A parametric kind of the poly-Bernoulli polynomials

Volume 21, Issue 4, pp 309--321 http://dx.doi.org/10.22436/jmcs.021.04.04
Publication Date: May 15, 2020 Submission Date: February 18, 2020 Revision Date: April 11, 2020 Accteptance Date: April 14, 2020


Mohd Ghayasuddin - Department of Mathematics, Integral University Campus, Shahjahanpur-242001, India. Sunil K. Sharma - College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia. Waseem A. Khan - Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P. O. Box: 1664, Al Khobar 31952, Saudi Arabia.


In this paper, we propose a parametric kind of poly-Bernoulli polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relations with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we derive two interesting connections of our parametric poly-Bernoulli polynomials with the familiar Voigt functions.

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ISRP Style

Mohd Ghayasuddin, Sunil K. Sharma, Waseem A. Khan, A parametric kind of the poly-Bernoulli polynomials, Journal of Mathematics and Computer Science, 21 (2020), no. 4, 309--321

AMA Style

Ghayasuddin Mohd, Sharma Sunil K., Khan Waseem A., A parametric kind of the poly-Bernoulli polynomials. J Math Comput SCI-JM. (2020); 21(4):309--321

Chicago/Turabian Style

Ghayasuddin, Mohd, Sharma, Sunil K., Khan, Waseem A.. "A parametric kind of the poly-Bernoulli polynomials." Journal of Mathematics and Computer Science, 21, no. 4 (2020): 309--321