ARTICLE

doi:10.20944/preprints202011.0343.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
complete monotonicity; necessary and sufficient condition; difference; derivative; trigamma function; convolution theorem for the Laplace transforms; Bernstein's theorem for completely monotonic functions
Online: 12 November 2020 (11:58:39 CET)
ARTICLE

doi:10.20944/preprints202011.0315.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
necessary and sufficient condition; complete monotonicity; monotonicity; inequality; polygamma function; lower bound; sectional curvature; manifold; beta distribution; convolution theorem for the Laplace transforms and analytic techniques
Online: 10 November 2020 (13:26:15 CET)
SHORT NOTE

doi:10.20944/preprints202003.0261.v1
Subject:
Computer Science And Mathematics,
Geometry And Topology
Keywords:
bound; double inequality; norm; sine function; cosine function; circle; complex plane
Online: 16 March 2020 (09:51:10 CET)
ARTICLE

doi:10.20944/preprints201809.0365.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
bound; sine; cosine; horizontal straight line; vertical straight line; complex plane; slope
Online: 19 September 2018 (06:24:07 CEST)
ARTICLE

doi:10.20944/preprints201709.0112.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
multivariate logarithmic polynomial; generating function; completely monotonic function; Bernstein function; integral representation; LévyKhintchine representation; real part; imaginary part; uniform convergence; recurrence relation; mathematical induction
Online: 23 September 2017 (10:55:57 CEST)
ARTICLE

doi:10.20944/preprints201709.0034.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
multiorder logarithmic number; multiorder logarithmic polynomial; explicit formula; identity; recurrence relation; inversion theorem; Bell polynomial of the second kind; Stirling number; determinantal inequality; product inequality; completely monotonic function; logarithmic convexity; Faa di Bruno formula
Online: 11 September 2017 (04:22:18 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/preprints201708.0079.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bell polynomial; Bell number; Bell polynomial of the second kind; higher order derivative; generating function; Faa di Bruno formula; inversion theorem; Stirling number of the first kind; Stirling number of the second kind; explicit formula; inversion formula; logarithmically absolute monotonicity; logarithmically complete monotonicity; determinantal inequality; product inequality
Online: 25 August 2017 (08:41:30 CEST)
ARTICLE

doi:10.20944/preprints201708.0056.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
expression; analytic property; Fuss–Catalan number; Catalan–Qi function; Catalan number; monotonicity; logarithmic convexity; complete monotonicity; minimality; inequality
Online: 15 August 2017 (08:36:23 CEST)
ARTICLE

doi:10.20944/preprints201705.0039.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
LévyKhintchine representation; integral representation; bivariate mean; bivariate complex geometric mean; reciprocal; Heronian mean; application
Online: 4 May 2017 (08:44:25 CEST)
ARTICLE

doi:10.20944/preprints201704.0040.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Catalan number; integral representation; equivalent relation; application; sum of power series; CatalanQi function; CatalanQi number; beta function
Online: 7 April 2017 (04:27:13 CEST)
ARTICLE

doi:10.20944/preprints201703.0209.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
identity; inverse matrix; explicit formula; generating function; Chebyshev polynomials of the second kind; Catalan number; triangular matrix; classical hypergeometric function; integral representation
Online: 7 August 2017 (15:49:11 CEST)
ARTICLE

doi:10.20944/preprints201703.0200.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
explicit formula; recursive formula; generalized Motzkin number; Motzkin number; restricted hexagonal number; Catalan number; generating function
Online: 27 March 2017 (11:02:41 CEST)
ARTICLE

doi:10.20944/preprints201708.0004.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
identity; generating function; Eulerian polynomial; higher order Eulerian polynomial; Stirling number; open problem
Online: 2 August 2017 (17:03:00 CEST)
ARTICLE

