논문KCI 등재
INTERPOLATION FUNCTIONS OF THE EULERIAN TYPE POLYNOMIALS AND NUMBERS
2
조회
0
다운로드
4
인용
0
참고문헌
키워드
주제분류수학
초록
The purpose of this paper is to give the family of interpolation functions of the Eulerian type polynomials and numbers. We derive some identities related to not only these functions, but also these polynomials and numbers.
Abstract
The purpose of this paper is to give the family of interpolation functions of the Eulerian type polynomials and numbers. We derive some identities related to not only these functions, but also these polynomials and numbers.
참고문헌 (34)
- T. M. Apostol, "On the Lerch zeta function", Pacific J. Math, 1, pp.161~167 (1951)
- L. Carlitz, "Eulerian Numbers and Polynomials", Math. Mag, 32, pp.247~260 (1959)
- J. Choi, "A generalization of the Hurwitz-Lerch Zeta function", Integral Transforms Spec. Funct, 19, pp.65~79 (2008)
- R. Dere, "Remarks on the Frobenius-Euler polynomials on the umbral algebra", Numerical Analysis and Applied Math. AIP Conf. Proc, 1479, pp.348~351 (2012)
- K.-W. Hwang, "Interpolation functions of q-extensions of Apostol’s type Euler polynomials", Journal of Inequalities and Applications, 2009, pp.12~ (2009)
- M.-S. Kim, "On multiple twisted p-adic q-Euler ζ-functions and l-functions", Abstr. Appl. Anal, pp.14~ (2008)
- Y.-H. Kim, "On the q-Extension of Apostol-Euler Numbers and Polynomials", Abstr. Appl. Anal, 2008, pp.10~ (2008)
- T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integral and basic q-zeta function", Trend Math. Information Center mathematical Sciences, 9, pp.7~12 (2006)
- T. Kim, "Euler numbers and polynomials associated with zeta functions", Abstr. Appl. Anal, pp.11~ (2008)
- 김태균, "New approach to q-Euler, Genocchi numbers and their interpolation functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.105~112 (2009), 장전수학회
- 김태균, "On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions", 대한수학회지, 45(2), pp.435~453 (2008), 대한수학회
- T. Kim, "New q-Euler numbers and polynomials associated with p-adic q-integrals", Advanced Studies in Contemporary Mathematics, 15(2), pp.243~252 (2007), 장전수학회
- T. Kim, "Note on q-extensions of Euler numbers and polynomials of higher order", J. Inequal. Appl, pp.9~ (2008)
- B. Kurt, "Frobenius-Euler type polynomials related to Hermite- Bernoulli polynomials", Numerical Analysis and Applied Math. AIP Conf. Proc, 1389, pp.385~388 (2011)
- B. Kurt, "Notes on generalization of the Bernoulli type polynomials", Appl. Math. Comput, 218, pp.906~911 (2011)
- Q. M. Luo, "Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials", Comput. Math. Appl, 51, pp.631~642 (2006)
- Q. M. Luo, "Generalizations of Euler numbers and polynomials", Int. J. Math. Sci, 61, pp.3893~3901 (2003)
- H. Ozden, "A new extension of q-Euler numbers and polynomials related to their interpolation functions", Appl. Math. Lett, 21, pp.934~939 (2008)
- H. Ozden, "A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials", Comput. Math. Appl, 60, pp.2779~2787 (2010)
- D. Raducanu, "A new class of analytic functions defined by means of a convolution operator involving the Hurwitz-Lerch Zeta function", Integral Transforms Spec. Funct, 18, pp.933~943 (2007)
- C. S. Ryoo, "On the real roots of the q-Hurwitz zeta-function", Proc. Jangjeon Math. Soc, 11, pp.205~214 (2008)
- K. Shiratani, "On Euler numbers", Mem. Fac. Kyushu Univ. Series A, Mathematics, 27, pp.1~5 (1973)
- Y. Simsek, "q-analogue of the twisted l-Series and q-twisted Euler numbers", J. Number Theory, 100, pp.267~278 (2005)
- Y. Simsek, "Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function", J. Math. Anal. Appl, 324, pp.790~804 (2006)
- , 2013
- Y. Simsek, "Relations between Eulerina polynomials and Array Polynomials, Numerical Analysis and Applied Math", AIP Conf. Proc, 1479, pp.407~411 (2012)
- Y. Simsek, "Generating functions for q-Apostol type Frobenius-Euler numbers and polynomials", Axioms, 1, pp.395~403 (2012)[DOI]
- H. M. Srivastava, "Some generalizations and basic (or q-) extensions of the Bernoulli, Euler and Genocchi polynomials", Appl. Math. Inform. Sci, 5, pp.390~444 (2011)
- H. M. Srivastava, "ZETA AND q-ZETA FUNCTIONS AND ASSOCIATED SERIES AND INTEGRALS" (2012), Elsevier
- H. M. Srivastava, "q-Bernoulli numbers and polynomials asso- ciated with multiple q-zeta functions and basic L-series", Russian J. Math. Phys, 12, pp.241~268 (2005)
- H. M. Srivastava, "Some new families of the generalized Euler and Genocchi polynomials", Taiwanese J. Math, 15, pp.283~305 (2011)
- H. Tsumura, "On a p-adic interpolation of generalized Euler numbers and its applications", Tokyo J. Math, 10, pp.281~293 (1987)
- L. C. Washington, "Introduction to cyclotomic fields" (1982), Springer-Verlag
- E. T. Whittaker, "A Course of Modern Analysis: An Introduction to the General Theory Infinite Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions" (1962), Cambridge University Press
관련 논문AI추천
A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials김대산, 김영희, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제3호GENERALIZATION OF q-APOSTOL-TYPE EULERIAN NUMBERS AND POLYNOMIALS, AND THEIR INTERPOLATION FUNCTIONSA. S. Cevik, I. N. Cangul, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호A note on degenerate Eulerian numbers and polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호Some identities on degenerate Eulerian polynomials and numbers서종진, Dae San Kim, Taekyun Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제1호SOME IDENTITIES INVOLVING FROBENIUS-EULER POLYNOMIALS AND NUMBERS김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제1호A NEW APPROACH OF q-EULER NUMBERS AND POLYNOMIALS김영희, 김태균, 이병제, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호
이 간행물의 다른 논문 (14건)
A NEW CLASS OF DURRMEYER OPERATORSVijay Guptapp. 219-223ON INDEX MATRICES Part 3: On the hierarchical operation over index matrixKrassimir T. Atanassovpp. 225-231SUBCLASSES OF STARLIKE AND CONVEX FUNCTIONS OF ORDER AND TYPE WITH NEGATIVE COEFFICIENTSN. Magesh, V. PRAMEELApp. 233-243p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculusD.S. Kim, T. Kim, H.Y. Leepp. 243-252SOLVING PAINLEVE EQUATION OF TYPE 1 USING HOMOTOPY PADE METHODS. IRANDOUST-PAKCHIN, H. Kheiri, G. Hojjatipp. 253-260
