Some Applications of Ramanujan's Master Theorem

Within this article we shall try to find whether it is possible to have a formulae, and prove a formula for solutions of the equations of the form ax^α+bx^β+c=0 .Where a,b,c,α, β are real numbers and α>β. And we will get a formula with the help of Ramanujan's Master theorem.

Applications, Ramanujan's Master, Theorem

1. Abel, Niels Henrik (1881) [1824], "Memoire sur les equations algebriques, ou l'on demontre l'impossibilite de la resolution de l'equation generale du cinquieme degre" (PDF), in Sylow, Ludwig; Lie, Sophus (eds.), CEuvres Completes de Niels Henrik Abel (in French), vol. I (2nd ed.), Grzndahl & Szn, pp. 28-33. [Google Scholar] [Crossref]

2. Abel, Niels Henrik (1881) [1826], "Demonstration de l'impossibilite de la resolu-tion algebrique des equations generales qui passent le quatrieme degre" (PDF), in Sylow, Ludwig; Lie, Sophus (eds.), CEuvres Completes de Niels Henrik Abel (in French), vol. I (2nd ed.), Grzndahl & Szn, pp. 66-87. [Google Scholar] [Crossref]

3. Ayoub, Raymond G. (1980), "Paolo Ruffini's Contributions to the Quintic", Archive for History of Exact Sciences, 22 (3): 253-277, doi:10.1007/BF00357046 [Google Scholar] [Crossref]

4. Bradley, Michael. The Birth of Mathematics: Ancient Times to 1300, p. 86 (Infobase Publishing 2006).https://en.wikipedia.org/wiki/Quadratic_formula. [Google Scholar] [Crossref]

5. Katugampola, Udita N, A new approach to generalized fractinal derivatives,Bulletin of Mathematical Analysis and applications. 6(4):1-15. [Google Scholar] [Crossref]

6. Niels Henrik Abel (1823), "Oplösning af et Par Opgaver ved Hjelp af bestemte Integraler (Solution de quelques problèmes à l'aide d'intégrales définies, Solution of a couple of problems by means of definite integrals)", Magazin for Naturvidenskaberne, Kristiania (Oslo): 55--68. [Google Scholar] [Crossref]

7. Podlubny, Igor; Magin, Richard L.; Trymorush, Irina (2017), "Niels Henrik Abel and the birth of fractional calculus", Fractional Calculus and Applied Analysis, 20 (5): 1068--1075. [Google Scholar] [Crossref]

8. Ruffini, Paolo (1813). Riflessioni intorno alla soluzione delle equazioni alge-braiche generali opuscolo del cav. dott. Paolo Ruffini. [Google Scholar] [Crossref]

9. Sterling, Mary Jane (2010), Algebra I For Dummies, Wiley Publishing, p. 219, ISBN 978-0-470-55964-2. [Google Scholar] [Crossref]

10. Struik, D. J.; Stevin, Simon (1958), The Principal Works of Simon Stevin, Mathematics (PDF), vol. II-B, C. V. Swets & Zeitlinger, p. 470. [Google Scholar] [Crossref]

11. Maurya, R.K., Roots of transcendental equations, international journal of research and analytical reviews, vol-8, issue-2, April 2021, pp 536-540. [Google Scholar] [Crossref]

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