NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ'S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$

Volume: 5 Number: 1 April 1, 2017
EN

NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ'S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$

Abstract

The essential purpose of this paper is to give some novel symmetric identities for generalized Carlitz's twisted $q$-Euler polynomials attached to $\chi$ based on the fermionic $p$-adic invariant integral on $Z_p$ under $S_4$.

Keywords

References

  1. [1] Apostol T. M., Introduction to Analytic Number Theory, New York, Splinger-Verlag, 1976.
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  3. [3] Araci S., Duran U., Acikgoz M., Symmetric identities involving q-Frobenius-Euler polynomials under Sym (5), Turkish J. Anal. Number Theory, 3(2015), no. 3, 90-93.
  4. [4] Choi J., Anderson P. J., and Srivastava H. M., \Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler Polynomials of Order n and the Multiple Hurwitz Zeta Function," Appl. Math. Comput., 199(2008), 723{737.
  5. [5] Choi J., Anderson P. J., and Srivastava H. M., \Carlitz's q-Bernoulli and q-Euler Numbers and Polynomials and a Class of q-Hurwitz Zeta Functions," Appl. Math. Comput., 215(2009), 1185-1208.
  6. [6] Dolgy D. V., Jang Y. S., Kim T., Kwon H. I., Seo J.-J., Identities of symmetry for q-Euler polynomials derived from fermionic integral on Zp under symmetry group S3, Appl. Math. Sci., 8(2014), no. 113, 5599-5607.
  7. [7] Dolgy D. V., Kim T., Rim S.-H., Lee S.-H, Some Symmetric Identities for h-Extension of q-Euler Polynomials
  8. [8] Duran U., Acikgoz M., Esi A., Araci S., Some new symmetric identities involving q-Genocchi polynomials under S4, J. Math. Anal., 6(2015), no. 4, 22-31.

Details

Primary Language

English

Subjects

Engineering

Journal Section

-

Authors

UGUR Duran
University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, Gaziantep
Türkiye

MEHMET Acıkgoz
University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, Gaziantep
Türkiye

Publication Date

April 1, 2017

Submission Date

February 14, 2017

Acceptance Date

November 21, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Duran, U., & Acıkgoz, M. (2017). NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$. Konuralp Journal of Mathematics, 5(1), 49-55. https://izlik.org/JA25NX65DP
AMA
1.Duran U, Acıkgoz M. NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$. Konuralp J. Math. 2017;5(1):49-55. https://izlik.org/JA25NX65DP
Chicago
Duran, UGUR, and MEHMET Acıkgoz. 2017. “NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$”. Konuralp Journal of Mathematics 5 (1): 49-55. https://izlik.org/JA25NX65DP.
EndNote
Duran U, Acıkgoz M (April 1, 2017) NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$. Konuralp Journal of Mathematics 5 1 49–55.
IEEE
[1]U. Duran and M. Acıkgoz, “NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$”, Konuralp J. Math., vol. 5, no. 1, pp. 49–55, Apr. 2017, [Online]. Available: https://izlik.org/JA25NX65DP
ISNAD
Duran, UGUR - Acıkgoz, MEHMET. “NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 49-55. https://izlik.org/JA25NX65DP.
JAMA
1.Duran U, Acıkgoz M. NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$. Konuralp J. Math. 2017;5:49–55.
MLA
Duran, UGUR, and MEHMET Acıkgoz. “NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 49-55, https://izlik.org/JA25NX65DP.
Vancouver
1.UGUR Duran, MEHMET Acıkgoz. NOVEL IDENTITIES INVOLVING GENERALIZED CARLITZ’S TWISTED $q$-EULER POLYNOMIALS ATTACHED TO $\chi$ UNDER $S_4$. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):49-55. Available from: https://izlik.org/JA25NX65DP
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