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Fibonacci Series with Several Parameters

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Differential and Difference Equations with Applications (ICDDEA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

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Abstract

In this paper, we introduce higher order difference operator and its inverse by which we obtain x-Fibonacci sequence and its series with several theorems and results. Suitable examples verified by MATLAB are provided to illustrate our main results.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sacred Heart College, Tirupattur, India

    G. Britto Antony Xavier & B. Mohan

Authors
  1. G. Britto Antony Xavier
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  2. B. Mohan
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Corresponding authors

Correspondence to G. Britto Antony Xavier or B. Mohan .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Engenharia, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  3. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  4. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    John R. Graef

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Xavier, G.B.A., Mohan, B. (2018). Fibonacci Series with Several Parameters. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_47

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