Results 11 to 20 of about 219,144 (225)
Some Identities on Bernstein Polynomials Associated with 𝑞-Euler Polynomials [PDF]
Abstract and Applied Analysis, 2011 We investigate some interesting properties of the 𝑞-Euler polynomials. The purpose of this paper is to give some relationships between Bernstein and 𝑞-Euler polynomials, which are derived by the 𝑝-adic integral representation of the Bernstein polynomials
A. Bayad, T. Kim, B. Lee, S.-H. Rim
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m [PDF]
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials [PDF]
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
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New Approach to q-Euler Numbers and Polynomials [PDF]
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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Analytic Continuation of Euler Polynomials and the Euler Zeta Function [PDF]
Discrete Dynamics in Nature and Society, 2014 We study that the Euler numbersEnand Euler polynomialsEnzare analytically continued toEsandE(s,w). We investigate the new concept of dynamics of the zeros of analytica continued polynomials. Finally, we observe an interesting phenomenon of “scattering” of the zeros ofE(s,w).
C. S. Ryoo
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Quadratic symmetry of modified q-Euler polynomials
Advances in Difference Equations, 2018 We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yields modified q-Euler polynomials with the isotropy group D4 $D_{4}$ and some ...
SangKi Choi +3 more
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A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
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Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
H. Y. Lee +3 more
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Applied Mathematics in Science and EngineeringIn this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan +3 more
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Some Identities Involving the Fubini Polynomials and Euler Polynomials
Mathematics, 2018 In this paper, we first introduce a new second-order non-linear recursive polynomials U h , i ( x ) , and then use these recursive polynomials, the properties of the power series and the combinatorial methods to prove some identities involving the Fubini polynomials, Euler polynomials and Euler numbers.
Chen, Guohui, Chen, Li
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