ARTICLE

doi:10.20944/preprints202008.0057.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bernoulli polynomials; Degenerate multipolyexponential functions; Degenerate multipolyBernoulli polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 3 August 2020 (00:28:39 CEST)
ARTICLE

doi:10.20944/preprints201807.0566.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qBernoulli numbers; qBernoulli polynomials; Bernstein polynomials; qBernstein polynomials; padic integral on Zp
Online: 30 July 2018 (08:17:45 CEST)
ARTICLE

doi:10.20944/preprints202407.1648.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of powers; arithmetic progression; bernoulli numbers
Online: 22 July 2024 (04:58:09 CEST)
ARTICLE

doi:10.20944/preprints201708.0099.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
inequality; ratio; Bernoulli number; Riemann zeta function; Dirichlet eta function; accuracy
Online: 28 August 2017 (09:30:34 CEST)
ARTICLE

doi:10.20944/preprints201712.0104.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)calculus; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; FrobeniusEuler polynomials; generating function; Cauchy product
Online: 15 December 2017 (09:14:10 CET)
ARTICLE

doi:10.20944/preprints201712.0115.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qcalculus; stirling numbers of the second kind; bernoulli polynomials and numbers; generating function; cauchy product
Online: 18 December 2017 (08:22:41 CET)
SHORT NOTE

doi:10.20944/preprints201703.0055.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
closed form; Stirling polynomial; Stirling number; Bernoulli number; Faá di Bruno's formula; Bell polynomial
Online: 10 March 2017 (10:28:19 CET)
ARTICLE

doi:10.20944/preprints201904.0309.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$q$Hermite polynomials; $q$HermiteFubini polynomials; $q$Bernoulli polynomials; $q$Euler polynomials; $q$Genocchi polynomials; Stirling numbers of the second kind
Online: 28 April 2019 (10:15:26 CEST)
ARTICLE

doi:10.20944/preprints201712.0105.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Carlitz’s qBernoulli polynomials; Stirling numbers of the first kind; Stirling numbers of the second kind; padic qintegral
Online: 15 December 2017 (09:31:13 CET)
ARTICLE

doi:10.20944/preprints201904.0308.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$(p,q)$calculus; $(p; q)$Bernoulli polynomials; $(p; q)$Euler polynomials; $(p; q)$Genocchi polynomials; $(p; q)$Fubini numbers and polynomials; $(p; q)$ Stirling numbers of the second kind
Online: 28 April 2019 (09:56:29 CEST)
ARTICLE

doi:10.20944/preprints202405.1602.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Bernoulli polynomials; shifted Chebyshev polynomials; Bernoulli collocation method (BCM); Improved Bernoulli collocation method (IBCM); Volterra integral equation s (VIEs)
Online: 24 May 2024 (08:38:41 CEST)
ARTICLE

doi:10.20944/preprints201708.0026.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simplification; coefficient; ordinary differential equation; higher order Bernoulli number of the second kind; Stirling number of the first kind; Stirling number of the second kind; inversion formula; Bell polynomial of the second kind; Faà di Bruno formula.
Online: 8 August 2017 (07:59:57 CEST)
ARTICLE

doi:10.20944/preprints202301.0225.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Gamma function; Zeta function; Bernoulli numbers
Online: 12 January 2023 (10:38:15 CET)
ARTICLE

doi:10.20944/preprints201712.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qumbral calculus; apostolbernoulli polynomials; modi.ed apostol type qbernoulli polynomials; qappell polynomials; generating functions
Online: 18 December 2017 (10:01:24 CET)
ARTICLE

doi:10.20944/preprints201610.0043.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; FrobeniusEuler polynomial
Online: 12 October 2016 (11:47:48 CEST)
ARTICLE

doi:10.20944/preprints201802.0145.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
HermiteKampé de Fériet polynomials; Hermite Bernoulli polynomials; poly Bernoulli polynomials; Stirling numbers of second kind; Polylogarithm functions.
Online: 22 February 2018 (15:28:12 CET)
ARTICLE

doi:10.20944/preprints202106.0165.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
generalized nonlinear constitutive law; steel frame; Timoshenko; Bernoulli
Online: 7 June 2021 (10:51:17 CEST)
ARTICLE

doi:10.20944/preprints202103.0042.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Modulus of elasticity; frequency spectrum; mic; EulerBernoulli equation
Online: 1 March 2021 (18:31:31 CET)
ARTICLE

doi:10.20944/preprints201807.0025.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
fractional differential equations; conformable derivative; Bernoulli equation; exact solution
Online: 3 July 2018 (06:04:53 CEST)
ARTICLE

doi:10.20944/preprints201702.0061.v1
Subject:
Engineering,
Electrical And Electronic Engineering
Keywords:
multitarget tracking; multiBernoulli filter; sequential MonteCarlo
Online: 16 February 2017 (09:39:29 CET)
ARTICLE

doi:10.20944/preprints202106.0178.v1
Subject:
Physical Sciences,
Chemical Physics
Keywords:
generalized nonlinear constitutive law; composite beam; Timoshenko beam; Bernoulli beam
Online: 7 June 2021 (12:48:26 CEST)
ARTICLE