doi:10.20944/preprints201708.0044.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
identity; Bell polynomial; unnamed polynomial; explicit formula; inversion theorem; Stirling number; binomial coeﬃcient
Online: 11 August 2017 (13:51:05 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/preprints201708.0017.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simplification; coefficient; ordinary differential equation; higher order Frobenius–Euler number; Fa`a di Bruno formula; Bell polynomial of the second kind; inversion formula
Online: 4 August 2017 (15:47:44 CEST)
ARTICLE

doi:10.20944/preprints201711.0120.v1
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
simplification; coefficient; nonlinear ordinary differential equation; generating function; Catalan number; inverse matrix; lower triangular integer matrix; Faά di Bruno formula; Bell polynomial of the second kind; inversion theorem
Online: 20 November 2017 (07:20:26 CET)
ARTICLE

doi:10.20944/preprints201704.0026.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
simple form; explicit form; differential equation; Lerch transcendent; logarithmic function
Online: 4 April 2017 (16:53:18 CEST)
ARTICLE

doi:10.20944/preprints201703.0208.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
closed expression; Fibonacci number; Fibonacci polynomial; tridiagonal determinant; Hessenberg determinant
Online: 28 March 2017 (03:11:06 CEST)
ARTICLE

doi:10.20944/preprints201703.0192.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
nonlinear ordinary differential equation; Stirling number of the first kind; simplifying; technique; combinatorial analysis
Online: 24 March 2017 (18:30:21 CET)
ARTICLE

doi:10.20944/preprints201708.0090.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bell number; Bell polynomial; generalization; explicit formula; inversion formula; inversion theorem; Stirling number; Bell polynomial of the second kind; determinantal inequality; product inequality; completely monotonic function; logarithmic convexity
Online: 26 August 2017 (09:12:05 CEST)
ARTICLE

doi:10.20944/preprints201703.0119.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Lévy–Khintchine representation; integral representation; Bernstein function; Stieltjes function; Toader–Qi mean; weighted geometric mean; Bessel function of the first kind; probabilistic interpretation; probabilistic interpretation; application in engineering; inequality
Online: 16 March 2017 (11:31:31 CET)
ARTICLE

doi:10.20944/preprints201610.0089.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
improper integral; explicit expression; unified expression; beta function; Wallis ratio; integral representation; Catalan number
Online: 21 October 2016 (08:29:08 CEST)
ARTICLE

doi:10.20944/preprints201703.0029.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
series identity; Catalan number; Catalan function; Riemanian zeta function; alternative Hurwitz zeta function; digamma function
Online: 6 March 2017 (07:01:20 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)
SHORT NOTE

doi:10.20944/preprints201610.0034.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
determinantal expression; recurrence relation; Euler polynomial; Euler number; Hessenberg determinant
Online: 11 October 2016 (10:40:02 CEST)
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/preprints201611.0146.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
explicit form; inhomogeneous linear ordinary differential equation; derivative; Lerch transcendent; absolute monotonicity; complete monotonicity; Bernstein function; inequality; diagonal recurrence relation; Stirling numbers of the first kind; logarithmic function
Online: 29 November 2016 (08:00:53 CET)
ARTICLE

doi:10.20944/preprints201611.0145.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Hermite polynomial; square; generating function; higher order derivative; differential equation; derivative polynomial; explicit formula; recurrence relation
Online: 29 November 2016 (06:50:11 CET)
ARTICLE

doi:10.20944/preprints201610.0020.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
integral transform; generalized kMittagLeer function; generalized Wright function; generalized kWright function; gamma function
Online: 8 October 2016 (10:41:37 CEST)
CASE REPORT
Subject:
Medicine And Pharmacology,
Immunology And Allergy
Keywords:
Coronavirus; SARSCoV2; COVID19; Thalidomide; pneumonia
Online: 26 February 2020 (12:31:47 CET)
ARTICLE

doi:10.20944/preprints201610.0035.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
derangement number; closed form; Hessenberg determinant; tridiagonal determinant; generating function; recurrence relation; derivative
Online: 11 October 2016 (10:53:07 CEST)