Guseinov, Israfil IsaMamedov, B. A.2025-01-272025-01-2720071478-64351478-6443https://doi.org/10.1080/14786430601023799https://hdl.handle.net/20.500.12428/26608Using multinomial expansion theorems, a unified approximation for the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice is presented. The validity of this approximation is tested by other calculation methods. The approximate formulas derived are satisfactory to all other approximations and are a most suitable solution for the study of related physical properties of solids. Some examples of the effectiveness of this methodology are presented.eninfo:eu-repo/semantics/closedAccessSimple Cubic LatticeExact Product FormsSingular BehaviorA unified treatment of the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic latticeArticle8771107111210.1080/14786430601023799Q1WOS:0002446873000102-s2.0-33847133905Q3