geht der Polylogarithmus in den gewöhnlichen Logarithmus über: In den Fällen und spricht man entsprechend von Dilogarithmus bzw. Trilogarithmus. Die Definition gilt für komplexe und mit . Durch analytische Fortsetzung lässt sich diese Definition auf weitere ausdehnen.
In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or a rational function. In quantum statistics, the … See more In the case where the order $${\displaystyle s}$$ is an integer, it will be represented by $${\displaystyle s=n}$$ (or $${\displaystyle s=-n}$$ when negative). It is often convenient to define Depending on the … See more • For z = 1, the polylogarithm reduces to the Riemann zeta function Li s ( 1 ) = ζ ( s ) ( Re ( s ) > 1 ) . {\displaystyle \operatorname {Li} _{s}(1)=\zeta (s)\qquad (\operatorname {Re} (s)>1).} • The polylogarithm is related to Dirichlet eta function and … See more For z ≫ 1, the polylogarithm can be expanded into asymptotic series in terms of ln(−z): where B2k are the Bernoulli numbers. Both versions hold for all s and for any arg(z). As usual, the summation should be terminated when the … See more For particular cases, the polylogarithm may be expressed in terms of other functions (see below). Particular values for the … See more Any of the following integral representations furnishes the analytic continuation of the polylogarithm beyond the circle of … See more 1. As noted under integral representations above, the Bose–Einstein integral representation of the polylogarithm may be extended to … See more The dilogarithm is the polylogarithm of order s = 2. An alternate integral expression of the dilogarithm for arbitrary complex argument z is (Abramowitz & Stegun 1972, § 27.7): See more WebDer Polylogarithmus wird in diesem Zusammenhang manchmal als Fermi-Integral oder Fermi-Dirac-Integral bezeichnet. (GNU) > Der Polylogarithmus kann stattdessen allgemein …
WebNot to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or … WebThe polylogarithm , also known as the Jonquière's function, is the function. (1) defined in the complex plane over the open unit disk. Its definition on the whole complex plane then …
WebThe Dirichlet eta function is a special case of Polylogarithmus because it is: As such it is a special case of lerch between zeta function: Also, applies Analytic continuation Harmonic …
WebPolylogarithmus is the translation of "Función polilogarítmica" into German. Función polilogarítmica + Add translation Add Función polilogarítmica "Función polilogarítmica" in … rick wakeman heart attackWebdict.cc German-English Dictionary: Translation for Polylogarithmus [selten Jonquière Funktion] rick wakeman greatest hitsWebPolylogarithmus. mathematische Funktion . wikidata Afișați traduceri generate algoritmic. Traducerile automate ale " polilogaritm" în germană . Glosbe Translate Google Translate … rick wakeman hall of fame speechWebArchivserver der Deutschen Nationalbibliothek rick wakeman king arthur 2016WebIn mathematics, the Clausen function, introduced by Thomas Clausen (), is a transcendental, special function of a single variable. It can variously be expressed in the form of a definite … rick wakeman gone but not forgottenWebDefinitions of Legendresche Differentialgleichung, synonyms, antonyms, derivatives of Legendresche Differentialgleichung, analogical dictionary of Legendresche Differentialgleichung (German) rick wakeman keyboard mixerWebThread: [Maxima-commits] Maxima, A Computer Algebra System branch, master, updated. b2d26780c0c49ff1d9b5810 Computer Algebra System written in Common Lisp rick wakeman landscapes of middle earth
