On a $k$-extension of the Nielsen's $\beta$-Function | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 16، دوره 9، شماره 2، اسفند 2018، صفحه 191-201 اصل مقاله (406.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.12972.1668 | ||
| نویسندگان | ||
| Kwara Nantomah* 1؛ Kottakkaran Sooppy Nisar2؛ Kuldeep Singh Gehlot3 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, Ghana | ||
| 2Department of Mathematics, College of Arts and Science-Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Alkharj, Kingdom of Saudi Arabia | ||
| 3Government College Jodhpur, JNV University Jodhpur, Rajasthan, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Nielsen's $\beta$-function؛ $k$-extension؛ $k$-digamma function؛ inequality | ||
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