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01/2019, ISBN 9783039216215
.... Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials... 
eBook
International Journal of Number Theory, ISSN 1793-0421, 11/2018, Volume 14, Issue 10, pp. 2617 - 2630
For positive integers m , n , k with m ≥ 2 and ⌈ n / 2 ⌉ ≤ k ≤ n , let E { m } ( m , n , k ) be the sum of multiple zeta values of depth k and weight m n with... 
modified Bell polynomial | generating function | stuffle relation | Multiple zeta value | MATHEMATICS | SERIES | stale relation
Journal Article
by Qi, F and Niu, W and Lim, D and Guo, BN
CONTRIBUTIONS TO DISCRETE MATHEMATICS, ISSN 1715-0868, 2020, Volume 15, Issue 1, pp. 163 - 174
The authors establish a pair of closed-form expressions for special values of the Bell polynomials of the second kind for the falling factorials, derive two pairs of identities involving the falling... 
MATHEMATICS | falling factorial | equivalent expression | closed-form expression | identity | Faa di Bruno formula | Bell polynomial of the second kind | STIRLING NUMBERS | special value | modified spherical Bessel function | spherical Bessel function | DERIVATIVES
Journal Article
Communications in Theoretical Physics, ISSN 0253-6102, 07/2012, Volume 58, Issue 1, pp. 73 - 78
.... In this paper,a coupled KdV-modified KdV system is investigated. Based on the Bell polynomials and symbolic computation, the bilinear form of such system is derived, and its analytic N-soliton solutions are constructed through the Hirota method... 
symbolic computation | binary Bell polynomials | coupled KdV-modified KdV system | N-soliton solutions | bilinear form | soliton interaction | BACKLUND-TRANSFORMATIONS | PHYSICS, MULTIDISCIPLINARY | DE-VRIES EQUATION | COMBINATORICS | PERIODIC-WAVE SOLUTIONS
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 01/2018, Volume 32, Issue 2, p. 1750170
Journal Article
Integral transforms and special functions, ISSN 1476-8291, 2018, Volume 30, Issue 4, pp. 282 - 300
Let p,x be real numbers, and s be a complex number, with , , and x+1>0. The zeta function is defined by where is a r-tuple positive integers, and is the... 
generalized harmonic functions | Arakawa-Kaneko zeta functions | multiple zeta values | modified Bell polynomials | MATHEMATICS | MATHEMATICS, APPLIED | VALUES | POLY-BERNOULLI NUMBERS | Integers | Real numbers | Numbers
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 03/2017, Volume 13, Issue 2, pp. 513 - 528
In this paper, we investigate two kinds of Euler sums that involve the generalized harmonic numbers with arbitrary depth. These sums establish numerous... 
generalized harmonic numbers | Multiple zeta values | Stirling numbers of the first kind | modified Bell polynomials | MATHEMATICS | SERIES | DUALITY | FORMULAS | RIEMANN ZETA
Journal Article
by Eie, MK and Liaw, WC and Ong, YL
The Rocky Mountain journal of mathematics, ISSN 0035-7596, 04/2020, Volume 50, Issue 2, pp. 551 - 558
We evaluate the multiple zeta value zeta(1, {2}(n+1)) or its dual zeta({2}(n),( )3). When n is even, along with stuffle relations already available, it is... 
modified Bell polynomial | MATHEMATICS | multiple zeta-star value | multiple zeta value | Bernoulli polynomial
Journal Article
FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 1, pp. 101 - 109
We define the finite Hurwitz-Lerch function H-n((s))(x, y) = Sigma(n-1)(k=0) x(k)/(k+y)(s). Then we explore some properties of them and give some applications,... 
Mellin differential operator | MATHEMATICS, APPLIED | ZETA-FUNCTIONS | SERIES | Hurwitz-Lerch zeta function | Stirling numbers | RIEMANN ZETA | MATHEMATICS | COMBINATORIAL IDENTITIES | modified Bell polynomials | FAMILIES | generalized harmonic function | Finit Hurwitz-Lerch functions | FORMULAS
Journal Article
Symmetry (Basel), ISSN 2073-8994, 06/2020, Volume 12, Issue 6, p. 1011
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2019, Volume 2019, Issue 1, pp. 1 - 8
Journal Article
by Kim, T and Kim, DS and Kwon, J and Kim, HY
JOURNAL OF INEQUALITIES AND APPLICATIONS, ISSN 1029-242X, 04/2020, Volume 2020, Issue 1, pp. 1 - 13
Journal Article
Symmetry, ISSN 2073-8994, 2018, Volume 10, Issue 10, p. 471
Journal Article
Progress in Nuclear Energy, ISSN 0149-1970, 1999, Volume 35, Issue 3, pp. 249 - 273
In this work, the fundamentals of the constructive theory of orthogonal polynomials and their applications are reviewed... 
DISCRETE-ORDINATE METHOD | ELECTRON | THERMALIZATION | NUCLEAR SCIENCE & TECHNOLOGY | NEUTRON-TRANSPORT | COEFFICIENTS | CHANDRASEKHAR POLYNOMIALS | RARE-GAS MODERATORS | MODIFIED MOMENTS | RADIATIVE-TRANSFER
Journal Article
Kybernetes, ISSN 0368-492X, 2010, Volume 39, Issue 4, pp. 578 - 597
Journal Article
Earthquake Science, ISSN 1674-4519, 4/2009, Volume 22, Issue 2, pp. 159 - 164
Reliable earthquake death toll estimate can provide valuable references for disaster relief headquarters and civil administration departments to make arrangement and deployment plan during post-earth... 
death toll | modified exponential curve | Earth Sciences | Geophysics/Geodesy | earthquake | P315.01 | Earthquake | Death toll | Modified exponential curve | Casualties | Earthquakes | Seismology | Mortality | Fatalities | Models | Disaster relief | Fittings | Earthquake engineering | Mathematical models | Estimates | Seismic response
Journal Article
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