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New Advances in Index Whittaker Transforms

Author

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  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea
    Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City 320314, Taiwan)

  • Jeetendrasingh Maan

    (Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India)

  • Emilio Ramón Negrín

    (Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de La Laguna (ULL), ULL Campus de Anchieta, ES-38271 La Laguna (Tenerife), Spain
    Instituto de Matemáticas y Aplicaciones (IMAULL), Universidad de La Laguna (ULL), ULL Campus de Anchieta, ES-38271 La Laguna (Tenerife), Spain)

Abstract

In this paper, we establish new L p -boundedness results and derive novel Parseval–Goldstein relations for the index Whittaker transform. Additionally, we obtain Abelian theorems for the distributional index Whittaker transform applied to distributions with compact support.

Suggested Citation

  • Hari Mohan Srivastava & Jeetendrasingh Maan & Emilio Ramón Negrín, 2025. "New Advances in Index Whittaker Transforms," Mathematics, MDPI, vol. 13(17), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:17:p:2850-:d:1741780
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