Multiple eulerian integrals with modified multivariable I-function having general arguments
*N. SrimannarayanaCorresponding authorsriman72@gmail.comDepartment of Mathematics Koneru Lakshmaiah Education Foundation Vaddeswaram Andhra Pradesh IndiaDepartment of Engineering Mathematics Koneru Lakshmaiah Education Foundation Vaddeswaram Guntur (Dt.,), Andhra Pradesh, IndiaView full profile → , Fredric Ayantfredericayant@gmail.comSix-Fours les Plages 83140 Var FranceDepartment of MathematicsSix-Fours les Plages, Var, 83140, FranceView full profile → , Y. Pragathi Kumarpragathi.ys@gmail.comDepartment of Mathematics Chalapathi Institute of Engineering and Technology Lam Guntur Andhra pradesh IndiaView full profile → , D. K. Pavan Kumarkrish.pav@gmail.comDepartment of Mathematics Gudlavalleru Engineering College Gudlavalleru Andhra pradesh IndiaDepartment of Mathematics Seshadri Rao Gudlavalleru Engineering CollegeGudlavalleru, Andhra Pradesh, IndiaView full profile → , B. Satyanarayanadrbsn63@yahoo.co.inDepartment of Mathematics Acharya Nagarjuna University Nagarjuna Nagar Andhra Pradesh IndiaView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 31 Jan 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1649
- Pages:
- 77–94
Abstract
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References
[1] AlokBhargava, Amber Srivastava and Rohit Mukherjee, On a General Class of Multiple Eulerian Integrals, IJLTEMAS, 3(8), 57-64 (2014).
[2] I.S. Gradsteyn and I.M. Ryxhik, Table of integrals, series and products: Academic New York (1980).
[3] Y. N. Prasad, Multivariable I-function,Vijnana Parishad Anusandhan Patrika 29, 231-237 (1986).
[4] Y.N. Prasad and A.K. Singh, Basic properties of the transform involving and H-function of r-variables as kernel. Indian Acad Math, no 2, page 109-115 (1982).
[5] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol, 1-12 (2014).
[6] R.K. Raina and H.M. Srivastava, Evaluation of certain class of Eulerian integrals. J. phys. A: Math.Gen. 26, 691-696 (1993).
[7] S.K. Raizada, A study of unified representation of special functions of mathematical physics and their use instatistical and boundary value problems, Ph.D. Thesis, Bundelkhand University, Jhansi, India (1991).
[8] M. Saigo, and R.K. Saxena, Unified fractional integral formulas forthe multivariable H-function. J. Fractional Calculus 15, 91-107 (l999).
[9] H.M. Srivastava, A contour integral involving Fox’s H-function, Indian. J. Math. 14, 1-6 (1972).
[10] H.M. Srivastava, A multilinear generating function for the Konhauser set of biorthogonal polynomials suggested by Laguerre polynomial, Pacific. J. Math. 177, page 183-191 (1985).
[11] H.M. Srivastava and M. Garg, Some integrals involving general class of polynomials and the multivariable H-function. Rev. Roumaine. Phys. 32, 685-692 (1987).
[12] H.M. Srivastava and M.A. Hussain, Fractional integration of the H-function of several variables. Comput. Math. Appl. 30 (9), 73-85 (1995).
[13] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of severalcomplex variables.Comment.Math. Univ. St. Paul. 24, 119-137 (1975).
[14] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables II.Comment. Math. Univ. St. Paul. 25, 167-197 (1976).
[15] H.M. Srivastava and N.P. Singh, The integration of certains products of the multivariable H-function with a general class of polynomials, Rend. Circ. Mat. Palermo. 32(2), 157-187 (1983).
[16] Devendra Kumar, Manish Kumar Bansal, Kottakkaran Sooppy Nisar and Jagdev Singh,Mathematical Modeling of internal blood pressure involving incomplete H-functions, Journal of Interdisciplinary Mathematics, V.22(7), 1213-1221 (2019). https://doi.org/10.1080/09720502.2019.1706842.
[17] Manish Kumar Bansal, Devendra Kumar, Kottakkaran Sooppy Nisar and Jagdev Singh, Applications of incomplete H-functions in determination of Lambert’s law, Journal of Interdisciplinary Mathematics, V. 22(7), 1205-1212 (2019). https://doi.org/10.1080/09720502.2019.1709319.
[18] Mohammad Idris Qureshi, Saima Jabee and Mohammad Shadab, General series identities, Some additive theorems on hypergeometric functions and their applications, Journal of Interdisciplinary Mathematics, V.25(2), 305-322 (2022). https://doi.org/10.1080/09720502.2021.1970946.
