Some Basic Characterization of the Function γ

Rena Eldar Kizi Kerbalayeva

doi:doi:10.11648/j.ijtam.20210705.11

| Peer-Reviewed

Some Basic Characterization of the Function γ

Rena Eldar Kizi Kerbalayeva

Published in International Journal of Theoretical and Applied Mathematics (Volume 7, Issue 5)

Received: 28 August 2021 Accepted: 23 September 2021 Published: 28 October 2021

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 7, Issue 5)
DOI	10.11648/j.ijtam.20210705.11
Page(s)	72-75
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

A Limit, Functions of a Natural-number Argument, A Sequence, Transformations

References

[1]	Alan S. Tussy., R. David Gustatson., Diane R. Koing.: Basic Mathematics for college students, fourth education, (2011), pp. 594-637.
[2]	Elias Zakon.: Mathematical Analysis, vol. 1, (2011), pp. 149-314.
[3]	Fabio Cirrito., Nigel Buckle., Iain Dunbar.: Mathematics Higher Level, (2007).
[4]	Hutchinson John E.: Introduction To Mathematics Analysis, Department of Mathematics School of Mathematical Scences ANU, 6/7 (1995), pp. 38-41, 77-87.
[5]	Gowers T.: the Princeton Companion to Mathematics (Princeton University Press, 2008).
[6]	Jean Linsky., James Nicholson., Brian Western.: Complete Pure Mathematics 213 for Campridge International AS&Level, (2018).
[7]	Jonathan Wicket., Kemper Lewis.: An introduction to Merchanical Engineering, third education, (2013).
[8]	Qiu-Ming Luo.: Journal of Integer Sequences, vol., 12, (2009), pp. 1-8.
[9]	Ralph Palmer Agnew.: Euler Transformation, American Journal of Mathematics, v. 66, №2, (1944), pp. 313-338.
[10]	Thomas J. Osler.: Partial sums of series that cannot be an integer, The Mathematic Gazette 96, November, (2012), pp. 515-519,
[11]	Thomas Schmelzer., Robert Baillie.: Summing a Curious, Slowly Convergent Series, The American Mathematical Montly, 115, 6, (2008), pp. 540-545.
[12]	Tony Beadsworth.: Complete Additional Mathematics for Campridge IGCSE&0level, (2017), pp. 320-332, 151-224.
[13]	Vladimir A. Zorich.: Mathematical Analysis I. Springer (2002), pp. 79-147.
[14]	Weisstein E. W.: CRC Concise Encyclopedia of Mathematics; English Edution; 2^nd Eduation (CRC Press, Kindle version, 1998).
[15]	William F. Trench.: Introduction to real Analysis, (2013), pp. 30-53, 88-98, 179-281.

Cite This Article

Plain Text BibTeX RIS

APA Style

Rena Eldar Kizi Kerbalayeva. (2021). Some Basic Characterization of the Function γ. International Journal of Theoretical and Applied Mathematics, 7(5), 72-75. https://doi.org/10.11648/j.ijtam.20210705.11

Copy | Download

ACS Style

Rena Eldar Kizi Kerbalayeva. Some Basic Characterization of the Function γ. Int. J. Theor. Appl. Math. 2021, 7(5), 72-75. doi: 10.11648/j.ijtam.20210705.11

Copy | Download

AMA Style

Rena Eldar Kizi Kerbalayeva. Some Basic Characterization of the Function γ. Int J Theor Appl Math. 2021;7(5):72-75. doi: 10.11648/j.ijtam.20210705.11

Copy | Download

@article{10.11648/j.ijtam.20210705.11,
  author = {Rena Eldar Kizi Kerbalayeva},
  title = {Some Basic Characterization of the Function γ},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {7},
  number = {5},
  pages = {72-75},
  doi = {10.11648/j.ijtam.20210705.11},
  url = {https://doi.org/10.11648/j.ijtam.20210705.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20210705.11},
  abstract = {In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Some Basic Characterization of the Function γ
AU  - Rena Eldar Kizi Kerbalayeva
Y1  - 2021/10/28
PY  - 2021
N1  - https://doi.org/10.11648/j.ijtam.20210705.11
DO  - 10.11648/j.ijtam.20210705.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 72
EP  - 75
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20210705.11
AB  - In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.
VL  - 7
IS  - 5
ER  -

Copy | Download

Author Information

Rena Eldar Kizi Kerbalayeva

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Rena Eldar Kizi Kerbalayeva. (2021). Some Basic Characterization of the Function γ. International Journal of Theoretical and Applied Mathematics, 7(5), 72-75. https://doi.org/10.11648/j.ijtam.20210705.11

Copy | Download

ACS Style

Rena Eldar Kizi Kerbalayeva. Some Basic Characterization of the Function γ. Int. J. Theor. Appl. Math. 2021, 7(5), 72-75. doi: 10.11648/j.ijtam.20210705.11

Copy | Download

AMA Style

Rena Eldar Kizi Kerbalayeva. Some Basic Characterization of the Function γ. Int J Theor Appl Math. 2021;7(5):72-75. doi: 10.11648/j.ijtam.20210705.11

Copy | Download

@article{10.11648/j.ijtam.20210705.11,
  author = {Rena Eldar Kizi Kerbalayeva},
  title = {Some Basic Characterization of the Function γ},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {7},
  number = {5},
  pages = {72-75},
  doi = {10.11648/j.ijtam.20210705.11},
  url = {https://doi.org/10.11648/j.ijtam.20210705.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20210705.11},
  abstract = {In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Some Basic Characterization of the Function γ
AU  - Rena Eldar Kizi Kerbalayeva
Y1  - 2021/10/28
PY  - 2021
N1  - https://doi.org/10.11648/j.ijtam.20210705.11
DO  - 10.11648/j.ijtam.20210705.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 72
EP  - 75
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20210705.11
AB  - In this paper I have studied some characterization of the function γ. As in areas of Mathematics, we need a precise of given problem result in order to be absolutely clear. This paper seeks to do that and introduce new applications to aid our study. Some steps of the solutions to given paper in Basic Mathematics for the Analysis course involve arithmetic calculations that are too complicated to be performed mentally. In this paper I have included three Study Skills Checklists introduced to actively give how effectively use following views. The beginning of the paper has been introduced some properties of having sequences as a complete study this problem. In this instance, I have shown the actual computations that must be made to complete the formal prove. Hence than simply list the steps of arithmetic calculations making no mention of how the numerical values within the graphs are behaved, this unique feature will help answer often given question, from a interesting mathematics, “Is the function γ rational?” Since information is often presented in the form of graphs, I need to be able to give some characterizations of a function of a natural-number argument (a sequence) and natural logarithmic (Napierian logarithms) function displayed in this way. It also serves as a method for the Euler transformations that I can perform immediately to solve the problem in this paper. Henceforth according to l’Hopital’s rule one can easy to solve needing limit.
VL  - 7
IS  - 5
ER  -

Copy | Download