EXTENSION OF SOME INTEGRAL TRANSFORM BY THE METHOD OF MULTIPLE INTEGRALS

admin August 15, 2024

Authors:

Dilip Kumar Jaiswal,D. S. Singh, Yashawant Jaiswal,

DOI NO:

https://doi.org/10.26782/jmcms.2024.08.00005

Keywords:

Fourier transform,Inverse Fourier transform,Lebesgue measurable,

Abstract

Extension of some Integral Transform by the Method of Multiple Integrals by Lebesgue measurable and Lebesgue integrable.

Refference:

I. AL-Qmari S. K. Q. (2020), Estimation of a modified integral associated with a special function kernel of fox’s h-function type, Commun. Korean Math. Soc. , No. 1, pp. 125–136.

II. Bhatter Sanjay (2022), On Certain New Results of Fractional Calculus InvolvingProduct of Generalized Special Functions , Int. J. Appl. Comput. Math. doi.org/10.1007/s40819-022-01253-0.

III. Choi J. H.(2013) ,Applications of multivalent functions associated with generalized fractional integral operator, Scientific Research, Advances in Pure Mathematics,3,1- 5.

IV. Debnath, L., Bhatta, D.: Integral Transforms and Their Applications, 3rd edn. Chapman Haubold H. J.(2009) , Mittag-Leffler Functions and their applications, Journal of Applied Mathematics, arXiv:0909.0230v2.

V. Gupta K.(2011), A Study of modified H-transform and generalized fractional integral operator of weyl type, International Journal of Pure and Applied Sciences and Technology, 7(1) (2011), pp. 59-67, ISSN 2229-6107.

VI. Gupta K. and Vandana Agrawal (2010) ,A Theorem Connecting the H-Transform and Fractional Integral Operators Involving the Multivariable H-Function, Tamsui Oxford Journal of Mathematical Sciences, Aletheia University, 26(4) , 383-395.

VII. Gupta K. C. and T. Gupta T. (2005), On unified Eulerian type integrals having general arguments, Soochow Journal of Mathematics, Volume – 31, No. 4, pp. 543-548.

VIII. Singh S.K.(2018), Integral Transform and the Solution of Fractional Kinetic Equation Involving Some Special Functions, International Journal of Mathematics Trends and Technology (/IJMTT) –V (55), pp. 5- 16.

IX. ThakurA.K., et.al. (2022), Development of Mittag-Leffler function of fractional differential operators, Jilin Daxue Xuebao (Gongxueban)/ Journal of Jilin University(Engineering and Technology Edition), 1671-5497, Vol. 41, (12).

X. Tassaddiq Asifa (2022), Unified Approach to Fractional Calculus Images Involving the Pathway Transform of Extended k-Gamma Function and Applications, Adv. Of Mathematical Physics, Vol. (22)| ArticleID 9698299, https://doi.org/10.1155/2022/9698299.

XI. Watugala G. K.(1998), Sumudu transform- a new integral transform to solve differential equations and control engineering problems. Math. Engr. Indust., 6(4): 319-329.

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