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by M Nardin - Cited by 18

http://www.ece.mtu.edu/faculty/wfp/articles/j_comp_appl_math.pdf

by M NARDIN - 1992 - Cited by 15

http://www.ece.mtu.edu/faculty/wfp/articles/acm_trans_math_soft.pdf

functions are particular cases of the hypergeometric function. For instance, ... We generalize the confluent hypergeometric function in the form: ...

http://www.springerlink.com/index/Y7HHH637G046N2M3.pdf

ratio of Appell hypergeometric functions. 1. As early as the end of the last century the French mathematician and physicist Appell defined four ...

http://www.springerlink.com/index/468227R865412476.pdf

by B Polynomials - Related articles

http://www.mathematica-journal.com/issue/v5i4/article/abad/74-76abad.mj.pdf

by AD MacDONALD - Cited by 8

http://dspace.mit.edu/bitstream/handle/1721.1/4966/RLE-TR-084-14234239.pdf?sequence=1

by COFAFAS ITS - Related articles

http://www.ima.umn.edu/preprints/jun99/1619.pdf

by A Singh - 1999 - Related articles

http://www.ima.umn.edu/preprints/feb99/1605.pdf

function M(a, y, x). It is also frequently denoted by ^ ( a ; y; x). Of all the confluent hypergeometric functions it has been the most extensively tabu- ...

http://qjmam.oxfordjournals.org/cgi/reprint/3/2/236.pdf

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http://www.ism.ac.jp/editsec/aism/pdf/026_1_0117.pdf

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http://www.ism.ac.jp/editsec/aism/pdf/024_3_0517.pdf

The concept of hypergeometric function was introduced as a concept to ... red to as GKZ-hypergeometric functions. We summarise their definition here to ...

http://www.math.jussieu.fr/~divizio/CIRM2009/COURS/beukers-cirm2009.pdf

by T Sasaki - 2001 - Cited by 5

http://www.emis.de/journals/EM/expmath/volumes/10/10.3/Sasaki.pdf

by RK RAINA - Cited by 1

http://www.emis.de/journals/JIPAM/images/230_08_JIPAM/230_08.pdf

5 can be expressed in a more compact and interesting form by writing down the infinite series defining the confluent hypergeometric function and using ...

http://ieeexplore.ieee.org/iel5/2220/4207029/04207031.pdf?arnumber=4207031

hypergeometric function and demonstrates their feature representation capability using the method of image reconstruction. Index Terms: ...

http://ieeexplore.ieee.org/iel5/11001/34649/01653149.pdf?arnumber=1653149

by RM Joshi - 1985 - Cited by 1

http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a6a_627.pdf

confluent hypergeometric function is studied by a systematic use of ... The following basic hypergeometric functions are defined in the usual manner ...

http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a83_1253.pdf

by P KOEV - Cited by 57

http://www-math.mit.edu/~plamen/files/hyper.pdf

This generalized form of the hypergeometric function has been ..... M. Dotsenko, On some applications of Wright's hypergeometric function, Camp. ...

http://www.informaworld.com/index/776421607.pdf

A new expansion for integral powers of the hypergeometric function corresponding to a special case of the incomplete beta function is summarized and ...

http://www.informaworld.com/index/757787442.pdf

uct (or convolution) involving the generalized hypergeometric function, we introduce two novel subclasses Qp,q,s(α1;A,B,λ) and Q+ ...

http://files.ele-math.com/abstracts/jmi-03-05-abs.pdf

by RW BARNARDTwo conjectures involving simultaneous sharp bounds for the hypergeometric function are in- cluded. Sharpness for the corresponding zero-balanced case is ...

http://files.ele-math.com/preprints/jmi-0352-pre-abs.pdf

Abstract: Using the Wright's generalized hypergeometric function, ... Wright generalized hypergeometric function, Demonstratio Math. 37(2004), no. ...

http://jma.prz.rzeszow.pl/jma/downloads/30_02.pdf

by RW BARNARD - Cited by 11

http://www.math.ttu.edu/~barnard/muir.pdf

by GD ANDERSON - 1995 - Cited by 64

http://www.math.ttu.edu/~barnard/zero-balanced2f1.pdf

P symboll and on the Hypergeometric equation and hyoergeometric function. .... Prove that the hypergeometric function defined above (7) satisfies the ...

