ARTICLE

doi:10.20944/preprints201704.0040.v1
Subject:
Mathematics & Computer Science,
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/preprints201708.0056.v1
Subject:
Mathematics & Computer Science,
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/preprints201703.0029.v1
Subject:
Mathematics & Computer Science,
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/preprints201804.0305.v1
Subject:
Mathematics & Computer Science,
General Mathematics
Keywords:
Catalan beta function; Riemann’s zeta function; primes; Dirichlet Lfunction
Online: 24 April 2018 (05:10:20 CEST)
ARTICLE

doi:10.20944/preprints201610.0089.v1
Subject:
Mathematics & Computer Science,
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/preprints201703.0200.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201703.0209.v2
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201703.0119.v1
Subject:
Mathematics & Computer Science,
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/preprints201711.0120.v1
Subject:
Mathematics & Computer Science,
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)
HYPOTHESIS

doi:10.20944/preprints202104.0760.v1
Subject:
Medicine & Pharmacology,
Allergology
Keywords:
Complementary and alternative medicine; Traditional Chinese medicine (TCM); Thermodynamic mechanism; Entropic systems biology; Selforganized criticality (SOC); Selforganization triggering factor (SOTF); Wuxing (five phases), Qi, Meridians (Jingluo); Acupuncture points; Chinese herbs; Aquamoleculomics; Modernization of TCM
Online: 28 April 2021 (17:12:29 CEST)