On a Ramanujan type entire function and its zeros

Dan Dai; Mourad E.H. Ismail; Xiang-Sheng Wang

doi:10.1016/j.jmaa.2020.123856

On a Ramanujan type entire function and its zeros

Dan Dai^*, Mourad E.H. Ismail, Xiang-Sheng Wang

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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.

Original language	English
Article number	123856
Journal	Journal of Mathematical Analysis and Applications
Volume	485
Issue number	2
Online published	13 Jan 2020
DOIs	https://doi.org/10.1016/j.jmaa.2020.123856
Publication status	Published - 15 May 2020

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Research Unit(s) information for this publication is provided by the author(s) concerned.

Research Keywords

Ramanujan type entire function
Rogers-Ramanujan identities
Zeros
Integral Equation

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RGC-funded

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title = "On a Ramanujan type entire function and its zeros",

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.",

keywords = "Ramanujan type entire function, Rogers-Ramanujan identities, Zeros, Integral Equation",

author = "Dan Dai and Ismail, {Mourad E.H.} and Xiang-Sheng Wang",

note = "Research Unit(s) information for this publication is provided by the author(s) concerned.",

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doi = "10.1016/j.jmaa.2020.123856",

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T1 - On a Ramanujan type entire function and its zeros

AU - Dai, Dan

AU - Ismail, Mourad E.H.

AU - Wang, Xiang-Sheng

N1 - Research Unit(s) information for this publication is provided by the author(s) concerned.

PY - 2020/5/15

Y1 - 2020/5/15

N2 - 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.

AB - 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.

KW - Ramanujan type entire function

KW - Rogers-Ramanujan identities

KW - Zeros

KW - Integral Equation

UR - http://www.scopus.com/inward/record.url?scp=85077916775&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85077916775&origin=recordpag

U2 - 10.1016/j.jmaa.2020.123856

DO - 10.1016/j.jmaa.2020.123856

M3 - RGC 21 - Publication in refereed journal

SN - 0022-247X

VL - 485

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 123856

ER -

On a Ramanujan type entire function and its zeros

Abstract

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Research Keywords

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GRF: The Painleve Equations: A Study on Asymptotic Behaviours and Pole Distribution of their Solutions

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On a Ramanujan type entire function and its zeros

Abstract

Bibliographical note

Research Keywords

RGC Funding Information

Access Output

Other Access Options

Permanent Link

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GRF: The Painleve Equations: A Study on Asymptotic Behaviours and Pole Distribution of their Solutions

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