Integral Transforms of Pragathi-Satyanarayana’s \(I\)-function

Authors

  • B. Satyanarayana Department of Mathematics, Acharya Nagarjuna University, Guntur, Andhra Pradesh, India https://orcid.org/0000-0002-1265-4189
  • D. K. Pavan Kumar Department of Mathematics, Seshadri Rao Gudlavalleru Engineering College (affiliated to Jawaharlal Nehru Technological University), Gudlavalleru, Vijayawada 521356, Andhra Pradesh, India https://orcid.org/0000-0001-5141-4586
  • Y. Pragathi Kumar Department General Studies, University of the People (Remote), Pasadena, California, USA https://orcid.org/0000-0002-6682-8340
  • N. Srimannarayana Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation (Deemed to be University), Vaddeswaram, Guntur 522302, Andhra Pradesh, India https://orcid.org/0009-0002-9726-8400

DOI:

https://doi.org/10.26713/cma.v16i2.2678

Keywords:

Pragathi-Satyanarayana I-function, Hankel transform, Sumudu transform, K-transform, Euler-beta transforms

Abstract

Many of the transformations like Euler, Hankel, Sumudu and \(K\)-transforms play a vital role in the field of engineering mathematics and have many applications. This paper refers to the study of Pragathi-Satyanarayana \(I\)-function of one variable. As a part of this study, we obtain different integral transforms of Pragathi-Satyanarayana \(I\)-function of one variable. Also, some of the~generalized transforms have been obtained as special cases. The integral transformations developed here are useful in real-world applications of mathematical science.

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Published

20-08-2025
CITATION

How to Cite

Satyanarayana, B., Kumar, D. K. P., Kumar, Y. P., & Srimannarayana, N. (2025). Integral Transforms of Pragathi-Satyanarayana’s \(I\)-function. Communications in Mathematics and Applications, 16(2), 517–524. https://doi.org/10.26713/cma.v16i2.2678

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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