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мат. символ {м} Похгаммера | Pochhammer symbol |

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Usage Examples English

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- 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. - According to Wilhem Von
**Pochhammer**, Antiochus III, 6th successor of Seleucus, was resisted not by Mauryas but by a local ruler named Subhagasena. - Stirling numbers express coefficients in expansions of falling and rising factorials (also known as the
**Pochhammer**symbol) as polynomials.

- Bernhard Windscheid married the artist Auguste Eleanore Charlotte "Lotte"
**Pochhammer**(1830–1918) on 4 November 1858. - The
**Pochhammer**products have an important role in the Pentagonal number theorem and its derivation. - This seemingly complicated formula involves Stirling numbers and
**Pochhammer**symbols, but can be very easily calculated. - 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. - This
**Pochhammer**contour integral converges for all values of [...] and [...] and so gives the analytic continuation of the beta function. - 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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