المؤلفون: Bouzeffour, Fethi, Ben Mansour, Hanen, Zaghouani, Ali

مصطلحات موضوعية: keyword:$d$-orthogonal polynomials, keyword:matrix element, keyword:coherent state, keyword:hypergeometric function, keyword:Meixner polynomials, keyword:$d$-dimensional linear functional vector, msc:22E47, msc:33C45, msc:33D15

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/146040

المؤلفون: Lin, Shy-Der, Liu, Shuoh-Jung, Lu, Han-Chun, Srivastava, Hari Mohan

مصطلحات موضوعية: keyword:hypergeometric function, keyword:hypergeometric polynomial, keyword:Srivastava polynomial, keyword:Bedient polynomial, keyword:generalized Bedient polynomial of the first and second kinds, keyword:multiple integral representation, keyword:Gamma function, keyword:Eulerian beta integral linearization relationship, keyword:Pochhammer symbol, keyword:shifted factorial, msc:33C45, msc:33C65, msc:42C05

وصف الملف: application/pdf

Relation: mr:MR3165508; zbl:Zbl 06373955; reference:[1] Appell, P., Fériet, J. Kampé de: Fonctions hypergéométriques et hypersphériques. Polynomes d'Hermite.Gauthier-Villars Paris (1926).; reference:[2] Bedient, P. E.: Polynomials Related to Appell Functions of Two Variables.Ph.D. Thesis University of Michigan (1959). MR 2612826; reference:[3] Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G.: Higher Transcendental Functions Vol. I.Bateman Manuscript Project McGraw-Hill Book Co. New York (1953). Zbl 0051.30303; reference:[4] González, B., Matera, J., Srivastava, H. M.: Some $q$-generating functions and associated generalized hypergeometric polynomials.Math. Comput. Modelling 34 (2001), 133-175. MR 1834567, 10.1016/S0895-7177(01)00053-X; reference:[5] Khan, M. A., Khan, A. H., Singh, M.: Integral representations for the product of Krawtchouk, Meixner, Charlier and Gottlieb polynomials.Int. J. Math. Anal., Ruse 5 (2011), 199-206. Zbl 1235.42022, MR 2776557; reference:[6] Lin, S.-D., Chao, Y.-S., Srivastava, H. M.: Some families of hypergeometric polynomials and associated integral representations.J. Math. Anal. Appl. 294 (2004), 399-411. Zbl 1048.33012, MR 2061333, 10.1016/j.jmaa.2004.01.024; reference:[7] Lin, S.-D., Liu, S.-J., Lu, H.-C., Srivastava, H. M.: Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials.Appl. Math. Comput. 218 (2011), 1330-1341. Zbl 1242.33022, MR 2831641, 10.1016/j.amc.2011.06.016; reference:[8] Lin, S.-D., Liu, S.-J., Srivastava, H. M.: Some families of hypergeometric polynomials and associated multiple integral representations.Integral Transforms Spec. Funct. 22 (2011), 403-414. Zbl 1258.33007, MR 2811972, 10.1080/10652469.2010.515055; reference:[9] Lin, S.-D., Srivastava, H. M., Wang, P.-Y.: Some families of hypergeometric transformations and generating relations.Math. Comput. Modelling 36 (2002), 445-459. Zbl 1042.33005, MR 1928601, 10.1016/S0895-7177(02)00175-9; reference:[10] Liu, S.-J., Chyan, C.-J., Lu, H.-C., Srivastava, H. M.: Multiple integral representations for some families of hypergeometric and other polynomials.Math. Comput. Modelling 54 (2011), 1420-1427. Zbl 1228.33002, MR 2812165, 10.1016/j.mcm.2011.04.013; reference:[11] Magnus, W., Oberhettinger, F., Soni, R. P.: Formulas and Theorems for the Special Functions of Mathematical Physics.3rd enlarged ed., Die Grundlehren der mathematischen Wissenschaften 52 Springer, Berlin (1966). Zbl 0143.08502, MR 0232968; reference:[12] Srivastava, H. M.: A contour integral involving Fox's $H$-function.Indian J. Math. 14 (1972), 1-6. Zbl 0226.33016, MR 0330548; reference:[13] Srivastava, H. M., Joshi, C. M.: Integral representation for the product of a class of generalized hypergeometric polynomials.Acad. R. Belg., Bull. Cl. Sci., V. Ser. 60 (1974), 919-926. Zbl 0288.33007, MR 0355131; reference:[14] Srivastava, H. M., Lin, S.-D., Liu, S.-J., Lu, H.-C.: Integral representations for the Lagrange polynomials, Shively's pseudo-Laguerre polynomials, and the generalized Bessel polynomials.Russ. J. Math. Phys. 19 (2012), 121-130. Zbl 1259.33013, MR 2892608, 10.1134/S1061920812010104; reference:[15] Srivastava, H. M., Manocha, H. L.: A Treatise on Generating Functions.Ellis Horwood Series in Mathematics and Its Applications Ellis Horwood Limited, Chichester (1984). Zbl 0535.33001, MR 0750112; reference:[16] Srivastava, H. M., Özarslan, M. A., Kaanoğlu, C.: Some families of generating functions for a certain class of three-variable polynomials.Integral Transforms Spec. Funct. 21 (2010), 885-896. Zbl 1223.33019, MR 2739383, 10.1080/10652469.2010.481439; reference:[17] Srivastava, H. M., Panda, R.: An integral representation for the product of two Jacobi polynomials.J. Lond. Math. Soc., II. Ser. 12 (1976), 419-425. Zbl 0304.33015, MR 0404726, 10.1112/jlms/s2-12.4.419; reference:[18] Szegö, G.: Orthogonal Polynomials.4th ed. American Mathematical Society Colloquium Publications Vol. 23 AMS, Providence (1975). Zbl 0305.42011, MR 0372517; reference:[19] Whittaker, E. T., Watson, G. N.: A Course of Modern Analysis.An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions, Repr. of the 4th ed. 1927 Cambridge University Press, Cambridge (1996). Zbl 0951.30002, MR 1424469

