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单词 Fox's H-Function
释义

Fox's H-Function

A very general function defined by




where , , , and are Complex Numbers suchthat the pole of for , 2, ..., coincides with any Pole of for , 2, ..., . In addition , is a Contour in the complex -plane from to such that and lie to the right and left of , respectively.

See also MacRobert's E-Function, Meijer's G-Function


References

Carter, B. D. and Springer, M. D. ``The Distribution of Products, Quotients, and Powers of Independent -Functions.'' SIAM J. Appl. Math. 33, 542-558, 1977.

Fox, C. ``The and -Functions as Symmetrical Fourier Kernels.'' Trans. Amer. Math. Soc. 98, 395-429, 1961.


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