International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 2 (February 2018), Pages: 56-59

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 Original Research Paper

 Title: The volkenborn integral of the p-adic gamma function

 Author(s): Özge Çolakoğlu Havare *, Hamza Menken

 Affiliation(s):

 Department of Mathematics, Science and Arts Faculty, Mersin University, Mersin, Turkey

 https://doi.org/10.21833/ijaas.2018.02.009

 Full Text - PDF          XML

 Abstract:

In the present work the p-adic gamma function has been considered. The Volkenborn integral of the p-adic gamma function by using its Mahler expansion has been derived. Moreover, a new representation for the p-adic Euler constant has been given. 

 © 2017 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: 𝑝-Adic gamma function, Volkenborn integral, Mahler coefficients

 Article History: Received 22 May 2017, Received in revised form 2 November 2017, Accepted 2 December 2017

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.02.009

 Citation:

 Havare ÖÇ and Menken H (2018). The volkenborn integral of the p-adic gamma function. International Journal of Advanced and Applied Sciences, 5(2): 56-59

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I2/Havare.html

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