Translation for 'Pochhammer symbol' from English to Russian
NOUN   a Pochhammer symbol | Pochhammer symbols
символ {м} Похгаммера
Pochhammer symbol
символ {м}symbol
2 translations
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Translation for 'Pochhammer symbol' from English to Russian

Pochhammer symbol
символ {м} Похгаммерамат.

символ {м}
Usage Examples English
  • Let's now simplify this relation by giving "ar" in terms of "a"0 instead of "ar"−1. From the recurrence relation (note: below, expressions of the form ("u")"r" refer to the Pochhammer symbol).
  • In the mathematical theory of special functions, the Pochhammer "k"-symbol and the "k"-gamma function, introduced by Rafael Díaz and Eddy Pariguan are generalizations of the Pochhammer symbol and gamma function.
  • More examples of the use of the empty product in mathematics may be found in the binomial theorem (which assumes and implies that "x"0 = 1 for all "x"), Stirling number, König's theorem, binomial type, binomial series, difference operator and Pochhammer symbol.
  • Stirling numbers express coefficients in expansions of falling and rising factorials (also known as the Pochhammer symbol) as polynomials.
  • -Pochhammer symbol and is similar to the product formulation of many modular forms, and specifically the Dedekind eta function.

  • The "q"-Pochhammer symbol is a major building block in the construction of "q"-analogs; for instance, in the theory of basic hypergeometric series, it plays the role that the ordinary Pochhammer symbol plays in the theory of generalized hypergeometric series.
  • Here, [...] denotes the q-Pochhammer symbol.
  • Here ("a";"q")"n" is the q-Pochhammer symbol.
  • The Pochhammer symbol has a generalized version called the generalized Pochhammer symbol, used in multivariate analysis. There is also a [...] -analogue, the [...] -Pochhammer symbol.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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