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NOUN | a Pochhammer symbol | Pochhammer symbols |

мат. символ {м} Похгаммера | Pochhammer symbol | ||

символ {м} | 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**. - 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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