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Sumudu Transform for Automatic Summations

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17th International Conference on Information Technology–New Generations (ITNG 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1134))

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Abstract

Addition is the most fundamental operation in mathematics and sciences. Summation of a sequence of numbers is a common task in mathematical related calculations and problem solving. Sumudu Transform was only introduced recently but has many nice properties for solving problems in computational science. In this work, the authors shall explore Sumudu Transform in computational approach which serves as foundation to various interesting and useful applications; we shall show that Sumudu Transform is a powerful tool to calculate the summations for both sequences of finite numbers and infinite numbers. Furthermore, the algorithms presented here can be implemented in algebra systems such as Maple to calculate the summations automatically.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Maryland Eastern Shore, Princess Anne, MD, USA

    Jun Zhang

  2. Department of Computer Systems Technology, New York City College of Technology, City University of New York, Brooklyn, NY, USA

    Fangyang Shen

Authors
  1. Jun Zhang
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  2. Fangyang Shen
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Corresponding author

Correspondence to Jun Zhang .

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Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Nevada, Las Vegas, Las Vegas, NV, USA

    Shahram Latifi

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Zhang, J., Shen, F. (2020). Sumudu Transform for Automatic Summations. In: Latifi, S. (eds) 17th International Conference on Information Technology–New Generations (ITNG 2020). Advances in Intelligent Systems and Computing, vol 1134. Springer, Cham. https://doi.org/10.1007/978-3-030-43020-7_37

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  • DOI: https://doi.org/10.1007/978-3-030-43020-7_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43019-1

  • Online ISBN: 978-3-030-43020-7

  • eBook Packages: EngineeringEngineering (R0)

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