Srivastava-Luo-Raina M-transform involving the incomplete I-functions

Bhatter, Sanjay; -, Nishant; -, Shyamsunder; Purohit, Sunil Dutt

doi:10.22034/cmde.2023.55721.2322

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	Srivastava-Luo-Raina M-transform involving the incomplete I-functions
Computational Methods for Differential Equations
مقاله 13، دوره 12، شماره 1، فروردین 2024، صفحه 159-172 اصل مقاله (350.47 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55721.2322
نویسندگان
Sanjay Bhatter¹؛ Nishant -¹؛ Shyamsunder -¹؛ Sunil Dutt Purohit^* ²^{، 3}
¹Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.
²Department of Mathematics, Faculty of Science, Rajsthan Technical University, India.
³Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
چکیده
In this article, the Srivastava-Luo-Raina $M$-transform is applied to establish the image formula for the multiplication of a family of polynomials and the incomplete $I$-functions. Additionally, we discovered the image formulations for a few significant and valuable cases of incomplete $I$-functions. The conclusions drawn in this study are general in nature, and by assigning specific values to the parameters involved in the primary conclusions, numerous previously discovered and few undiscovered conclusions can be achieved.
کلیدواژه‌ها
Incomplete gamma function؛ Incomplete $I$-functions؛ Mellin-Barnes type contour integral

مراجع
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Srivastava-Luo-Raina M-transform involving the incomplete I-functions