Recursive Computations and Differential and Integral Equations for Summability of Binomial Coefficients with Combinatorial Expressions

Authors

  • Chinnaraji Annamalai  School of Management, Indian Institute of Technology, Kharagpur, India
  • Hari Mohan Srivastava  Department of Mathematics and Statistics, University of Victoria, Victoria V8W 3R4, Canada
  • Vishnu Narayan Mishra  Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh, India

Keywords:

Combinatorics, Recursive Computations, Summability, Derivatives, Integral Equations

Abstract

This paper presents some findings of recursive computations and its differential and integral calculus for the series and summability of binomial coefficients along with the combinatorial expressions. Nowadays, the growing complexity of mathematical modeling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. In this research article, a model of recursive computations with differential and integral equations is introduced that deals with design and optimization of recursive computations related to the series and summability with real-time functions.

References

  1. Annamalai C 2009 “Computational geometric series model with key applications in informatics”, International Journal of Computational Intelligence Research, Vol. 5(4), pp 485-499.
  2. Annamalai C 2009 “A novel computational technique for the geometric progression of powers of two”, Journal of Scientific and Mathematical Research, Vol. 3, pp 16-17.
  3. Annamalai C 2010 “Applications of Exponential Decay and Geometric Series in Effective Medicine Dosage”, Journal Advances in Bioscience and Biotechnology, Vol. 1, pp 51-54.
  4. Annamalai C 2011 “Computational Model to study the Dose Concentration in Bloodstream of Patients”, International Journal of Medical and Pharmaceutical Sciences, Vol. 1(5), pp 1-7.
  5. Annamalai C 2011 “ACM cryptographic key exchange for secure communications”, International Journal of Cryptology Research, Vol. 3(1), pp 27-33.
  6. Annamalai C 2015 “A Novel Approach to ACM-Geometric Progression”, Journal of Basic and Applied Research International, Vol. 2(1), pp 39-40.
  7. Annamalai C 2017 “Annamalai Computing Method for Formation of Geometric Series using in Science and Technology”, International Journal for Science and Advance Research in Technology, Vol. 3(8), pp 287-289.
  8. Annamalai C 2018 “Annamalai’s Computing Model for Algorithmic Geometric series and Its Mathematical Structures”, Mathematics and Computer Science – Science Publishing Group, USA, Vol. 3(1), pp1-6.
  9. Annamalai C 2018 “Algorithmic Computation for Annamalai’s Geometric Series and Summability”, Mathematics and Computer Science – Science Publishing Group, USA, Vol. 3(5), pp100-101.
  10. Annamalai C 2019 “Computation of Series of Series using Annamalai’s Computing Model”, Octogon Mathematical Magazine, Vol.27(1).
  11. Annamalai C 2019 “Computing for Development of A New Summability on Multiple Geometric Series”, International Journal of Mathematics, Game Theory and Algebra – Nova Science Publishers, Inc., Vol 27(4), pp 1-3.
  12. Annamalai C 2019 “A Model of Iterative Computations for Recursive Summability”, Tamsui Oxford Journal of Information and Mathematical Sciences – Airiti Library, Vol 33(1), pp 75-77.

IInternational Journal of Scientific Research in Mechanical and Materials Engineering

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Published

2020-01-30

Issue

Volume 4, Issue 1, January-February-2020

Section

Research Articles

License

Copyright (c) IJSRMME

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Chinnaraji Annamalai, Hari Mohan Srivastava, Vishnu Narayan Mishra, " Recursive Computations and Differential and Integral Equations for Summability of Binomial Coefficients with Combinatorial Expressions, IInternational Journal of Scientific Research in Mechanical and Materials Engineering(IJSRMME), ISSN : 2456-3307, Volume 4, Issue 1, pp.06-10, January-February-2020.