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On p-adic gamma function related to q-Daehee polynomials and numbers.
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- Author(s): Duran, Uğur1 ; Açikgöz, Mehmet2
- Source:
Proyecciones - Journal of Mathematics. dic2019, Vol. 38 Issue 4, p799-810. 12p. - Source:
- Additional Information
- Subject Terms:
- Abstract: In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Zp 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. [ABSTRACT FROM AUTHOR]
- Abstract: Copyright of Proyecciones - Journal of Mathematics is the property of Universidad Catolica del Norte, Departamento de Matematicas and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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