과제정보
연구 과제 주관 기관 : National Research Foundation of Korea(NRF)
참고문헌
- L. Carlitz, Eulerian numbers and polynomials, Mat. Mag. 32 (1959), 164-171.
- U. Duran, M. Acikgoz, S. Araci, On higher order (p; q)-Frobenius-Euler polynomials, TWMS J. Pure. Appl. Math. 8 (2017), 198-208.
- U. Duran, M. Acikgoz, Apostal type (p; q)-Frobenious-Euler polynomials and numbers, Kragujevac J. Math. 42 (2018), 555-567. https://doi.org/10.5937/KgJMath1804555D
- U. Duran, M. Acikgoz, Apostal type (p; q)-Bernoulli, (p; q)-Euler and (p; q)-Genocchi polynomials and numbers, Comput. Appl. Math. 8 (2017), 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. Gupta, (p; q)-Baskakov-Kontorovich operators, Appl. Math. INF. Sci. 10 (2016), 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), 79-95.
- V. Kurt, Y. Simsek, On the generalized Apostal type Frobenius Euler polynomials, Advances in Difference Equations 2013 (2013), 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), 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 Apostal 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
- 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), 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), 495-501.
- Y. Simsek, Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications, Fixed point Th. Appl. (2013) https://doi.org/10.1186/1687-1812-2013-87.
- 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 and 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 and M.A. Ozarslan, Frobenius-Euler and Frobenius-Genocchi polynomials and their differential equations, The New Trends in Math. Sci. 3 (2015), 172-180.