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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
3,700
Downloads
4,815
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
5,626
Downloads
6,714
Views
Citations
Chronic Achilles Tendinopathy in Runners: Relationship between Pain and Tendon Vascularity and Efficacy and Safety of the Radial Extracorporeal Shock Wave Therapy
(Articles)
Antonio
Ammendolia
Case Reports in Clinical Medicine
Vol.4 No.6
, June 15, 2015
DOI:
10.4236/crcm.2015.46044
5,992
Downloads
8,109
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
5,018
Downloads
6,147
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
5,344
Downloads
6,387
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
5,118
Downloads
6,039
Views
Citations
Educational Poverty as a Welfare Loss: Low Performance in the OECD According to PISA 2012
(Articles)
Antonio
Villar
Modern Economy
Vol.7 No.4
, April 28, 2016
DOI:
10.4236/me.2016.74049
2,638
Downloads
4,033
Views
Citations
The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation
(Articles)
Antonio
Granata
Advances in Pure Mathematics
Vol.6 No.12
, November 10, 2016
DOI:
10.4236/apm.2016.612063
1,521
Downloads
2,786
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
1,503
Downloads
2,868
Views
Citations
Instantaneous Wealth Distribution in a Perpetual Youth Model
(Articles)
Antonio
Scialà
Modern Economy
Vol.7 No.14
, December 16, 2016
DOI:
10.4236/me.2016.714146
1,430
Downloads
2,826
Views
Citations
About the Energy Interval beyond the Ankle Where the Cosmic Radiation Consists Only of Ultraheavy Nuclei from Zinc to the Actinides
(Articles)
Antonio
Codino
Journal of Applied Mathematics and Physics
Vol.5 No.1
, January 31, 2017
DOI:
10.4236/jamp.2017.51020
1,498
Downloads
2,812
Views
Citations
The Energy Spectrum of Ultraheavy Nuclei above 10
20
eV
(Articles)
Antonio
Codino
Journal of Applied Mathematics and Physics
Vol.5 No.8
, August 25, 2017
DOI:
10.4236/jamp.2017.58128
989
Downloads
2,099
Views
Citations
Complements to the Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions
(Articles)
Antonio
Granata
Advances in Pure Mathematics
Vol.9 No.5
, May 29, 2019
DOI:
10.4236/apm.2019.95022
1,376
Downloads
2,317
Views
Citations
On the Wondrous Behaviour of Rats and Researchers
(Articles)
Antonio
Villar
Modern Economy
Vol.11 No.1
, January 8, 2020
DOI:
10.4236/me.2020.111002
540
Downloads
1,246
Views
Citations
Non-Rotating Black Holes, Dark Matter and Dark Energy in a Unifying Theory
(Articles)
Antonio
Holdefer
Journal of Applied Mathematics and Physics
Vol.9 No.7
, July 26, 2021
DOI:
10.4236/jamp.2021.97107
288
Downloads
1,534
Views
Citations
Operations with Higher-Order Types of Asymptotic Variation: Filling Some Gaps
(Articles)
Antonio
Granata
Advances in Pure Mathematics
Vol.11 No.8
, August 12, 2021
DOI:
10.4236/apm.2021.118046
273
Downloads
1,260
Views
Citations
Yang-Mills Mass Gap Problem: A Possible Solution
(Articles)
Antonio
Puccini
Journal of Applied Mathematics and Physics
Vol.11 No.6
, June 30, 2023
DOI:
10.4236/jamp.2023.116114
389
Downloads
3,120
Views
Citations
Universe Expansion and Gravitation Unified
(Articles)
Antonio
Medina
International Journal of Astronomy and Astrophysics
Vol.14 No.4
, December 27, 2024
DOI:
10.4236/ijaa.2024.144017
152
Downloads
1,699
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
86
Downloads
449
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
71
Downloads
392
Views
Citations
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