Qi, F.; Niu, D.-W.; Guo, B.-N. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. RACSAM 2018, doi:10.1007/s13398-018-0494-z.
Qi, F.; Niu, D.-W.; Guo, B.-N. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. RACSAM 2018, doi:10.1007/s13398-018-0494-z.
Qi, F.; Niu, D.-W.; Guo, B.-N. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. RACSAM 2018, doi:10.1007/s13398-018-0494-z.
Qi, F.; Niu, D.-W.; Guo, B.-N. Some identities for a sequence of unnamed polynomials connected with the Bell polynomials. RACSAM 2018, doi:10.1007/s13398-018-0494-z.
Abstract
In the paper, using two inversion theorems for the Stirling numbers and binomial coecients, employing properties of the Bell polynomials of the second kind, and utilizing a higher order derivative formula for the ratio of two di erentiable functions, the authors present two explicit formulas, a determinantal expression, and a recursive relation for a sequence of unnamed polynomials, derive two identities connecting the sequence of unnamed polynomials with the Bell polynomials, and recover a known identity connecting the sequence of unnamed polynomials with the Bell polynomials.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
15 August 2017
Commenter:
Feng Qi
Commenter's Conflict of Interests:
I am the first author of this preprint
Comment:
In the paper, using two inversion theorems for the Stirling numbers and binomial coefficients, employing properties of the Bell polynomials of the second kind, and utilizing a higher order derivative formula for the ratio of two differentiable functions, the authors present two explicit formulas, a determinantal expression, and a recursive relation for a sequence of unnamed polynomials, derive two identities connecting the sequence of unnamed polynomials with the Bell polynomials, and recover a known identity connecting the sequence of unnamed polynomials with the Bell polynomials.
Received:
5 January 2018
Commenter:
Feng Qi
Commenter's Conflict of Interests:
I am the first and corresponding author of this manuscript
Comment:
This manuscript has been formally accepted on 4 January 2018 by the Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales--Serie A: Matemáticas
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Commenter's Conflict of Interests:
I am the first and corresponding author
Comment:
A slightly revisd version of this preprint has been formally published as
Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials, Revista de la Real Academia de Ciencias Exactas, Fíisicas y NaturalesSerie A: Matemáticas 113 (2019), no. 2, 557567; available online at https://doi.org/10.1007/s13398-018-0494-z
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first author of this preprint
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author of this manuscript
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
https://doi.org/10.1007/s13398-018-0494-z
Commenter: Feng Qi
Commenter's Conflict of Interests: I am the first and corresponding author
Springer nature 2x Shared it
Dear Author,
Congratulations on publishing "Some identities for a sequence of unnamed polynomials connected with the Bell polynomials" in Revista de la Real Academia de Ciencias Exactas, Físicas y. As part of the Springer Nature SharedIt initiative, you can now publicly share a full-text view-only version of your paper by using the link below. If you have selected an Open Access option for your paper, or where an individual can view content via a personal or institutional subscription, recipients of the link will also be able to download and print the PDF. All readers of your article via the shared link will also be able to use Enhanced PDF features such as annotation tools, one-click supplements, citation file exports and article metrics.
http://rdcu.be/FcbC We encourage you to forward this link to your co-authors, as sharing your paper is a great way to improve the visibility of your work. There are no restrictions on the number of people you may share this link with, how many times they can view the linked article or where you can post the link online.
More information on Springer Nature’s commitment to content sharing is available here.
Sincerely,
Springer Nature
The Springer Nature SharedIt Initiative is powered by ReadCube technology.
Commenter:
Commenter's Conflict of Interests: I am the first and corresponding author
Feng Qi, Da-Wei Niu, and Bai-Ni Guo, Some identities for a sequence of unnamed polynomials connected with the Bell polynomials, Revista de la Real Academia de Ciencias Exactas, Fíisicas y NaturalesSerie A: Matemáticas 113 (2019), no. 2, 557567; available online at https://doi.org/10.1007/s13398-018-0494-z