# Analytical properties of extended Hermite-Bernoulli polynomials

Volume 20, Issue 4, pp 292--301
Publication Date: February 28, 2020 Submission Date: October 08, 2019 Revision Date: December 09, 2019 Accteptance Date: January 16, 2020
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### Authors

Nabiullah Khan - Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India. Naeem Ahmad - Department of Mathematics, College of Science, Jouf University, P. O. Box 2014, Sakaka, Saudi Arabia. Mohd Ghayasuddin - Department of Mathematics, Integral University Campus, Shahjahanpur-242001, India.

### Abstract

This article aims to present a new family of extended Hermite-Bernoulli polynomials by making use of the Mittag-Leffler function. We also derive some analytical properties of our proposed extended Hermite-Bernoulli polynomials systematically. Furthermore, some concluding remarks of our present investigation are also pointed out in the last section.

### Share and Cite

##### ISRP Style

Nabiullah Khan, Naeem Ahmad, Mohd Ghayasuddin, Analytical properties of extended Hermite-Bernoulli polynomials, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 292--301

##### AMA Style

Khan Nabiullah, Ahmad Naeem, Ghayasuddin Mohd, Analytical properties of extended Hermite-Bernoulli polynomials. J Math Comput SCI-JM. (2020); 20(4):292--301

##### Chicago/Turabian Style

Khan, Nabiullah, Ahmad, Naeem, Ghayasuddin, Mohd. "Analytical properties of extended Hermite-Bernoulli polynomials." Journal of Mathematics and Computer Science, 20, no. 4 (2020): 292--301

### Keywords

• Hermite polynomials
• Bernoulli polynomials
• Hermite-Bernoulli polynomials
• Mittag-Leffler function

•  33C45
•  11B68
•  33E12

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