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The Euler–Frobenius Polynomials
2014The Euler–Frobenius polynomials have been throughout the book to characterize asymptotic sampling zeros in discrete models as the sampling period goes to zero. This chapter presents a brief historical account of these polynomials, and a summary of (equivalent) definitions and properties found in the literature.
Juan I. Yuz, Graham C. Goodwin
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ON THE GENERALIZED EULER POLYNOMIALS OF THE SECOND KIND
Journal of applied mathematics & informatics, 2013The authors define generalized Euler numbers and polynomials of the second kind as follows: \[ \left(\frac{2e^t}{e^{2t}+1}\right)^x=\sum_{n=0}^\infty \tilde{\mathcal E_n}(x)\frac{t^n}{n!}\qquad (| t|
Kim, Y. H., Jung, H. Y., Ryoo, C. S.
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Euler's Theorem for Polynomials
Mathematics Magazine, 1992(1992). Euler's Theorem for Polynomials. Mathematics Magazine: Vol. 65, No. 5, pp. 334-335.
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ON THE TWISTED MODIFIED DEGENERATE EULER POLYNOMIALS
Far East Journal of Mathematical Sciences (FJMS), 2016Summary: The main objective of this paper is to consider twisted modified degenerate Euler polynomials arising from \(p\)-adic fermionic integral on \(\mathbb Z_p\). We obtain some properties and establish certain identities for twisted modified degenerate Euler polynomials.
Kwon, Jongkyum +2 more
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Identities for the Bernoulli and Euler numbers and polynomials.
Ars Comb., 2012Summary: In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb Z_p\).
Taekyun Kim 0001 +3 more
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Remarks on some relationships between the Bernoulli and Euler polynomials
Applied Mathematics Letters, 2004Hari Mohan Srivastava, Akos Pinter
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APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER AND GAUSSIAN HYPERGEOMETRIC FUNCTIONS
Taiwanese Journal of Mathematics, 2006Qiu-Ming Luo
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