LEADER 02416nam 2200577 450 001 9910818933303321 005 20170918221625.0 010 $a1-4704-0093-6 035 $a(CKB)3360000000464700 035 $a(EBL)3113815 035 $a(SSID)ssj0000889157 035 $a(PQKBManifestationID)11521347 035 $a(PQKBTitleCode)TC0000889157 035 $a(PQKBWorkID)10875857 035 $a(PQKB)10825300 035 $a(MiAaPQ)EBC3113815 035 $a(RPAM)4417368 035 $a(PPN)195413997 035 $a(EXLCZ)993360000000464700 100 $a20140903h19941994 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA proof of the q-Macdonald-Morris conjecture for BCn /$fKevin W.J. Kadell 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1994. 210 4$dİ1994 215 $a1 online resource (93 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 108, Number 516 300 $a"March 1994, Volume 108, Number 516 (first of 5 numbers)." 311 $a0-8218-2552-6 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""1. Introduction""; ""2. Outline of the proof and summary""; ""3. The simple roots and reflections of B[sub(n)] and C[sub(n)]""; ""4. The g-engine of our q-machine""; ""5. Removing the denominators""; ""6. The q-transportation theory for BC[sub(n)]""; ""7. Evaluation of the constant terms A, E, K, F and Z""; ""8. q-analogues of some functional equations""; ""9. g-transportation theory revisited""; ""10. A proof of Theorem 4""; ""11. The parameter r""; ""12. The g-Macdonald-Morris conjecture for B[sub(n)], B[sup(v)][sub(n)], C[sub(n)], C[sup(v)][sub(n)] and D[sub(n)]"" 327 $a""13. Conclusion"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 108, Number 516. 606 $aBeta functions 606 $aDefinite integrals 606 $aSelberg trace formula 615 0$aBeta functions. 615 0$aDefinite integrals. 615 0$aSelberg trace formula. 676 $a515/.52 700 $aKadell$b Kevin W. J.$f1950-$01609399 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818933303321 996 $aA proof of the q-Macdonald-Morris conjecture for BCn$93984250 997 $aUNINA LEADER 04954nam 2201009z- 450 001 9910557324203321 005 20220111 035 $a(CKB)5400000000042637 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/76833 035 $a(oapen)doab76833 035 $a(EXLCZ)995400000000042637 100 $a20202201d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNew Challenges Arising in Engineering Problems with Fractional and Integer Order 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 online resource (182 p.) 311 08$a3-0365-1968-8 311 08$a3-0365-1969-6 330 $aMathematical models have been frequently studied in recent decades, in order to obtain the deeper properties of real-world problems. In particular, if these problems, such as finance, soliton theory and health problems, as well as problems arising in applied science and so on, affect humans from all over the world, studying such problems is inevitable. In this sense, the first step in understanding such problems is the mathematical forms. This comes from modeling events observed in various fields of science, such as physics, chemistry, mechanics, electricity, biology, economy, mathematical applications, and control theory. Moreover, research done involving fractional ordinary or partial differential equations and other relevant topics relating to integer order have attracted the attention of experts from all over the world. Various methods have been presented and developed to solve such models numerically and analytically. Extracted results are generally in the form of numerical solutions, analytical solutions, approximate solutions and periodic properties. With the help of newly developed computational systems, experts have investigated and modeled such problems. Moreover, their graphical simulations have also been presented in the literature. Their graphical simulations, such as 2D, 3D and contour figures, have also been investigated to obtain more and deeper properties of the real world problem. 606 $aTechnology: general issues$2bicssc 610 $aAdomian decomposition method 610 $aAtangana-Baleanu derivative 610 $aBernoulli sub-equation function method 610 $aBurgers' equation 610 $aCaputo derivative 610 $acaputo fractional derivative 610 $aCaputo fractional derivative 610 $achaotic finance 610 $acomplex solution 610 $aconstant proportional Caputo derivative 610 $acontour surface 610 $aDirichlet and Neumann boundary conditions 610 $aElazki transform 610 $aequilibrium point 610 $aerror estimate 610 $afixed point theory 610 $afractional calculus 610 $afractional differential equations 610 $afractional generalized biologic population 610 $afractional integral 610 $afractional kinetic equation 610 $ageneralized Lauricella confluent hypergeometric function 610 $aharvesting rate 610 $aHilfer fractional derivative 610 $aimplicit discretization numerical scheme 610 $aincomplete I-functions 610 $aintegral inequalities 610 $aLaplace transform 610 $aLaplace transforms 610 $aLorenzo-Hartely function 610 $amaximal operator 610 $amodeling 610 $amodified alpha equation 610 $an/a 610 $aoperator theory 610 $aperiodic and singular complex wave solutions 610 $apredator-prey model 610 $arational function solution 610 $areproducing kernel method 610 $aRiemann-Liouville fractional integral operator 610 $ashifted Legendre polynomials 610 $astability analysis 610 $aSumudu transform 610 $athe (2+1)-dimensional hyperbolic nonlinear Schro?dinger equation 610 $athe (m + 1/G')-expansion method 610 $athree-point boundary value problem 610 $atime scales 610 $atraveling waves solutions 610 $auniqueness of the solution 610 $avariable coefficient 610 $avariable exponent 610 $aVolterra-type fractional integro-differential equation 615 7$aTechnology: general issues 700 $aBaskonus$b Haci Mehmet$4edt$01325345 702 $aSa?nchez Ruiz$b Luis Manuel$4edt 702 $aCiancio$b Armando$4edt 702 $aBaskonus$b Haci Mehmet$4oth 702 $aSa?nchez Ruiz$b Luis Manuel$4oth 702 $aCiancio$b Armando$4oth 906 $aBOOK 912 $a9910557324203321 996 $aNew Challenges Arising in Engineering Problems with Fractional and Integer Order$93036777 997 $aUNINA