Integral Transforms of Pragathi-Satyanarayana’s I - function
Keywords:
Pragathi-Satyanarayana I-function; Hankel transform, Sumudu trans-form, K-transform and Euler-beta transforms.Abstract
Many of the transformations like Euler, Hankel, Sumudu and K-transforms plays a vital role in the field of engineering mathematics and has 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 has been obtained as special cases. The integral transformations developed here are useful in real-world applications of mathematical science.
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function, H-function of one variable and H-function of variables,
Applied Mathematical Sciences, 57(2011)5, 2831 – 2838, http://www.m-hikari.com/ams/ams-2011/ams-57-60-2011/pragathiAMS57-60-2011.pdf.
B. Satyanarayana, P. Y. Kumar and B. V. Purnima, Mellin and Laplace transforms involving
product of Struve's function and I-function of two variables, Arya Bhatta Journal of Mathematics and Informatics, 10(2018)1, 17 – 24, http://www.ascent-journals.com/IJMSEA/Vol10No3/13-kumar.pdf
C. Fox, The and H-functions as symmetrical Fourier kernels, Transactions of American Mathe- matical Society Volume 32, issue 3, (year), 319-332. DOI: https://doi.org/10.1090/S0002-9947-1961-0131578-3
F. B. M. Belgacem, A. A. Karaballi, and S. L. Kalla, “Analytical investigations of the Sumudu transform and applications to integral production equations, “Mathematical Problems in Engineering,(2003),no.3,pp.103–118. https://downloads.hindawi.com/journals/mpe/2003/439059.pdf?_gl=1*yubnzy*_ga*ODk0NTcwMjQ1LjE3MTMxNTkwNzI.*_ga_NF5QFMJT5V*MTcxMzE1OTA3Mi4xLjAuMTcxMzE1OTA3Mi42MC4wLjA.&_ga=2.66119913.61480188.1713159073-894570245.1713159072
H. M. Srivastava, K. C. Gupta and S. P. Goyal, The H-functions of One and Two Variables with
Applications, South Asian Publishers, New Delhi (1982). DOI: https://doi.org/10.1002/ asna.2113060427
I. S. Gradshteyin and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press
Volume 6/e (2001). DOI: https://doi.org/10.1115/1.3452897
Rathie, Arjun K., A new generalization of generalized hypergeometric functions, Le Matematiche
Vol. LII. Fasc. II, (1997), pp. 297 – 310, DOI: https://doi.org/10.48550/arXiv.1206.0350.
V. Jat, V. P. Saxena and P. L. Sanodia, On certain special cases of existence conditions of I-
function, Jnanabha Volume 48, issue 1 , (2018), 72 – 78, http://docs.vijnana parishadofindia .org/ jnanabha/jnanabha_volume_48_v1_2018/6.pdf
Y. Pragathi Kumar and B. Satyanarayana, On Mellin transform involving the product of general class of polynomials, Struve’s function and H – function of Two variables, Gen. Math. Notes., 3(2011)2, http://www.kurims.kyoto-u.ac.jp/EMIS/journals/GMN/yahoo_site_admin/assets/docs/ 13_GMN-172-V3N2.160133317.pdf
Y. Pragathi Kumar and B. Satyanarayana, A Study of Psi-Function, Journal of Informatics and
Mathematical Sciences Volume 12, issue 2, (2020), 159-171, DOI: https://doi.org /10.26713/ jims.v12i2.1340
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