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

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

doi:10.22034/cmde.2023.55721.2322

فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری

تعداد نشریات	44
تعداد شماره‌ها	1,323
تعداد مقالات	16,270
تعداد مشاهده مقاله	52,952,942
تعداد دریافت فایل اصل مقاله	15,623,815

	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
[1] M. Akel, H. M. Elshehabey, and R. Ahmed, Generalized Laplace-type transform method for solving multilayer diffusion problems, J. Funct. Spaces., 2022 (2022), 2304219. [2] M. K. Bansal, D. Kumar, J. Singh, A. Tassaddiq, and K. S. Nisar, Some new results for the Srivastava–Luo–Raina M-transform pertaining to the incomplete H-functions, AIMS Math, 5(1) (2020), 717-722. [3] M. K. Bansal, D. Kumar, J. Singh, and K. S. Nisar, Finite and infinite integral formulas involving the family of fncomplete H-functions, Appl. Appl. Math., 15(3) (2020), 15-28. [4] M. K. Bansal, D. Kumar, K. S. Nisar, and J. Singh, Certain fractional calculus and integral transform results of incomplete -functions with applications, Math. Methods Appl. Sci., 43(8) (2020), 5602-5614. [5] M. K. Bansal, D. Kumar, J. Singh, and K. S. Nisar, On the solutions of a class of integral equations pertaining to incomplete H-function and incomplete H¯ -function, MDPI, Math., 8(5) (2020), 819. [6] F. B. M. Belgacem and R. Silambarasan, Theory of Natural Transform, Math. Eng. Sci. Aerosp. MESA, 3(1) (2012). [7] S. Bhatter, Nishant, D. L. Suthar, and S. D. Purohit, Boros integral involving the product of family of polynomials and the incomplete I-Function, J. Comput. Anal. Appl., 31(1) (2023), 400-412. [8] S. Bhatter, K. Jangid, S. Kumawat, D. Baleanu, D. L. Suthar, and S. D. Purohit, Analysis of the family of integral equation involving incomplete types of I and I-functions, Appl. Math. Sci. Eng. (AMSE), 31(1) (2023), 2165280. [9] S. Bhatter, Nishant, and Shyamsunder, Mathematical Model on the Effect of environmental pollution on Bio- logical Populations Advances in Mathematical Modelling, Applied Analysis and Computation, Springer Nature Switzerland, 666 (2023), 488-496. [10] F. B. M. Belgacem and A. A. Karaballi, Sumudu transform fundamental properties investigations and applications, Int. J. Stoch. Anal., 2006 (2006), 1-23. [11] K. Jangid, S. Bhatter, S. Meena, and S. D. Purohit, Certain classes of the incomplete I- functions and their properties, Discontin. Nonlinearity Complex., 12(2) (2023), 437-454. [12] K. Jangid, S. Bhatter, S. Meena, D. Baleanu, M. Al Qurashi, and S. D. Purohit, Some fractional calculus findings associated with the incomplete I-functions, Adv. Difference Equ., 2020 (2020), 265. [13] K. Jangid, S. D Purohit, K. S. Nisar, and S. Araci, Generating functions involving the incomplete H-functions, Analysis, 41(4) (2021), 239-244. [14] A. A. Kilbas, O. I. Marichev, and S. G. Samko, Fractional Integrals and Derivatives (Theory and Applications), Gordon and breach sci. publishers, Switzerland, (1993). [15] D. Loonker and P. K. Banerji, Applications of Natural transform to differential equations, J. Indian. Acad. Math., 35(1)(2013), 151-158. [16] S. Meena, S. Bhatter, K. Jangid, S. D Purohit, and K. S. Nisar, Certain generating functions involving the incomplete I-functions, TWMS J. App. and Eng. Math. 12(3) (2022), 985-995. [17] A. K. Rathie, A new generalization of generalized hypergeometric functions, Le Matematiche, 52(2) (1997), 297-310. [18] H.M. Srivastava, L. U. O. Minjie, and R. K. Raina, A new integral transform and its applications, Acta Mathe- matica Scientia, 35(6) (2015), 1386-1400. [19] H. M. Srivastava and N. P. Singh, The integration of certain products of the multivariable H-function with a general class of polynomials, Rend. Circ. Mat. Palermo, 32(2) (1983), 157-187. [20] H. M. Srivastava, Some remarks on a generalization of the Stieltjes transform, Publ. Math. Debr., 23 (1976), 119-122. [21] D. V. Widder, Laplace transform (PMS-6), 64 (2015), Princeton Univ. Press, New Jersey.
آمار تعداد مشاهده مقاله: 200 تعداد دریافت فایل اصل مقاله: 583

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

آمار

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