Journal ArticleDOI
Multiple Hypergeometric Functions and Applications
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This article is published in Journal of the Operational Research Society.The article was published on 1977-01-01. It has received 143 citations till now. The article focuses on the topics: Generalized hypergeometric function & Basic hypergeometric series.read more
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Book ChapterDOI
Models beyond the Dirichlet process
Antonio Lijoi,Igor Prünster +1 more
TL;DR: In this paper, the authors provide a review of Bayesian nonparametric models that go beyond the Dirichlet process, and show that in some cases of interest for statistical applications, the DPM is not an adequate prior choice.
Journal ArticleDOI
Analytical and numerical methods for massive two-loop self-energy diagrams
TL;DR: In this article, the precision results in terms of generalized, multivariable hypergeometric functions are presented giving explicit series for small and large momenta, and the imaginary parts of these integrals are expressed as complete elliptic integrals.
Journal ArticleDOI
Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
TL;DR: The Mellin and inverse Mellin transform is work out which connects the sums under consideration with the associated Poincare iterated integrals, also called generalized harmonic polylogarithms, and algebraic and structural relations are derived for the compactification of S-sum expressions.
Journal ArticleDOI
Simple one-dimensional integral representations for two-loop self-energies: the master diagram
S. Bauberger,M. Böhm +1 more
TL;DR: In this paper, the scalar two-loop self-energy master diagram is studied in the case of arbitrary masses and analytical results in terms of Lauricella-and Appell-functions are presented for the imaginary part.
Journal ArticleDOI
On the error probability of binary and M-ary signals in Nakagami-m fading channels
Hyundong Shin,Jae Hong Lee +1 more
TL;DR: New closed-form formulas for the exact average symbol-error rate (SER) of binary and M-ary signals over Nakagami-m fading channels with arbitrary fading index m.
References
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Journal ArticleDOI
Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
TL;DR: The Mellin and inverse Mellin transform is work out which connects the sums under consideration with the associated Poincare iterated integrals, also called generalized harmonic polylogarithms, and algebraic and structural relations are derived for the compactification of S-sum expressions.
Journal ArticleDOI
Simple one-dimensional integral representations for two-loop self-energies: the master diagram
S. Bauberger,M. Böhm +1 more
TL;DR: In this paper, the scalar two-loop self-energy master diagram is studied in the case of arbitrary masses and analytical results in terms of Lauricella-and Appell-functions are presented for the imaginary part.
Journal ArticleDOI
On the error probability of binary and M-ary signals in Nakagami-m fading channels
Hyundong Shin,Jae Hong Lee +1 more
TL;DR: New closed-form formulas for the exact average symbol-error rate (SER) of binary and M-ary signals over Nakagami-m fading channels with arbitrary fading index m.
Journal ArticleDOI
Scalar one-loop integrals using the negative-dimension approach
TL;DR: In this article, the authors study massive one-loop integrals with arbitrary powers of propagators in general dimension D and construct a template solution valid for all n which allows them to obtain a representation of the graph in terms of a finite sum of generalised hypergeometric functions with m + q − 1 variables.
Journal ArticleDOI
Accurate error-rate performance analysis of OFDM on frequency-selective Nakagami-m fading channels
TL;DR: The analysis and numerical results show that the asymptotic error-rate performance of an OFDM signal is similar to that of a single carrier signal transmitted over a Rayleigh fading channel, and it is observed that, depending on the number of channel taps, the error- rate performance does not necessarily improve with increasing Nakagami-m fading parameters.