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A Class of Sequence Spaces Defined by l-Fractional Difference Operator

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Proceedings of the Fifth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1170))

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Abstract

The fractional order difference operator is generalized using l-Pochhammer symbol and l-fractional difference operator is defined. The l-fractional difference operator is further used to introduce a class of difference sequence spaces. Some properties and duals of the newly defined spaces are studied.

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Author information

Authors and Affiliations

  1. Department of Mathematics, R. N. A. R. College, Samastipur, Bihar, 848101, India

    Sanjay Kumar Mahto

  2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    Sanjay Kumar Mahto

  3. Department of Mathematics, Indian Institute of Technology Bhilai, Chattisgarh, 492015, India

    P. D. Srivastava

Authors
  1. Sanjay Kumar Mahto
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  2. P. D. Srivastava
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Corresponding author

Correspondence to Sanjay Kumar Mahto .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, UK

    Anthony T. S. Ho

  3. Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Information Management, National Taiwan University of Science and Technology, Taipei City, Taiwan

    Nai-Wei Lo

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Mahto, S.K., Srivastava, P.D. (2021). A Class of Sequence Spaces Defined by l-Fractional Difference Operator. In: Giri, D., Ho, A.T.S., Ponnusamy, S., Lo, NW. (eds) Proceedings of the Fifth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1170. Springer, Singapore. https://doi.org/10.1007/978-981-15-5411-7_17

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