Solutions of Polynomials(Method GRLN)

Published: 9 July 2021| Version 3 | DOI: 10.17632/c2vf5znxk6.3
nikos mantzakouras


While all the approximate methods mentioned or others that exist, give some specific solutions to the generalized transcendental equations or even polynomial, cannot resolve them completely. "What we ask when we solve a generalized transcendental equation or polynomials, is to find the total number of roots and not separate sets of roots in some random or specified intervals. Mainly because too many categories of transcendental equations have an infinite number of solutions in the complex set."There are some particular equations (Logarithmic functions, Trigonometric, functions power fubction,, or any Functions) that solve particular problems in Physics, and mostly need the generalized solution. Now coming the theory G.R.E-L, which deals with hypergeometric functions or interlocking with others functions, to gives a very satisfactory answer by use inverses functions and give solutions to all this complex problem”. Certain equations mainly exist in Logarithmic functions or Trigonometric functions or power functions, which mainly solve problems of Physics, and for the most significant part need generalized solution in C. This outcome now is called G.R.E-L and it faces by the help of favor hypergeometric functions or other any simple functions , giving very satisfactory answer in the total of this complex problem



National and Kapodistrian University of Athens


Functional Analysis