Odd and Even <i>q</i>-Type Lidstone Polynomial Sequences

Zeinab S. I. Mansour; Maryam  A. Al-Towailb

doi:10.37256/cm.5320243511

Odd and Even q-Type Lidstone Polynomial Sequences

Authors

Zeinab S. I. Mansour Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt https://orcid.org/0000-0002-7451-8393
Maryam A. Al-Towailb Department of Computer Science and Engineering, College of Applied Studies and Community Service, King Saud University, Riyadh, Saudi Arabia https://orcid.org/0000-0002-7628-5167

DOI:

https://doi.org/10.37256/cm.5320243511

Keywords:

q-Lidstone polynomials, q-difference equations, special sequences of q-polynomials, infinite matrices

Abstract

In this paper, we introduce two general classes of q-type Lidstone polynomial sequences. We give some characterizations of these classes, including matrix and determinate representations, generating functions, recurrence relations, and conjugate sequences. Some illustrative examples are included.

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Published

2024-08-13

How to Cite

S. I. Mansour Z, A. Al-Towailb M. Odd and Even <i>q</i>-Type Lidstone Polynomial Sequences . Contemp. Math. [Internet]. 2024 Aug. 13 [cited 2024 Nov. 16];5(3):3139-73. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3511

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Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.