An even entire function of order one is a special solution for a classical wave equation in one-dimensional space
Xiao‐Jun Yang, Abdulrahman Ali Alsolami, Ahmed Refaie Ali
Abstract
In this article we consider an even entire function of order one as the solution of the classical wave equation in one-dimensional space. We suggest a conjecture that this function has only purely real zeros in the entire complex plane. This is given as a new prospective on a nice connection with number theory and wave equation.
Topics & Concepts
ConjectureSpace (punctuation)Plane (geometry)Function (biology)Connection (principal bundle)Order (exchange)Mathematical analysisWave equationPlane waveMathematicsComplex planePhysicsPure mathematicsGeometryComputer scienceQuantum mechanicsEvolutionary biologyBiologyOperating systemFinanceEconomicsAlgebraic and Geometric AnalysisMathematical functions and polynomialsMeromorphic and Entire Functions