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Characterizing q -Bessel Functions of the First Kind with Their New Summation and Integral Representations

Author

Listed:
  • Mohammed Fadel

    (Department of Mathematics, Lahej University, Lahej 73560, Yemen)

  • Nusrat Raza

    (Mathematics Section, Women’s College, Aligarh Muslim University, Aligarh 202002, India)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan)

Abstract

As a powerful tool for models of quantum computing, q -calculus has drawn the attention of many researchers in the discipline of special functions. In this paper, we present new properties and characterize q -Bessel functions of the first kind using some identities of q -calculus. The results presented in this article help us to obtain new expression results related to q -special functions. New summation and integral representations for q -Bessel functions of the first kind are also established. A few examples are also provided to demonstrate the effectiveness of the proposed strategy.

Suggested Citation

  • Mohammed Fadel & Nusrat Raza & Wei-Shih Du, 2023. "Characterizing q -Bessel Functions of the First Kind with Their New Summation and Integral Representations," Mathematics, MDPI, vol. 11(18), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3831-:d:1234664
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