On p-adic Gamma Function Related to q-Daehee Polynomials and Numbers
In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on ℤ_{p} of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee polynomials and numbers of the second kind. Moreover, we discover q-Volkenborn integral of the derivative of p-adic gamma function. We acquire the relationship between the p-adic gamma function and Stirling numbers of the first kind. We finally develop a novel and interesting representation for the p-adic Euler constant by means of the q-Daehee polynomials and numbers.
2019 ◽
Vol 15
(01)
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pp. 67-84
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Keyword(s):
2006 ◽
Vol 49
(1-2)
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pp. 89-125
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2016 ◽
Vol 442
(2)
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pp. 404-434
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