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Derivation of some definite integrals
Robert Reynolds
In this work derivations of definite integrals listed in Prudnikov volume I, Gradshteyn and Ryzhik and a few other tables are produced. Special cases of these integrals in terms of…
A note on the Hurwitz-Lerch zeta function
Robert Reynolds
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta funct…
A short note on a definite integral of a general form
Robert Reynolds
In this note we derive some interesting definite integrals involving Malmsten logarithm forms, reciprocal logarithm forms and Kölbig type integrals in terms of special functions.
An extended Cauchy integral
Robert Reynolds
A new integral representation is derived using a definite integral given by Cauchy and used to evaluate a number of integrals containing the finite series of special functions.