Results 41 to 50 of about 852,038 (290)
Euler polynomials for the matrix exponential approximation
Journal of Computational and Applied Mathematics, 2023 Acknowledgements This work has been partially supported by Spanish Ministerio de Ciencia e Innovaci?n (Project PID2020-113656RB-C22) supported by MCIN/AEI/10.13039/501100011033 and by the Vicerrectorado de Investigaci?n de la Universitat Polit?cnica de Val?ncia (PAID-11-21).
Alonso Abalos, José Miguel +3 more
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Hankel determinants of sequences related to Bernoulli and Euler polynomials [PDF]
International Journal of Number Theory, 2020 We evaluate the Hankel determinants of various sequences related to Bernoulli and Euler numbers and special values of the corresponding polynomials. Some of these results arise as special cases of Hankel determinants of certain sums and differences of ...
Karl Dilcher, Jiu Lin
semanticscholar +1 more source
Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang +2 more
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On the type 2 poly-Bernoulli polynomials associated with umbral calculus
Open Mathematics, 2021 Type 2 poly-Bernoulli polynomials were introduced recently with the help of modified polyexponential functions. In this paper, we investigate several properties and identities associated with those polynomials arising from umbral calculus techniques.
Kim Taekyun +3 more
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Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials
Symmetry, 2020 Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials.
W. Khan, M. Açıkgöz, U. Duran
semanticscholar +1 more source
Umbral calculus and Euler polynomials
Ars Comb., 2012 In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related to special polynomials (see[6]).
Dae San Kim +3 more
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Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions [PDF]
, 2018 We introduce Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials as generalizations of Bernoulli and Apostol–Euler polynomials, where the role of the derivative is now played by the Dunkl operator on the real line.
Pérez, Mario +11 more
core +1 more source
Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
Complexity, 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim +3 more
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New Approach to q-Euler Numbers and Polynomials
Advances in Difference Equations, 2010 We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim +3 more
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Generalized -Euler Numbers and Polynomials [PDF]
ISRN Applied Mathematics, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.
Lee, Hui Young +2 more
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