Quadruple Series Equations Involving Heat Polynomials

In this paper an exact solution of the quadruple series equations involving heat polynomials Pn, x, t is given. We have also shown the solution of the quadruple series equations involving generalized Laguerre polynomials as a special case of the equations considered in the present paper. In this paper, we explore a novel class of quadruple series equations involving heat polynomials, which are central to various problems in mathematical physics, particularly in heat conduction and diffusion phenomena. Heat polynomials, known for their role in solving the heat equation, provide a robust framework for modeling and analyzing heat distribution over time. The study introduces and derives quadruple series equations that extend the classical series solutions, integrating the properties of heat polynomials to address more complex boundary conditions and multidimensional problems. Dr. Madhvi Gupta "Quadruple Series Equations Involving Heat Polynomials" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-8 | Issue-4 , August 2024, URL: https://www.ijtsrd.com/papers/ijtsrd68275.pdf Paper Url: https://www.ijtsrd.com/humanities-and-the-arts/education/68275/quadruple-series-equations-involving-heat-polynomials/dr-madhvi-gupta