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Derivation of Lobachevsky integrals in terms of special functions
, 2020We consider some integrals first derived by Nikolai Lobachevsky. We evaluate several of these definite integrals of the form ∫ ∞ 0 R(y) cos(b) + cosh(αy) dy in terms of a special function, where R(y) is a general complex function and b and α are ...
Robert Reynolds, Allan Stauffer
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