Eulerian integrals of I-function
V. Sri Lakshmikanurisrilakshmi@gmail.comDepartment of Engineering MathematicsVaddeswaramKoneru Lakshmaiah Education FoundationGuntur (Dt.,), Aandhra Pradesh, IndiaView full profile → , *N. SrimannarayanaCorresponding authorsriman72@gmail.comDepartment of Engineering MathematicsVaddeswaramKoneru Lakshmaiah Education FoundationGuntur (Dt.,), Aandhra Pradesh, IndiaView full profile → , M. V. Chakradhara Raochakrimv@yahoo.comDepartment of MathematicsVidya Vikas Educational TrustFirst Grade CollegeMysore, IndiaView full profile → , Fredric Ayantfredericayant@gmail.comDepartment of MathematicsSix-Fours les Plages, Var, 83140, FranceView full profile → , D. K. Pavan Kumarkrish.pav@gmail.comDepartment of MathematicsSeshadri Rao Gudlavalleru Engineering CollegeGudlavalleru, Andhra Pradesh, IndiaView full profile →
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- Received:
- 10 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2353
- Pages:
- 2121–2130
Abstract
Keywords
Subject Classifications
References
[1] B. L. J. Braaksma, “Asymptotic expansions and analytic continuations for a class of Barnes-integrals,” Compositio Mathematica, vol. 15, pp. 239–341 (1962–1964).
[2] A. Erdélyi, W. Magnus, F. Oberhettinger, and E. G. Tricomi, Tables of Integral Transforms, Vols. I and II, New York: McGraw-Hill (1954).
[3] I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York (1980).
[4] Y. N. Prasad, “Multivariable I-function,” Vijnana Parishad Anusandhan Patrika, vol. 29, pp. 231–237 (1986).
[5] Y. N. Prasad and A. K. Singh, “Basic properties of the transform involving an H-function of r variables as kernel,” Indian Acad. Math., no. 2, pp. 109–115 (1982).
[6] A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series of Elementary Functions (in Russian), Nauka, Moscow (1981).
[7] H. M. Srivastava and R. Panda, “Some expansion theorems and generating relations for the H-function of several complex variables,” Comment. Math. Univ. St. Pauli, vol. 24, pp. 119–137 (1975).
[8] 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. Pauli, vol. 25, pp. 167–197 (1976).
[9] H. S. P. Srivastava, “Certain class of Eulerian integrals of multivariable generalized hypergeometric function,” J. Indian Acad. Math., vol. 21, no. 2, pp. 255–270 (1999).
[10] H. S. P. Srivastava, “On fractional derivative of certain generalized hypergeometric functions of several complex variables,” Vikram Math. J., vol. 15, pp. 41–56 (1995).
[11] N. Srimannarayana, F. Ayant, Y. Pragathi Kumar, D. K. Pavan Kumar, and B. Satyanarayana, “Multiple Eulerian integrals with modified multivariable I-function having general arguments,” J. Interdiscip. Math., vol. 26, pp. 77–94 (2023).
[12] B. Satyanarayana, D. K. Pavan Kumar, Y. Pragathi Kumar, and N. Srimannarayana, “Multiple integrals involving Pragathi–Satyanarayana’s I-function, generalized gamma and generalized hypergeometric functions,” Commun. Appl. Nonlinear Anal., vol. 31, no. 2S, pp. 687–695 (2024).
[13] B. Satyanarayana, D. K. Pavan Kumar, Y. Pragathi Kumar, F. Ayant, and N. Srimannarayana, “Solution of a boundary value problem involving general class of polynomial, Struve’s function and PSI function of one variable,” Communications on Applied Nonlinear Analysis, vol. 31, no. 7S, pp. 649–659 (2024).
[14] B. Singh, N. Dhiman, S. Gupta, and A. Gupta, “Some new constructions of irreducible polynomials using composition of polynomials over finite fields,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 28, no. 6, pp. 2383–2396 (2025), doi: 10.47974/JDMSC-2308.
[15] M. V. Santhi, V. U. M. Rao, and Y. Aditya, “Bianchi type-I bulk viscous string model in f(R) gravity,” Journal of Dynamical Systems and Geometric Theories, vol. 17, no. 1, pp. 23–38 (2019).
[16] A. S. Nimkar, J. S. Wath, and V. M. Wankhade. “Bianchi Type-IX Cosmological Model in Self-Creation Theory of Gravitation.” Journal of Dynamical Systems and Geometric Theories, vol. 19, no. 1, pp. 25-34, (2021).




