Results 41 to 50 of about 117,411,128 (106)
The Euler–Maclaurin formula generated by a summation operator
, 1983 SynopsisA closed summation operator, whose spectrum lies within a certain region, generates a derivation and antiderivation, and an Euler–Maclaurin sum formula among these three operators.
John Boris Miller
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An approach to Euler-Mascheroni constant by Bernoulli numbers
, 2020 oai:openaccess.belek.edu.tr:20.500.14591/108International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 23-28, 2019 -- Rhodes, GREECEIn this paper, we give two different versions of the Euler-Maclaurin summation formula.
Aykut Ahmet Aygunes +1 more
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function, extending the classical identities known for the Euler Gamma function.
Gregory Abe-I-Kpeng +3 more
wiley +1 more source
Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Proceedings of the London Mathematical Society, Volume 129, Issue 6, December 2024.Abstract For a random partition, one of the most basic questions is: what can one expect about the parts that arise? For example, what is the distribution of the parts of random partitions modulo N$N$? As most partitions contain a 1, and indeed many 1s arise as parts of a random partition, it is natural to expect a skew toward 1(modN)$1\ (\mathrm{mod} \
Kathrin Bringmann +3 more
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Summing Sneddon–Bessel series explicitly
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán +2 more
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A non-Hermitian optical atomic mirror. [PDF]
Nat Commun, 2022 Wang YC, You JS, Jen HH.
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Euler-Maclaurin Method for Approximating Solutions of Initial Value Problems [PDF]
This work is dedicated to advancing the approximation of initial value problems through the introduction of an innovative and superior method inspired by the Euler-Maclaurin formula.
Alomari, Mohammad W. +5 more
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Negativity of the Casimir Self-Entropy in Spherical Geometries. [PDF]
Entropy (Basel), 2021 Li Y, Milton KA, Parashar P, Hong L.
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