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On the Finite Meijer G‐Transformation: Orthogonality, Operational Calculus, and Function Space Analysis

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  • Yashonanda Maurya
  • V. R. Lakshmi Gorty

Abstract

In this paper, finite Meijer G‐transformation has been defined. A system of eigenfunctions is verified for the orthogonality condition. Operational calculus properties are shown. The classical concept of finite Meijer G‐transforms is studied in the present text. The construction of testing function spaces and their duals is established, and an application related to mathematical physics is illustrated.

Suggested Citation

  • Yashonanda Maurya & V. R. Lakshmi Gorty, 2025. "On the Finite Meijer G‐Transformation: Orthogonality, Operational Calculus, and Function Space Analysis," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:5591006
    DOI: 10.1155/ijmm/5591006
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    References listed on IDEAS

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    1. J. Conlan & E. L. Koh, 1978. "On the Meijer transformation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 1, pages 1-15, January.
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