Extension of Euler's beta function
Extension of Euler's beta function
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DOI：
10.1016/s0377-0427(96)00102-1
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发表时间：
1997-02-03
影响因子：
2.4
通讯作者：
Zubair, SM
中科院分区：
文献类型：
--
作者：
Chaudhry, MA;Qadir, A;Zubair, SM
引入了Eulerβ函数的一种推广，类似于最近推广的Euler Gamma函数和Riemann Zeta函数，从而自然而简单地推广了通常的性质和表示.证明了它与Macdonald函数、Error函数和Whittaker函数相联系，并引入了扩展的Beta分布。
An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions, In addition, the extended beta distribution is introduced.