ARTICLE

doi:10.20944/preprints201712.0115.v1
Subject:
Mathematics & Computer Science,
Algebra & 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)
ARTICLE

doi:10.20944/preprints201708.0026.v1
Subject:
Mathematics & Computer Science,
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/preprints201808.0045.v1
Subject:
Engineering,
Energy & Fuel Technology
Keywords:
Stirling engine, combustion, themodynamic model
Online: 2 August 2018 (10:13:50 CEST)
SHORT NOTE

doi:10.20944/preprints201703.0055.v1
Subject:
Mathematics & Computer Science,
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/preprints201610.0043.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201611.0146.v1
Subject:
Mathematics & Computer Science,
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/preprints201708.0044.v1
Subject:
Mathematics & Computer Science,
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/preprints201712.0105.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints202104.0017.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
set partitions; Stirling numbers of the second kind; harmonic numbers; prime number distribution; Riemann hypothesis; Gumbel distribution
Online: 1 April 2021 (12:43:50 CEST)
ARTICLE

doi:10.20944/preprints202008.0706.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Euler polynomials; Degenerate multipolyexponential functions; Degenerate multipolyEuler polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 31 August 2020 (05:15:55 CEST)
ARTICLE

doi:10.20944/preprints201708.0079.v2
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201703.0192.v1
Subject:
Mathematics & Computer Science,
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/preprints201903.0179.v2
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201905.0216.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, Boole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:34:31 CEST)
ARTICLE

doi:10.20944/preprints201905.0217.v1
Subject:
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, qBoole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:35:19 CEST)
ARTICLE

doi:10.20944/preprints201708.0004.v1
Subject:
Mathematics & Computer Science,
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/preprints201708.0090.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201908.0214.v1
Subject:
Mathematics & Computer Science,
Probability And Statistics
Keywords:
Poisson distribution; raw moments; Bell polynomials; degenerate exponential function; unsigned Stirling number of the first kind.
Online: 20 August 2019 (11:14:22 CEST)
ARTICLE

doi:10.20944/preprints201712.0152.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints202008.0057.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201802.0145.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201904.0309.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201908.0213.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Central Bell polynomials; central factorial numbers; degenerate central Bell polynomials; Stirling numbers of the first kind; special numbers; special polynomials.
Online: 20 August 2019 (11:13:05 CEST)
ARTICLE

doi:10.20944/preprints201802.0118.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
padic numbers; padic gamma function; padic Euler constant; qDaehee polynomials; Stirling numbers of the first kind
Online: 19 February 2018 (14:12:04 CET)
ARTICLE

doi:10.20944/preprints201905.0215.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
padic numbers, padic gamma function, padic Euler constant, Mahler expansion, qDaehee polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:33:45 CEST)
ARTICLE

doi:10.20944/preprints201908.0216.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
Keywords:
Hermite polynomials, Apostol type FrobeniusEuler polynomials, Hermite based Apostol type Frobenius Euler polynomials, Stirling numbers of the second kind, (p,q)numbers.
Online: 20 August 2019 (11:29:03 CEST)
ARTICLE

doi:10.20944/preprints201904.0126.v1
Subject:
Mathematics & Computer Science,
Algebra & Number Theory
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/preprints201904.0308.v1
Subject:
Mathematics & Computer Science,
Algebra & 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/preprints201711.0157.v6
Subject:
Mathematics & Computer Science,
Algebra & 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)
ARTICLE

doi:10.20944/preprints201709.0034.v1
Subject:
Mathematics & Computer Science,
Algebra & 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)