New Clebsch–Gordan‐type integrals involving threefold products of complete elliptic integrals

Multiple elliptic integrals related to the generalized Clebsch–Gordan (CG) integral are of importance in many areas physics and special functions theory. Zhou has introduced applied Legendre function-based techniques prove symbolic evaluations for CG form involving twofold threefold products complete expressions, this includes Zhou's remarkable proof an open problem due Wan. The foregoing considerations motivate results article, which we closed-form new CG-type that involve K $$ \mathbf{K} E \mathbf{E} . Our methods based on use fractional derivative operators, via a variant technique had previously referred as semi-integration by parts.