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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
3,600
Downloads
4,375
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
5,542
Downloads
6,382
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
4,911
Downloads
5,730
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
5,209
Downloads
5,969
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
23
Downloads
93
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
5,055
Downloads
8,738
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
4,995
Downloads
5,640
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
54
Downloads
213
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
36
Downloads
160
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
1,049
Downloads
1,712
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
1,412
Downloads
2,494
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
3,683
Downloads
5,053
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
2,943
Downloads
4,846
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
396
Downloads
1,166
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
3,986
Downloads
5,046
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
7,582
Downloads
11,577
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
1,005
Downloads
2,011
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
685
Downloads
1,191
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
4,635
Downloads
6,860
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
4,850
Downloads
8,979
Views
Citations
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