Theory and Applications of Special Functions A Volume Dedicated to Mizan Rahman /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Ismail, Mourad E.H (Επιμελητής έκδοσης), Koelink, Erik (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2005.
• Σειρά: Developments in Mathematics, 13
• Θέματα: Mathematics.; Approximation theory.; Integral transforms.; Operational calculus.; Special functions.; Special Functions.; Approximations and Expansions.; Integral Transforms, Operational Calculus.

 This 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. 

 Mizan 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.