doi:10.20944/preprints202102.0139.v1
Subject:
Engineering,
Automotive Engineering
Keywords:
Wieghardt foundation; BernoulliEuler beams; nonlocal effects; integral nonlocal model
Online: 4 February 2021 (13:08:54 CET)
ARTICLE

doi:10.20944/preprints202305.0373.v2
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Information; Quantum Physics; Matrix Exponential Function; Bernoulli Random Walk; BRW; Statistics
Online: 25 June 2023 (04:49:47 CEST)
ARTICLE

doi:10.20944/preprints201908.0212.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Special polynomials; gamma distribution; Cauchy product; generating function; Bernoulli polynomials; Euler polynomials.
Online: 20 August 2019 (11:08:39 CEST)
ARTICLE

doi:10.20944/preprints201802.0119.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums
Online: 19 February 2018 (14:18:47 CET)
ARTICLE

doi:10.20944/preprints201902.0058.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum chaos; measurement; randomness; information; decoherence; dissipation; spin; Bernoulli map; kicked rotor; standard map
Online: 7 February 2019 (15:01:46 CET)
ARTICLE

doi:10.20944/preprints202409.2051.v1
Subject:
Computer Science And Mathematics,
Security Systems
Keywords:
Chaotic pseudorandom number generator; Chaos theory; Multiple Bernoulli chaotic maps; Robust chaotic map; Statistical analysis; FPGA implementation
Online: 26 September 2024 (09:59:41 CEST)
ARTICLE

doi:10.20944/preprints201808.0376.v1
Subject:
Physical Sciences,
Fluids And Plasmas Physics
Keywords:
continuity equation, NavierStokes equation, Bernoulli equation, existence and smoothens of the solutions of NavierStokes equation
Online: 21 August 2018 (10:12:40 CEST)
TECHNICAL NOTE

doi:10.20944/preprints202105.0660.v2
Subject:
Engineering,
Civil Engineering
Keywords:
Axially functionally graded nonprismatic EulerBernoulli beam; finite difference method; additional points; vibration analysis; direct time integration method
Online: 24 September 2021 (11:27:04 CEST)
ARTICLE

doi:10.20944/preprints202401.0738.v2
Subject:
Chemistry And Materials Science,
Nanotechnology
Keywords:
Functionally Graded (FG) Materials; BernoulliEuler Nanobeams; StressDriven Nonlocal Model; Free Vibration Analysis; Surface Energy Effects; Higher Vibration Modes
Online: 11 January 2024 (12:23:53 CET)
ARTICLE

doi:10.20944/preprints202011.0463.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number; Lucas number; summation identity; series; generating function; gamma function; digamma function; trigonometric functions; inverse tangent; bernoulli number; zeta function
Online: 18 November 2020 (10:19:50 CET)
ARTICLE

doi:10.20944/preprints201712.0152.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)calculus; apostolbernoulli polynomials; apostoleuler polynomials; apostol genocchi polynomials; stirling numbers of second kind; generating function; cauchy product
Online: 21 December 2017 (05:30:46 CET)
ARTICLE

doi:10.20944/preprints202403.0002.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
Frequency dependent mass or damping or stiffness, fractional inertia or damping or restoration force, equivalent motion equation, multifractional EulerBernoulli beam
Online: 1 March 2024 (10:30:13 CET)
ARTICLE

doi:10.20944/preprints201904.0126.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
power identities; polynomials; convolution; convolution power; integral transforms; power function; binomial theorem; multinomial theorem; Faulhaber's formula; Bernoulli numbers; Worpitzky identity; Stirling numbers; falling factorial
Online: 10 April 2019 (10:27:59 CEST)
ARTICLE

doi:10.20944/preprints202102.0559.v3
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Euler Bernoulli beam; finite difference method; additional points; element stiffness matrix; tapered beam; firstorder analysis; secondorder analysis; vibration analysis; direct time integration method
Online: 23 September 2021 (13:08:38 CEST)
REVIEW

doi:10.20944/preprints202306.0511.v1
Subject:
Physical Sciences,
Atomic And Molecular Physics
Keywords:
symmetry; invariant vectors; HermannBernoulliLaplaceRungeLenz vector; Redmond invariant; dynamical symmetry; supergeneralized RungeLenz vector; KustaanheimoStiefel transformation; chargedyon system; MICKepler problem
Online: 7 June 2023 (08:19:04 CEST)
ARTICLE

doi:10.20944/preprints201903.0179.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
qnumbers, padic numbers, padic gamma function, Mahler expansion, Bernoulli polynomials, Daehee polynomials, Stirling numbers of the first kind, Stirling numbers of the second kind.
Online: 20 August 2019 (11:17:13 CEST)
ARTICLE

doi:10.20944/preprints201711.0157.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
series representation; power function; monomial; binomial theorem; multinomial theorem; worpitzky identity; stirling numbers of second kind; faulhaber's sum; finite difference; faulhaber's formula; central factorial numbers; binomial coefficients; binomial distribution; binomial transform; bernoulli numbers; oeis; multinomial coefficients
Online: 17 August 2018 (11:10:47 CEST)