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Article
Peer-Review Record

Symmetric Properties of Carlitz’s Type q-Changhee Polynomials

by Yunjae Kim 1, Byung Moon Kim 2 and Jin-Woo Park 3,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Submission received: 23 October 2018 / Revised: 9 November 2018 / Accepted: 10 November 2018 / Published: 13 November 2018
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with their Applications)

Round  1

Reviewer 1 Report

1.    I think the title of the manuscript might be reformulated. I think the identities are for q-Changhee polynomials. There is no reference to “Carlitz’s type” in the entire manuscript (except the title of a section).

2.    Details on the equation (6) are needed.

3.    A reference should be added where Stirling's number (after (8)) is defined.

4.    Authors need to specify the origin of Eq. (10).

5.    Some editing "glitches" need to be corrected.

6.    There are many "takeovers" of already published works, therefore I think the authors need to emphasize more clearly the contribution of the manuscript from a scientific point of view.

7.    Also, the authors  must strengthen the References section with some articles that use some techniques,  to make the techniques used more plausible, for instance:

 Weak Solutions in Elasticity of Dipolar Porous Materials, Math Probl Eng, Vol. 2008, Art. No. 158908, pp. 1-8, 2008

Author Response

Thank you very much for your valuable and detailed comments.

1. We inserted the definition of Carlitz's type q-Changhee polynomials in the page

2. The equation (6) was obtained by the binomial expansion of (1+\lambda t)^{\frac{[x+y]_q}{\lambda}}, and so we inserted that sentence.

3. We added the reference of the Stirling numbers.

4. We read our paper carefully, and corrected mistypes.

6. We emphasized the contribution of our paper clearly in the end of Introduction section.

7. We added the paper “Weak solutions in Elasticity of Dipolar Porous Materials” as applicable things of our results in the end of Introduction.

Author Response File: Author Response.pdf

Reviewer 2 Report

the article contains some relevant results but it needs to better presented: the abstract and the introduction are poor and also the conclusions.

the core of the paper needs to better justified, for instance in the introduction could be cited the paper:

C. Cesarano, "Operational Methods and New Identities for Hermite Polynomials", Mathematical Modelling of Natural Phenomena12(3), pp. 44-50, 2017 

where are presented some techniques regarding the generating functions used.

Author Response

Thank you very much for your valuable and detailed comments.

1. We corrected the abstract, introduction and conclusion.

2. We inserted the paper “Operational methods and new identities fro hermit polynomials” in the end of Introduction.

3. We read our paper carefully, and corrected mistypes. In addition, we edited our paper to native speaker.

Author Response File: Author Response.pdf

Round  2

Reviewer 1 Report

The authors considered all my suggestions, which led to an improved form of the manuscript.

Author Response

Thank you very much for your valuable and detailed comments.


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