Certain Mathematical Constants Associated with Harmonic Numbers and Higher-Dimensional Harmonic Sums
MathematicsThe Euler–Mascheroni constant γ, defined as the limiting difference between the harmonic numbers Hn and logn, has long been studied and appears in diverse areas of number theory, analysis, and special functions.
Junesang Choi
doaj +1 more source
On Symplectically Harmonic Betti Numbers
Journal of Geometry and PhysicsAbstract Brylinski introduced the symplectic analogue of harmonic forms on symplectic manifolds, thereby defining the symplectically harmonic cohomology space of a symplectic manifold. In this paper, we derive a formula for determining the sym-plectically harmonic Betti numbers of an arbitrary symplectic manifold of finite type, based on the ...
Shanborlang Bynnud, Angom Tiken Singh
openaire +1 more source
Analytical Model of Magnet Eddy-Current Volume Losses in Multi-phase PM Machines with Concentrated Winding [PDF]
, 2012 Thanks to IEEE. The original PDF of the article can be found at: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6342330&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6342330 MHYGALE, project managed by VALEO-EEMthis ...
Bassel Aslan +5 more
core +1 more source
Abel's Lemma and Identities on Harmonic Numbers
Integers, 2014 Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they proposed the Abel-Gosper method to evaluate some indefinite sums involving harmonic numbers.
Hai-Tao Jin, Daniel K. Du
openaire +5 more sources
Intense-field theory of high harmonic generation from freely rotating molecules [PDF]
, 2007 Abdurrouf A. Intense-field theory of high harmonic generation from freely rotating molecules. Bielefeld (Germany): Bielefeld University; 2007.An intense-field theory of high harmonic generation from freely rotating molecules is developed.
Abdurrouf, A.
core +1 more source
Optimal Harmonic Period Assignment With Constrained Number of Distinct Period Values
IEEE Access, 2020 Harmonic periods have been of great importance in the design of real-time applications due to their high schedulability, predictability, and ease of analysis.
Ivan Pavic, Hrvoje Dzapo
doaj +1 more source
Asymptotic inequalities for alternating harmonics [PDF]
Bulletin of Mathematical Sciences, 2019 For n ∈ ℕ the nth alternating harmonic number Hn∗ :=∑ k=1n(−1)k−1 1 k is given in the form Hn∗ =ln 2 + (−1)n+1 4⌊n+1 2 ⌋ +∑i=1q−1 (4i − 1)B 2i (2i)(2⌊n+1 2 ⌋)2i + rq(n), where q ∈ ℕ is a parameter controlling the magnitude of the error term rq ...
Vito Lampret
doaj +1 more source
Many body effects in one-dimensional attractive Bose gases [PDF]
, 2013 In this thesis we investigate the properties of ultra-cold quantum gases in reduced dimension and the effects of harmonic confinement on soliton-like properties.
HOLDAWAY, DAVID,IAN,HENRY
core
Analysis of binning of normals for spherical harmonic cross-correlation [PDF]
, 2012 Spherical harmonic cross-correlation is a robust registration technique that uses the normals of two overlapping point clouds to bring them into coarse rotational alignment.
Michael J. Cree +5 more
core +1 more source
Some extensions of Chu's formulas and further combinatorial identities [PDF]
Mathematica BohemicaWe present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
doaj +1 more source