Results 41 to 50 of about 1,076 (103)
On the perturbative expansion of exact bi-local correlators in JT gravity
Journal of High Energy Physics, 2021 We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight λ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce
Luca Griguolo +2 more
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Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations
The Journal of the Indian Mathematical Society, 2020 In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions.
Chaturvedi, Aparna, Rai, Prakriti
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Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials [PDF]
, 2013 In this paper, we consider higher-order Frobenius-Euler polynomi- als associated with poly-Bernoulli polynomials which are derived from polylogarithmic function.
Kim, Dae San, kim, Taekyun
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Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fourier Series of the Periodic Bernoulli and Euler Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the Fourier series.
Cheon Seoung Ryoo +4 more
wiley +1 more source
q‐Extensions for the Apostol Type Polynomials
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 The aim of this work is to introduce an extension for q‐standard notations. The q‐Apostol type polynomials and study some of their properties. Besides, some relations between the mentioned polynomials and some other known polynomials are obtained.
Nazim I. Mahmudov +2 more
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Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 Contour integral representations of Riemann′s Zeta function and Dirichlet′s Eta (alternating Zeta) function are presented and investigated. These representations flow naturally from methods developed in the 1800s, but somehow they do not appear in the standard reference summaries, textbooks, or literature.
Michael S. Milgram, Alfredo Peris
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Mathematics, 2019 In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
, 2013 The \emph{Barnes $\zeta$-function} is \[ \zeta_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for $\Re(x) > 0$ and $\Re(z) > n$ and continued meromorphically to $\C$.
Bayad, Abdelmejid, Beck, Matthias
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General‐Appell Polynomials within the Context of Monomiality Principle
International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013 A general class of the 2‐variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2‐variable general‐Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established.
Subuhi Khan +2 more
wiley +1 more source