A parametric kind of the poly-Bernoulli polynomials
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Authors
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.
Abstract
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
Keywords
- Polylogarithmic function
- poly-Bernoulli numbers and polynomials
- Voigt functions
MSC
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