%0 Journal Article %T Applications of Analytic Continuation to Tables of Integral Transforms and Some Integral Equations with Hyper-Singular Kernels %A Alexander G. Ramm %J Open Journal of Optimization %P 1-6 %@ 2325-7091 %D 2022 %I Scientific Research Publishing %R 10.4236/ojop.2022.111001 %X Analytic continuation of some classical formulas with respect to a parameter is discussed. Examples are presented. The validity of these formulas is greatly expanded. Application of these results to solving some integral equations with hyper-singular kernels is given. %K Analytic Continuation %K Integral Equations with Hyper-Singular Kernels %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=117126