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Generalized Pochhammer symbol

In mathematics, the generalized Pochhammer symbol of parameter and partition generalizes the classical Pochhammer symbol, named after Leo August Pochhammer, and is defined as

It is used in multivariate analysis.

References

  • Dunkl, Charles F.; Xu, Yuan (2001), Orthogonal Polynomials of Several Variables, Encyclopedia of Mathematics and its Applications, vol. 81, Cambridge University Press, p. 308, ISBN 9780521800433

generalized, pochhammer, symbol, mathematics, generalized, pochhammer, symbol, parameter, displaystyle, alpha, partition, displaystyle, kappa, kappa, kappa, ldots, kappa, generalizes, classical, pochhammer, symbol, named, after, august, pochhammer, defined, di. In mathematics the generalized Pochhammer symbol of parameter a gt 0 displaystyle alpha gt 0 and partition k k 1 k 2 k m displaystyle kappa kappa 1 kappa 2 ldots kappa m generalizes the classical Pochhammer symbol named after Leo August Pochhammer and is defined as a k a i 1 m j 1 k i a i 1 a j 1 displaystyle a kappa alpha prod i 1 m prod j 1 kappa i left a frac i 1 alpha j 1 right It is used in multivariate analysis References EditDunkl Charles F Xu Yuan 2001 Orthogonal Polynomials of Several Variables Encyclopedia of Mathematics and its Applications vol 81 Cambridge University Press p 308 ISBN 9780521800433 This number theory related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Generalized Pochhammer symbol amp oldid 841859426, wikipedia, wiki, book, books, library,

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