Formal Differentiation of Asymptotic Expansions - Articles

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 3,633 Downloads 4,497 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 5,569 Downloads 6,499 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 4,935 Downloads 5,853 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 5,244 Downloads 6,084 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 34 Downloads 188 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 5,106 Downloads 8,896 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 5,034 Downloads 5,769 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 62 Downloads 297 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 49 Downloads 256 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 1,097 Downloads 1,853 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 1,440 Downloads 2,628 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 3,741 Downloads 5,244 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 2,978 Downloads 4,955 Views Citations
This article belongs to the Special Issue on Mathematical Statistics
Formal Methods for Commercial Applications Issues vs. Solutions (Articles)

Saiqa Bibi, Saira Mazhar, Nasir Mehmood Minhas, Irfan Ahmed

Journal of Software Engineering and Applications Vol.7 No.8，July 22, 2014

DOI: 10.4236/jsea.2014.78062 8,398 Downloads 11,158 Views Citations
An Integration of UML Sequence Diagram with Formal Specification Methods—A Formal Solution Based on Z (Articles)

Nasir Mehmood Minhas, Asad Masood Qazi, Sidra Shahzadi, Shumaila Ghafoor

Journal of Software Engineering and Applications Vol.8 No.8，August 19, 2015

DOI: 10.4236/jsea.2015.88037 6,435 Downloads 8,993 Views Citations
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 425 Downloads 1,296 Views Citations
Resource Differentiation of Knowledge (Articles)

Evgeny Popov, Maxim Vlasov

iBusiness Vol.3 No.2，June 28, 2011

DOI: 10.4236/ib.2011.32028 5,688 Downloads 9,303 Views Citations
Development of a drtqPCR Assay for Differentiation of PCV-2a and 2b in Shanghai Area (Articles)

Jian Liu, Feifei Ge, Houbing Ju, Dequan Yang, Xin Li, Jian Wang, Peihong Liu, Jinping Zhou

Open Journal of Veterinary Medicine Vol.4 No.12，December 12, 2014

DOI: 10.4236/ojvm.2014.412035 3,798 Downloads 4,528 Views Citations
Indeterminate Forms (Articles)

Dagnachew Jenber

Advances in Pure Mathematics Vol.6 No.8，July 25, 2016

DOI: 10.4236/apm.2016.68043 2,274 Downloads 4,326 Views Citations
Implication of Land Regularization in Accessing Credits from Financial Institutions in Tanzania (Articles)

Jane J. Mbilinyi, Abiud L. Kaswamila, Emiliana A. Assenga

Current Urban Studies Vol.10 No.4，November 9, 2022

DOI: 10.4236/cus.2022.104032 277 Downloads 1,502 Views Citations

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