SPECIAL VALUES OF SOME EXTENSIONS OF ZETA FUNCTION VIA BETA DISTRIBUTIONS
2012 ◽
Vol 15
(02)
◽
pp. 1250008
Keyword(s):
In this paper, we show the Basel problem via the beta distributions, which include the free Poisson distribution and positive arcsine law. This is a generalization of Ref. 2 by Fujita. We also obtain special values of an extension of generalized Hurwitz–Lerch zeta function, which was introduced by Gang, Jain and Kalla.
Keyword(s):
1993 ◽
Vol 119
(1)
◽
pp. 35-35
◽
Keyword(s):
2011 ◽
Vol 62
(1)
◽
pp. 516-522
◽
2018 ◽
2007 ◽
Vol 186
(2)
◽
pp. 1559-1571
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2015 ◽
Vol 259
◽
pp. 1019-1029
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