참고문헌
- L. Carlitz, Eulerian numbers and polynomials, Appl. Math. INF. Sci. 32(1959), 164-171.
- V. Gupta, (p, q)-Baskakov-Kontorovich operators, Appl. Math. INF. Sci. 10 (2016), no. 4, 1551-1556. https://doi.org/10.18576/amis/100433
- V. Gupta, A. Aral, Bernstein Durrmeyer operators and based on two parameters, Facta Universitatis (Nis), Ser. Math. Inform. 31(2016), no. 1, 79-95.
- U. Duran, M. Acikgoz, S. Araci, On higher order (p, q)-Frobenius-Euler polynomials, TWMS J. Pure. Appl. Math. 8 (2017),no. 2, 198-208.
- U. Duran, M. Acikgoz, Apostol type (p, q)-Frobenious-Euler polynomials and numbers, Kragujevac J. Math. 42 (2018), no. 4, 555-567. https://doi.org/10.5937/KgJMath1804555D
- U. Duran, M. Acikgoz, Apostol type (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials and numbers, Comput. Appl. Math. 8 (2017) no. 1, 7-30.
- U. Duran, M. Acikgoz, S. Araci, On (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials, J. Comput, Theor. Nanosci. 13 (2016), 7833-7908. https://doi.org/10.1166/jctn.2016.5785
- V. Kurt, Y. Simsek, On the generalized Apostol type Frobenius Euler polynomials, Advances in difference equations, 2013(2013), no. 1, '1-9. https://doi.org/10.1186/1687-1847-2013-1
- B.Kurt, A note on the Apostal type q-Frobenius Euler polynomials and generalizations of the Srivastava-Pinter addition theorems, Filomat, 30 (2016), no. 1, 65-72. https://doi.org/10.2298/FIL1601065K
- W. A. Khan, S. Araci, M. Acikgoz, H. Haroon, A new class of partially degenerate Hermite-Genocchi polynomials, J. Nonlinear Sci. Appl. 10 (2017), 5072-5081. https://doi.org/10.22436/jnsa.010.09.43
- W. A. Khan, Some properties of the Generalized Apostol type Hermite based polynomials, Kyungpook Math. J. 55 (2015), 597-614. https://doi.org/10.5666/KMJ.2015.55.3.597
- W. A. Khan, H. Haroon, Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials, Springer Plus, 5 (2016), 1-21. https://doi.org/10.1186/s40064-015-1659-2
- W. A. Khan, I. A. Khan, J. Y. Kang, On higher order (p, q)-Frobenius-Genocchi numbers and polynomials, Journal of Applied Mathematics and Informatics, 37 (2019), no. 3-4, 297-307.
- M. A. Pathan, W. A. Khan, Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials, Mediterr. J. Math. 12 (2015), 679-695. https://doi.org/10.1007/s00009-014-0423-0
- M. A. Pathan, W. A. Khan, A new class of generalized polynomials associated with Hermite and Euler polynomials, Mediterr. J. Math. 13 (2016), no. 3, 913-928. https://doi.org/10.1007/s00009-015-0551-1
- C. S. Ryoo, A note on the Frobenius Euler polynomials, Proc. Jangjeon Math. Soc. 14 (2011), no. 4, 495-501.
- Y. Simsek, Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications, Fixed point Th. Appl. D.O.I: 1186/1687-1812-2013-87, (2013).
- Y. Simsek, Generating functions for q-Apostal type Frobenius-Euler number and polynomials, Axioms, 1 (2012), 395-403. https://doi.org/10.3390/axioms1030395
- H. M. Srivastava, H. L. Manocha, A treatise on generating functions, Ellis Horwood Limited. Co. New York, 1984.
- P. N. Sadjang, On the fundamental theorem of p, q-calculus and some (p, q)-Taylor formulas, Results Math., (To appear).
- B. Y. Yasar, M. A. Ozarslan, Frobenius-Euler and Frobenius-Genocchi polynomials and their differential equations, The New Trends in Math. Sci. 3 (2015), no. 2, 172-180.
피인용 문헌
- ON THE (p, q)-POLY-KOROBOV POLYNOMIALS AND RELATED POLYNOMIALS vol.39, pp.1, 2020, https://doi.org/10.14317/jami.2021.045