الاتاحة: http://hdl.handle.net/10338.dmlcz/143610

المؤلفون: Thäle, Christoph

مصطلحات موضوعية: keyword:hypergeometric function, keyword:iteration/nesting, keyword:random tessellation, keyword:segments, keyword:stochastic geometry, keyword:stochastic stability, msc:05B45, msc:52A22, msc:60D05, msc:60G55

وصف الملف: application/pdf

Relation: mr:MR2741883; zbl:Zbl 1224.60015; reference:[1] Abramowitz M., Stegun I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.Dover, New York, 1965, online version under http://www.math.ucla.edu/ cbm/aands/index.htm. Zbl 0643.33001, MR 1225604; reference:[2] Mecke J., Nagel W., Weiss V.: Length distributions of edges in planar stationary and isotropic STIT tessellations.J. Contemp. Math. Anal. 42 (2007), 28–43. Zbl 1155.60005, MR 2361580, 10.3103/S1068362307010025; reference:[3] Mecke J., Nagel W., Weiss V.: Some distributions for I-segments of planar random homogeneous STIT tessellations.Math. Nachr. (2010)(to appear). MR 2832660; reference:[4] Nagel W., Weiss V.: Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration.Adv. in Appl. Probab. 37 (2005), 859–883. Zbl 1098.60012, MR 2193987, 10.1239/aap/1134587744; reference:[5] Schneider R., Weil W.: Stochastic and Integral Geometry.Springer, Berlin, 2008. Zbl 1175.60003, MR 2455326; reference:[6] Schreiber T., Thäle C.: Typical geometry, second-order properties and central limit theory for iteration stable tessellations.arXiv:1001.0990 [math.PR] (2010). MR 2796670; reference:[7] Thäle C.: Moments of the length of line segments in homogeneous planar STIT tessellations.Image Anal. Stereol. 28 (2009), 69–76. MR 2538063, 10.5566/ias.v28.p69-76

الاتاحة: http://hdl.handle.net/10338.dmlcz/140726

المؤلفون: Symeonidis, Eleutherius

مصطلحات موضوعية: keyword:Poisson integral, keyword:Poisson kernel, keyword:Dirichlet problem, keyword:harmonic function, keyword:Riemannian manifold, keyword:hypergeometric function, msc:31C12, msc:33C90, msc:35J25

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119400

المؤلفون: González, Benito J., Negrin, Emilio R.

مصطلحات موضوعية: keyword:index transform, keyword:hypergeometric function, keyword:distributions of compact support, msc:44A15, msc:46F12

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/118878

المؤلفون: Hayek, N., González, B. J.

مصطلحات موضوعية: keyword:hypergeometric function, keyword:index integral transform, keyword:generalized functions, msc:33C90, msc:44A15, msc:44A20, msc:46F12

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/118623