On a $k$-extension of the Nielsen's $\beta$-Function

Document Type : Research Paper

Authors
1 Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Ghana
2 Department of Mathematics, College of Arts and Science-Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Alkharj, Kingdom of Saudi Arabia
3 Government College Jodhpur, JNV University Jodhpur, Rajasthan, India
Abstract
Motivated by the $k$-digamma function, we introduce a $k$-extension of the Nielsen's $\beta$-function, and further study some properties and inequalities of the new function.
Keywords

Volume 9, Issue 2
December 2018
Pages 191-201

  • Receive Date 04 November 2017
  • Revise Date 16 February 2018
  • Accept Date 19 July 2018

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