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


 Original Research Paper

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

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


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

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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 (

 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:


 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

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