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The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.5 No.1
, January 12, 2015
DOI:
10.4236/apm.2015.51001
3,708
Downloads
4,868
Views
Citations
This article belongs to the Special Issue on
Asymptotic Methods
The Role of Asymptotic Mean in the Geometric Theory of Asymptotic Expansions in the Real Domain
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.5 No.2
, February 26, 2015
DOI:
10.4236/apm.2015.52013
5,636
Downloads
6,763
Views
Citations
Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-A: The Factorizational Theory for Chebyshev Asymptotic Scales
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.5 No.8
, June 30, 2015
DOI:
10.4236/apm.2015.58045
5,023
Downloads
6,181
Views
Citations
Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-B: Solutions of Differential Inequalities and Asymptotic Admissibility of Standard Derivatives
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.5 No.8
, June 30, 2015
DOI:
10.4236/apm.2015.58046
5,354
Downloads
6,438
Views
Citations
A New Extension of the Riemann-Lebesgue Lemma
(Articles)
Na Li
,
Yongguo Shi
,
Kelin Li
Journal of Applied Mathematics and Physics
Vol.13 No.5
, May 28, 2025
DOI:
10.4236/jamp.2025.135106
71
Downloads
434
Views
Citations
Two Initial Value Problems Approach for Solving Singular Perturbations Problems
(Articles)
Awoke Andargie
,
Yanala Narsimha Reddy
American Journal of Computational Mathematics
Vol.2 No.3
, September 28, 2012
DOI:
10.4236/ajcm.2012.23027
5,226
Downloads
9,200
Views
Citations
Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-C: Constructive Algorithms for Canonical Factorizations and a Special Class of Asymptotic Scales
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.5 No.8
, June 30, 2015
DOI:
10.4236/apm.2015.58047
5,132
Downloads
6,085
Views
Citations
Asymptotic Behaviors of Hankelians, Whose Entries Involve Regularly- or Rapidly-Varying Functions, as the Variable Tends to +∞. Part I
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.14 No.11
, November 27, 2024
DOI:
10.4236/apm.2024.1411046
88
Downloads
466
Views
Citations
Asymptotic Behaviors of Hankel Determinants Whose Entries Involve Regularly- or Rapidly-Varying Functions. Part II
*
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.15 No.2
, February 28, 2025
DOI:
10.4236/apm.2025.152006
72
Downloads
416
Views
Citations
Euler-Maclaurin Expansions of Errors for Multidimensional Weakly Singular Integrals and Their Splitting Extrapolation Algorithm*
(Articles)
Yubin Pan
,
Jin Huang
,
Hongyan Liu
Journal of Applied Mathematics and Physics
Vol.5 No.2
, February 15, 2017
DOI:
10.4236/jamp.2017.52022
1,174
Downloads
2,065
Views
Citations
The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation
(Articles)
Antonio Granata
Advances in Pure Mathematics
Vol.6 No.12
, November 11, 2016
DOI:
10.4236/apm.2016.612064
1,506
Downloads
2,903
Views
Citations
Determination of the Electromagnetic Field Created by Line Current and Sheet Current Source at the Earth’s Surface
(Articles)
Ghada M. Sami
,
Maryam I. Al-Nami
International Journal of Geosciences
Vol.5 No.13
, December 25, 2014
DOI:
10.4236/ijg.2014.513129
3,833
Downloads
5,640
Views
Citations
Nonlinear Principal and Canonical Directions from Continuous Extensions of Multidimensional Scaling
(Articles)
Carles M. Cuadras
Open Journal of Statistics
Vol.4 No.2
, February 27, 2014
DOI:
10.4236/ojs.2014.42015
3,056
Downloads
5,224
Views
Citations
This article belongs to the Special Issue on
Mathematical Statistics
Resolution of Grandi’s Paradox as Extended to Complex Valued Functions
(Editorial)
Serdar Beji
Advances in Pure Mathematics
Vol.10 No.8
, August 11, 2020
DOI:
10.4236/apm.2020.108027
489
Downloads
1,562
Views
Citations
On the Decomposition of a Bounded Closed Interval of the Real Line into Closed Sets
(Articles)
Edgar A. Cohen
Advances in Pure Mathematics
Vol.3 No.4
, July 2, 2013
DOI:
10.4236/apm.2013.34058
4,875
Downloads
7,442
Views
Citations
High Moments Jarque-Bera Tests for Arbitrary Distribution Functions
(Articles)
Gane Samb Lo
,
Oumar Thiam
,
Mohamed Cheikh Haidara
Applied Mathematics
Vol.6 No.4
, April 28, 2015
DOI:
10.4236/am.2015.64066
4,125
Downloads
5,547
Views
Citations
A New Randomized Pólya Urn Model
(Articles)
Djilali Ait Aoudia
,
Francois Perron
Applied Mathematics
Vol.3 No.12A
, December 31, 2012
DOI:
10.4236/am.2012.312A292
7,722
Downloads
12,133
Views
Citations
This article belongs to the Special Issue on
Probability and Its Applications
Asymptotic Theory for a General Second-Order Differential Equation
(Articles)
A. S. A. Al-Hammadi
Advances in Pure Mathematics
Vol.7 No.8
, August 8, 2017
DOI:
10.4236/apm.2017.78026
1,108
Downloads
2,404
Views
Citations
Oscillatory and Asymptotic Behaviour of Solutions of Two Nonlinear Dimensional Difference Systems
(Articles)
G. Saraswathi
,
P. Sumathi
Journal of Applied Mathematics and Physics
Vol.7 No.4
, April 30, 2019
DOI:
10.4236/jamp.2019.74067
786
Downloads
1,516
Views
Citations
Asymptotic Expansion of Temperature Close to a Singularity of a Plate
(Articles)
Isabelle Titeux
World Journal of Mechanics
Vol.1 No.3
, July 6, 2011
DOI:
10.4236/wjm.2011.13015
4,975
Downloads
9,347
Views
Citations
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