On a $q$-analogue of the Nielsen's $\beta$-Function


Abstract views: 22 / PDF downloads: 18

Authors

  • K. Nantomah Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana
  • M. M. Iddrisu Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana
  • C. A. Okpoti Department of Mathematics, University of Education, Winneba, Ghana

Keywords:

Nielsen's $\beta$-function, Jackson's $q$-integral, $q$-digamma function, $q$-analogue, inequality

Abstract

Motivated by the Jackson's $q$-integral and the $q$-digamma function, we introduce a $q$-analogue of the Nielsen's $\beta$-function. We further study some identities, monotonicity and convexity properties, and some inequalities involving the new function.

 

 

Author Biographies

K. Nantomah, Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana

 

 

M. M. Iddrisu, Department of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana

 

 

C. A. Okpoti, Department of Mathematics, University of Education, Winneba, Ghana

 

 

Downloads

Published

15-05-2018

How to Cite

K. Nantomah, M. M. Iddrisu, & C. A. Okpoti. (2018). On a $q$-analogue of the Nielsen’s $\beta$-Function. International Journal of Mathematics And Its Applications, 6(2 - A), 163–171. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/659

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.