Generalizations of Euler numbers and polynomials by Qiu-Ming Luo, Feng Qi, Lokenath Debnath

“…The concepts of Euler numbers and Euler polynomials are generalized and some basic properties are investigated.…”
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Even perfect numbers and their Euler's function by Syed Asadulla

Subjects: “…perfect number; triangular number; Euler's function; number of divisors function.…”
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On the q-Extension of Apostol-Euler Numbers and Polynomials by Lee-Chae Jang, Wonjoo Kim, Young-Hee Kim

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Euler Numbers and Polynomials Associated with Zeta Functions by Taekyun Kim

“…Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta functions have the values of the Euler numbers or the Euler polynomials at negative integers. …”
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Some New Identities on the Bernoulli and Euler Numbers by Dae San Kim, Taekyun Kim, Sang-Hun Lee, D. V. Dolgy, Seog-Hoon Rim

“…We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.…”
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Explicit Formulas Involving -Euler Numbers and Polynomials by Serkan Araci, Mehmet Acikgoz, Jong Jin Seo

“…We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator. …”
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Derivation of Identities Involving Bernoulli and Euler Numbers by Imju Lee, Dae San Kim

“…We derive some new and interesting identities involving Bernoulli and Euler numbers by using some polynomial identities and p-adic integrals on ℤ𝑝.…”
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Hermite Polynomials and their Applications Associated with Bernoulli and Euler Numbers by Dae San Kim, Taekyun Kim, Seog-Hoon Rim, Sang Hun Lee

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Identities Involving q-Bernoulli and q-Euler Numbers by D. S. Kim, T. Kim, J. Choi, Y. H. Kim

“…We give some identities on the q-Bernoulli and q-Euler numbers by using p-adic integral equations on ℤp.…”
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Hankel determinants and Jacobi continued fractions for $q$-Euler numbers by Chern, Shane, Jiu, Lin

“…The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. …”
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On q-Euler Numbers Related to the Modified q-Bernstein Polynomials by Min-Soo Kim, Daeyeoul Kim, Taekyun Kim

“…We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. …”
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Some Identities on the High-Order -Euler Numbers and Polynomials with Weight 0 by Jongsung Choi, Hyun-Mee Kim, Young-Hee Kim

“…We construct the th order nonlinear ordinary differential equation related to the generating function of -Euler numbers with weight 0. From this, we derive some identities on -Euler numbers and polynomials of higher order with weight 0.…”
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Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials by Serkan Araci, Mehmet Acikgoz, Erdoğan Şen

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The Effect of Axial Force on the Free Vibration of an Euler-Bernoulli Beam Carrying a Number of Various Concentrated Elements by Gürkan Şcedilakar

“…All analyses were performed using an Euler beam assumption and the Finite Element Method. …”
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Some Relations between Twisted (h,q)-Euler Numbers with Weight α and q-Bernstein Polynomials with Weight α by N. S. Jung, H. Y. Lee, C. S. Ryoo

“…By using fermionic p-adic q-integral on ℤp, we give some interesting relationship between the twisted (h, q)-Euler numbers with weight α and the q-Bernstein polynomials.…”
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Analytic Continuation of Euler Polynomials and the Euler Zeta Function by C. S. Ryoo

“…We study that the Euler numbers En and Euler polynomials Enz are analytically continued to Es and E(s,w). …”
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Zeros of Analytic Continued q-Euler Polynomials and q-Euler Zeta Function by C. S. Ryoo

“…We study that the q-Euler numbers En,q and q-Euler polynomials En,q(x) are analytic continued to Eq(s) and Eq(s,w). …”
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A sharp double inequality for sums of powers revisited by Vito Lampret

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Dirichlet type extensions of Euler sums by Xu, Ce, Wang, Weiping

“…In this paper, we study the alternating Euler $T$-sums and $\tilde{S}$-sums, which are infinite series involving (alternating) odd harmonic numbers, and have similar forms and close relations to the Dirichlet beta functions. …”
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Reflections on the Importance of the Leonhardi Euleri Opera Omnia, Volume IV A (2016) and Volume VIII (2018) by Stanisław Domoradzki, Mykhailo Zarichnyi

Subjects: “…Euler’s correspondence…”
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