http://www.fen.bilkent.edu.tr/~gurses/math543ex6.pdf

The Gaussian hypergeometric function 2F1 (a, b, c; z) has been studied ... 2. nth derivatives of the 2F1 hypergeometric functions with respect to the ...

http://www.iop.org/EJ/article/1751-8121/42/39/395208/a9_39_395208.pdf

by S Benzzoubeir - Related articles

http://liris.cnrs.fr/m2disco/coresa/coresa-2006/files/172.pdf

expressed as a weighted sum of two confluent hypergeometric functions. ... The confluent hypergeometric function arises naturally in the study of certain ...

http://www.cs.unc.edu/Research/Image/MIDAG/p01/biostat/Digital_1.pdf

by J Choi - 2007 - Related articles

http://mathnet.kaist.ac.kr/mathnet/thesis_file/06_05-43.pdf

We provide a generalization of Whipple's quadratic transformation formula for 3F2: The generalized hypergeometric function with p numerator and q de- ...

http://mathnet.kaist.ac.kr/mathnet/kms_tex/46323.pdf

asymptotic expansrons for real hypergeometric functions, for ex- ... We have chosen to consider the complex hypergeometric function 2Fl for an ...

http://www.stat.washington.edu/research/reports/1988/tr145.pdf

by MEH Ismail - Cited by 9

http://www.stat.berkeley.edu/tech-reports/554.pdf

21 Jul 2009 ... log of the Gauss hypergeometric function is constructed. ... new contiguous relation for the elliptic hypergeometric function and the ...

http://www.ams.org/spmj/2009-20-05/S1061-0022-09-01073-5/S1061-0022-09-01073-5.pdf

the hypergeometric function in a special (degenerate) situation that is not covered ...... Saddle points and level sets for the hypergeometric function; ...

http://www.ams.org/tran/1997-349-10/S0002-9947-97-01951-X/S0002-9947-97-01951-X.pdf

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http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-1/51_107.pdf

A hypergeometric function is a function whose power series representation has the form ... A hypergeometric function is called Gaussian if p = 2 and q = 1. ...

http://www.johndcook.com/HypergeometricFunctions.pdf

Complex hypergeometric function 2F1 for complex a, b, c, and z, by direct integration of the hypergeometric equation in the complex plane. ...

http://fizyka.umk.pl/nrbook/c6-12.pdf

of Degenerate Hypergeometric Functions. A. M. Sedletskii*. Moscow State University. Received November 15, 2005. Abstract—We find the asymptotics of the ...

http://www.maik.ru/abstract/matnt/7/matnt10229_abstract.pdf

special functions, Jacobi polynomials, classical hypergeometric .... scalar products to the Gaussian hypergeometric function F is recalled. Next ...

http://opus.kobv.de/zib/volltexte/1994/144/pdf/SC-94-15.pdf

by I Charpentier - Cited by 1

http://www.mcs.anl.gov/uploads/cels/papers/P1468.pdf

The results are obtained in terms of Gauss' hypergeometric function which are computable numerically using software MATHEMATICA. Mean and variance ...

http://vsites.unb.br/ie/est/publicacoes/Relat�rios/relat.11-2005.pdf

the important class of hypergeometric functions of the second order is incompletely ... analysis, the definition of the single hypergeometric function of ...

http://dmle.cindoc.csic.es/pdf/COLLECTANEAMATHEMATICA_1998_49_01_05.pdf

of the evaluation of standard approximations to hypergeometric functions and the ... The first n digits of f(z) for any hypergeometric function f ...

http://oldweb.cecm.sfu.ca/~pborwein/PAPERS/P33.pdf

Gauss 2F1 hypergeometric functions, it has been recently [4, 6] shown that the nth derivatives .... equation satisfied by the hypergeometric function pFq. ...

http://iopscience.iop.org/1751-8121/43/8/085210/pdf/1751-8121_43_8_085210.pdf

The ordinary hypergeometric function 2F1 is given by ... binomial symbols to define Gaussian hypergeometric functions, as follows. If A, B, ...

http://www.math.uiuc.edu/~jarouse/cv/ghyper.pdf

by B Schapira - Cited by 1

http://www.univ-orleans.fr/mapmo/membres/bschapira/HO.pdf

by F Beukers - Related articles

http://www.math.uu.nl/people/beukers/springschool99.pdf

by R Aghalary - Related articles

http://downloads.hindawi.com/journals/jia/2009/807943.pdf