Meijer G function representations
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
On an integral related to biaxially anisotropic media
Journal of Computational and Applied Mathematics
Performance analysis of SSC diversity receivers over correlated Ricean fading satellite channels
EURASIP Journal on Wireless Communications and Networking
Performance Evaluation of Space---Time Block Codes Over Keyhole Weibull Fading Channels
Wireless Personal Communications: An International Journal
Capacity Analysis of MIMO Rayleigh Channel with Spatial Fading Correlation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IEEE Transactions on Communications
On the second order statistics of the multihop Rayleigh fading channel
IEEE Transactions on Communications
Optical wireless links with spatial diversity over strong atmospheric turbulence channels
IEEE Transactions on Wireless Communications
Cooperative dual-hop relaying systems with beamforming over Nakagami-m fading channels
IEEE Transactions on Wireless Communications
End-to-end performance of dual-hop semi-blind relaying systems with partial relay selection
IEEE Transactions on Wireless Communications
On the performance of cooperative systems with blind relays over Nakagami-m and Weibull fading
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
The Bivariate generalized-K (KG) distribution and its application to diversity receivers
IEEE Transactions on Communications
IEEE Transactions on Wireless Communications
Performance of dual-hop transmissions with fixed gain relays over generalized-K fading channels
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Performance of PPM on terrestrial FSO links with turbulence and pointing errors
IEEE Communications Letters
Statistical properties of the capacity of double Nakagami-m channels
ISWPC'10 Proceedings of the 5th IEEE international conference on Wireless pervasive computing
EURASIP Journal on Wireless Communications and Networking
Capacity of Orthogonalized Weibull MIMO Channels Under Different Adaptive Transmission Techniques
Wireless Personal Communications: An International Journal
IEEE Transactions on Communications
On the capacity of FSO links over gamma-gamma atmospheric turbulence channels using OOK signaling
EURASIP Journal on Wireless Communications and Networking
Symbolic definite (and indefinite) integration: methods and open issues
ACM Communications in Computer Algebra
Wireless Personal Communications: An International Journal
Performance Evaluation of Underlay Cognitive Multi-hop Networks Over Nakagami-m Fading Channels
Wireless Personal Communications: An International Journal
Wireless Personal Communications: An International Journal
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The most voluminous bibliography of the analytical methods for calculating of integrals is represented in the article [19]. It is shown there that the most effective and the simplest algorithm of analytical integration was made by O.I. Marichev [8, 9, 12]. Later it was realized in the reference-books [16-18, 20]. This algorithm allows us to calculate definite and indefinite integrals of the products of elementary and special functions of hypergeometric type. It embraces about 70 per cent of integrals which are included in the world reference-literature. It allows to calculate many other integrals too.The present article contains short description of this algorithm and its realization in the REDUCE system during the process of creation of INTEGRATOR system. Only one general method of integration is known to be realized on the computers, i.e. criterion algorithm for calculating of indefinite integrals of elementary functions through elementary functions by themselves (the authors of it are M. Bronstein and other).The idea of our algorithm is in the following. The initial integrals is transformed to contour integral from the ratio of products of gamma-functions by means of Mellin transform and parseval equality. The residue theorem is used for the calculating of the received integral which due to the strict rules results in sums of hypergeometric series. The value of integral itself and the integrand functions are the special cases of the well-known Meijer's G-function [4, 7, 8, 12, 14, 18].Programming packet is realized in programming languages PASCAL and REDUCE. It also offers the opportunity of finding the values for some classical integral transforms (Laplace, Hankel, Fourier, Mellin and etc.). The REDUCE's part of packet contains the main properties of the well-known special functions, such as the Bessel and gamma-functions and kindred functions, Anger function, Weber function, Whittaker functions, generalized hypergeometric functions. Special place in the packet is occupied by Meijers's G-function for which the main properties such as finding the particular cases and representation by means of hypergeometric series are realized.