000 03353nam a22004575i 4500
001 978-0-387-24233-0
003 DE-He213
005 20250710083931.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387242330
_a99780387242330
024 7 _a10.1007/b104910
_2doi
082 0 4 _a515.5
_223
100 1 _aIsmail, Mourad E.H.
_eeditor.
245 1 0 _aTheory and Applications of Special Functions
_h[recurso electrónico] :
_bA Volume Dedicated to Mizan Rahman /
_cedited by Mourad E.H. Ismail, Erik Koelink.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXVI, 496 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aDevelopments in Mathematics,
_x1389-2177 ;
_v13
505 0 _aMizan Rahman, His Mathematics and Literary Writings -- On the Completeness of Sets of q-Bessel Functions J?(3)(x; q) -- a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities -- On a Generalized Gamma Convolution Related to the q-Calculus -- Ramanujan and Cranks -- The Saalschütz Chain Reactions and Multiple q-Series Transformations -- Painlevé Equations and Associated Polynomials -- Zeta Functions of Heisenberg Graphs over Finite Rings -- q-Analogues of Some Multivariable Biorthogonal Polynomials -- Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials -- Continuous Hahn Functions as Clebsch-Gordan Coefficients -- New Proofs of Some q-Series Results -- The Little q-Jacobi Functions of Complex Order -- A Second Addition Formula for Continuous q-Ultraspherical Polynomials -- A Bilateral Series Involving Basic Hypergeometric Functions -- The Hilbert Space Asymptotics of a Class of Orthonormal Polynomials on a Bounded Interval -- Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity -- Summable Sums of Hypergeometric Series -- Askey-Wilson Functions and Quantum Groups -- An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials -- Strong Nonnegative Linearization of Orthogonal Polynomials -- Remarks on Some Basic Hypergeometric Series.
520 _aThis book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. Also, it includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject. Audience This book is intended for researchers and graduate students in special functions, algebraic combinatorics, quantum groups, and integrable systems.
650 0 _aMATHEMATICS.
650 0 _aINTEGRAL TRANSFORMS.
650 0 _aFUNCTIONS, SPECIAL.
650 1 4 _aMATHEMATICS.
650 2 4 _aSPECIAL FUNCTIONS.
650 2 4 _aAPPROXIMATIONS AND EXPANSIONS.
650 2 4 _aINTEGRAL TRANSFORMS, OPERATIONAL CALCULUS.
700 1 _aKoelink, Erik.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387242316
830 0 _aDevelopments in Mathematics,
_x1389-2177 ;
_v13
856 4 0 _uhttp://dx.doi.org/10.1007/b104910
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c56319
_d56319