Mouloud Goubi

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 26, 2020, Number 4, Pages 93–102

DOI: 10.7546/nntdm.2020.26.4.93-102

**Full paper (PDF, 215 Kb)**

## Details

### Authors and affiliations

Mouloud Goubi

*Department of Mathematics, University of UMMTO
Tizi-Ouzou 15000, Algeria
*

### Abstract

The present article deals with a recent study of a new class of* q*-Hermite-based Apostol-type polynomials introduced by Waseem A. Khan and Divesh Srivastava. We give their explicit formula and study a generalized class depending in any *q*-analog generating function.

### Keywords

*q*-Hermite-based Apostol-type polynomials*q*-analog Cauchy product*f*-Hermitebased Apostol-type polynomials and numbers_{q}

### 2010 Mathematics Subject Classification

- 05A10
- 05A15
- 11B68
- 16B65

### References

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*q*-Appell polynomials, Appl. Math. Comput., 245, 539–543. - Khan, W. A., & Srivastava, D. (2020). A new class of
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*q*-parameter, Stud. Univ. Babes-Bolayi, Math., 65 (1), 3–15. - Khan, W. A., & Khan, I. A. (2020). A note on (
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*q*-Hermite based Frobenius type Eulerian polynomials.*Notes on Number Theory and Discrete Mathematics*, 26 (2), 127–141. - Khan, W. A., & Srivastava, D. (2019). A study of poly-Bernoulli polynomials associated with Hermite polynomials with q-parameter. Honam Mathematical J., 41 (4), 781–798.
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- Khan, W. A., & Srivastava, D. (2021). Certain properties of Apostol-type Hermite-based Frobenius–Genocchi polynomials, Kragujevac Journal of Mathematics, 45 (6), 859–872.

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## Cite this paper

Goubi, M. (2020). Explicit formula of a new class of *q*-Hermite-based Apostol-type polynomials and generalization. *Notes on Number Theory and Discrete Mathematics*, 26 (4), 93-102, DOI: 10.7546/nntdm.2020.26.4.93-102.