Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications

Eda Yülüklü

doi:10.54287/gujsa.1879079

Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications

Abstract

Integrals and derivatives serve as fundamental instruments across virtually all scientific disciplines. Due to their extensive application, researchers have consistently sought to develop novel identities and formulas for both operations. This study aims to introduce several new integral formulas involving Hermite-based Peters-type Simsek polynomials, alongside their associated functions. These results establish connections with logarithmic functions and various special sequences, including bivariate Hermite polynomials and Peters-type Simsek numbers. Additionally, the paper provides insightful remarks and observations regarding the finding.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Eda Yülüklü ^*
0000-0001-6887-6760
Türkiye

Publication Date

June 30, 2026

Submission Date

February 1, 2026

Acceptance Date

June 14, 2026

Published in Issue

Year 2026 Volume: 13 Number: 2

DOI

https://doi.org/10.54287/gujsa.1879079

IZ

https://izlik.org/JA67WP87AD

Cite

RIS / Bibtex

APA

Yülüklü, E. (2026). Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications. Gazi University Journal of Science Part A: Engineering and Innovation, 13(2), 601-613. https://doi.org/10.54287/gujsa.1879079

AMA

1.Yülüklü E. Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications. GU J Sci, Part A. 2026;13(2):601-613. doi:10.54287/gujsa.1879079

Chicago

Yülüklü, Eda. 2026. “Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications”. Gazi University Journal of Science Part A: Engineering and Innovation 13 (2): 601-13. https://doi.org/10.54287/gujsa.1879079.

EndNote

Yülüklü E (June 1, 2026) Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications. Gazi University Journal of Science Part A: Engineering and Innovation 13 2 601–613.

IEEE

[1]E. Yülüklü, “Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications”, GU J Sci, Part A, vol. 13, no. 2, pp. 601–613, June 2026, doi: 10.54287/gujsa.1879079.

ISNAD

Yülüklü, Eda. “Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications”. Gazi University Journal of Science Part A: Engineering and Innovation 13/2 (June 1, 2026): 601-613. https://doi.org/10.54287/gujsa.1879079.

JAMA

1.Yülüklü E. Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications. GU J Sci, Part A. 2026;13:601–613.

MLA

Yülüklü, Eda. “Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications”. Gazi University Journal of Science Part A: Engineering and Innovation, vol. 13, no. 2, June 2026, pp. 601-13, doi:10.54287/gujsa.1879079.

Vancouver

1.Eda Yülüklü. Integral Formulas for Hermite-Based Peters-Type Simsek Polynomials and Their Applications. GU J Sci, Part A. 2026 Jun. 1;13(2):601-13. doi:10.54287/gujsa.1879079