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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, Hindawi, vol. 2025, pages 1-12, September.
  • Handle: RePEc:hin:jijmms:5591006
    DOI: 10.1155/ijmm/5591006
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