A Note on Some Reduction Formulas for the Incomplete Beta Function and the Lerch Transcendent
Keyword(s):
We derive new reduction formulas for the incomplete beta function Bν,0,z and the Lerch transcendent Φz,1,ν in terms of elementary functions when ν is rational and z is complex. As an application, we calculate some new integrals. Additionally, we use these reduction formulas to test the performance of the algorithms devoted to the numerical evaluation of the incomplete beta function.
1968 ◽
Vol 22
(101)
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pp. 159-159
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1979 ◽
Vol 65
(4)
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pp. 1061-1065
1975 ◽
Vol 29
(132)
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pp. 1109-1109
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1999 ◽
Vol 8
(3-4)
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pp. 233-236
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2014 ◽
pp. 525-530