Certain results of 2-variable \(q\)-generalized tangent-Apostol-type polynomials
Volume 22, Issue 3, pp 238--251
http://dx.doi.org/10.22436/jmcs.022.03.04
Publication Date: August 07, 2020
Submission Date: May 12, 2019
Revision Date: November 11, 2019
Accteptance Date: December 15, 2019
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Authors
Ghazala Yasmin
- Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India.
Abdulghani Muhyi
- Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India.
- Department of Mathematics, Hajjah University, Hajjah, Yemen.
Abstract
The present article aims to introduce and investigate a new class of \(q\)-hybrid special polynomials, namely 2-variable \(q\)-generalized tangent-Apostol-type polynomials. The generating function, series definition and many other useful relations and identities of this class are established. In addition, certain members of 2-variable \(q\)-generalized tangent-Apostol-type family are investigated and some properties of these members are obtained. The graphical representations of these members are shown for several values of indices with the help of Matlab. Further, the distributions of zeros of these members are displayed.
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ISRP Style
Ghazala Yasmin, Abdulghani Muhyi, Certain results of 2-variable \(q\)-generalized tangent-Apostol-type polynomials, Journal of Mathematics and Computer Science, 22 (2021), no. 3, 238--251
AMA Style
Yasmin Ghazala, Muhyi Abdulghani, Certain results of 2-variable \(q\)-generalized tangent-Apostol-type polynomials. J Math Comput SCI-JM. (2021); 22(3):238--251
Chicago/Turabian Style
Yasmin, Ghazala, Muhyi, Abdulghani. "Certain results of 2-variable \(q\)-generalized tangent-Apostol-type polynomials." Journal of Mathematics and Computer Science, 22, no. 3 (2021): 238--251
Keywords
- \(q\)-calculus
- \(q\)-tangent polynomials and numbers
- \(q\)-Apostol-type polynomials and numbers
- generating functions
MSC
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