Abstract | ||
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In this paper we construct new generalized Euler polynomials and generalized Euler numbers attached to χ. We investigate some of the properties that are related to generalized Euler polynomials. We also derive the existence of a specific interpolation function that interpolates generalized Euler polynomials at negative integers. Finally, we investigate computationally the roots of the generalized Euler polynomials En, χ(x) for values of the index n. |
Year | DOI | Venue |
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2007 | 10.1080/00207160701242326 | Int. J. Comput. Math. |
Keywords | Field | DocType |
index n,related to the generalized euler numbers and polynomials attached to �. key words and phrases. fermionic p-adic q-integral,euler number and polynomials.,negative integer,generalized euler number,euler polynomial,specific interpolation function,new generalized euler polynomial,generalized euler polynomials en,generalized euler polynomial,euler numbers,number theory,euler number | Euler number,Orthogonal polynomials,Classical orthogonal polynomials,Mathematical analysis,Euler's four-square identity,Euler's theorem in geometry,Semi-implicit Euler method,Backward Euler method,Difference polynomials,Mathematics | Journal |
Volume | Issue | ISSN |
84 | 7 | 0020-7160 |
Citations | PageRank | References |
1 | 0.43 | 1 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
C. S. Ryoo | 1 | 15 | 9.64 |
T. Kim | 2 | 16 | 10.50 |
Lee-Chae Jang | 3 | 77 | 17.18 |