On a Ramanujan type entire function and its zeros
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Article number | 123856 |
Journal / Publication | Journal of Mathematical Analysis and Applications |
Volume | 485 |
Issue number | 2 |
Online published | 13 Jan 2020 |
Publication status | Published - 15 May 2020 |
Link(s)
Abstract
In this paper, we derive some properties of a Ramanujan type entire function. A mild generalization of the Garret-Ismail-Stanton m-version of the Rogers-Ramanujan identities is obtained. Moreover, we investigate the zeros of the Ramanujan type entire function, and our results generalize those for the zeros of the Ramanujan function. Finally, an integral equation related to the Ramanujan type entire function is also derived.
Research Area(s)
- Ramanujan type entire function, Rogers-Ramanujan identities, Zeros, Integral Equation
Bibliographic Note
Research Unit(s) information for this publication is provided by the author(s) concerned.
Citation Format(s)
On a Ramanujan type entire function and its zeros. / Dai, Dan; Ismail, Mourad E.H.; Wang, Xiang-Sheng.
In: Journal of Mathematical Analysis and Applications, Vol. 485, No. 2, 123856, 15.05.2020.
In: Journal of Mathematical Analysis and Applications, Vol. 485, No. 2, 123856, 15.05.2020.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review