TITLE:
Applications of Analytic Continuation to Tables of Integral Transforms and Some Integral Equations with Hyper-Singular Kernels
AUTHORS:
Alexander G. Ramm
KEYWORDS:
Analytic Continuation, Integral Equations with Hyper-Singular Kernels
JOURNAL NAME:
Open Journal of Optimization,
Vol.11 No.1,
March
30,
2022
ABSTRACT: 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.