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Certain Properties of Konhauser Polynomial via Generalized Mittag-Leffler Function

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Fractional Calculus (ICFDA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 303))

Abstract

The principal aim of this paper is to establish several new properties of generalized Mittag-Leffler function via Konhauser polynomials. Properties like mixed recurrence relations, Differential equations, pure recurrence relations, finite summation formulae, and Laplace transform have been obtained.

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Acknowledgements

This work was supported to third author [S Jain] by the Science & Engineering Research Board (SERB), India (No: MTR/2017/000194) and fifth author’s [P Agarwal] research grant is supported by the Department of Science & Technology(DST), India (No: INT/RUS/RFBR/P-308) and Science & Engineering Research Board (SERB), India (No: TAR/2018/000001).

Author information

Authors and Affiliations

  1. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, 388120, Gujarat, India

    J. C. Prajapati

  2. H & H B Kotak Institute of Science, Saurashtra University, Rajkot, Gujarat, India

    N. K. Ajudia

  3. Department of Mathematics, Poornima College of Engineering, Jaipur, 302022, India

    Shilpi Jain

  4. College of Science and Theoretical Studies, Main Branch Riyadh, Female, Saudi Electronic University, Abu Bakr Street, PO. Box: 93499, Riyadh, KSA, Saudi Arabia

    Anjali Goswami

  5. Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India

    Praveen Agarwal

  6. Department of Mathematics, Harish Chandra Research Institute, Chhatnag Road, Jhunsi, 211019, Allahabad, India

    Praveen Agarwal

  7. International Center for Basic and Applied Sciences, Jaipur, 302029, India

    Praveen Agarwal

Authors
  1. J. C. Prajapati
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  2. N. K. Ajudia
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  3. Shilpi Jain
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  4. Anjali Goswami
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  5. Praveen Agarwal
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Corresponding author

Correspondence to Praveen Agarwal .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  2. Department of Mathematics and Computer Science, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  3. School of Engineering (MESA Lab), University of California, Merced, Merced, CA, USA

    YangQuan Chen

  4. Department of Mathematics, The University of Jordan, Amman, Jordan

    Shaher Momani

  5. Institute of Engineering, Polytechnic Institute of Porto, Porto, Portugal

    José António Tenreiro Machado

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Prajapati, J.C., Ajudia, N.K., Jain, S., Goswami, A., Agarwal, P. (2019). Certain Properties of Konhauser Polynomial via Generalized Mittag-Leffler Function. In: Agarwal, P., Baleanu, D., Chen, Y., Momani, S., Machado, J. (eds) Fractional Calculus. ICFDA 2018. Springer Proceedings in Mathematics & Statistics, vol 303. Springer, Singapore. https://doi.org/10.1007/978-981-15-0430-3_11

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