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Inspired by the results obtained by Brychkov (\cite{Brychkov2002}), the authors evaluate a large number of new and interesting double definite integrals. The results are obtained with the use of classical hypergeometric summation theorems and a well-known double finite integral due to Edwards (\cite{Edwards}). The results are given in terms of Psi and Hurwitz zeta functions suitable for numerical computations.
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참고문헌 (7)
참고문헌 신청
A. P. Prudnikov / 1990 / Intregrals and series, Vol. 3:More special functions / Gordon and Breach Science Publishers
E. D. Rainville / 1960 / Special Functions / Macmillan Company
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
J. Edwards / 1954 / A treatise on the integral calculus with applications, examples and problems II / Chelsea Publishing Company
L. J. Slater / 1966 / Generalized Hypergeometric Functions / Cambridge University Press
E. D. Rainville / 1960 / Special Functions / Macmillan Company
H. M. Srivastava / 2012 / Zeta and q-Zeta Functions and Associated Series and Integrals / Elsevier Science Publishers
J. Edwards / 1954 / A treatise on the integral calculus with applications, examples and problems II / Chelsea Publishing Company
L. J. Slater / 1966 / Generalized Hypergeometric Functions / Cambridge University Press
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